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210021211002020 = 225112509496734327
BaseRepresentation
bin101111110000001101011111…
…101011010101010010100100
31000112121211110022002212010012
4233300031133223111102210
5210011441420004031040
62022402225023545352
762144350252346135
oct5760153753252244
91015554408085105
10210021211002020
1160a1254a407100
121b67b62675b258
139025bb8969172
1439c111bbcdc8c
15194320120d865
hexbf035fad54a4

210021211002020 has 144 divisors (see below), whose sum is σ = 485848869085440. Its totient is φ = 76203741968640.

The previous prime is 210021211002017. The next prime is 210021211002023. The reversal of 210021211002020 is 20200112120012.

It is an interprime number because it is at equal distance from previous prime (210021211002017) and next prime (210021211002023).

It is a junction number, because it is equal to n+sod(n) for n = 210021211001986 and 210021211002004.

It is not an unprimeable number, because it can be changed into a prime (210021211002023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6118234097 + ... + 6118268423.

It is an arithmetic number, because the mean of its divisors is an integer number (3373950479760).

Almost surely, 2210021211002020 is an apocalyptic number.

210021211002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210021211002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242924434542720).

210021211002020 is an abundant number, since it is smaller than the sum of its proper divisors (275827658083420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210021211002020 is a wasteful number, since it uses less digits than its factorization.

210021211002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39834 (or 39821 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210021211002020 its reverse (20200112120012), we get a palindrome (230221323122032).

The spelling of 210021211002020 in words is "two hundred ten trillion, twenty-one billion, two hundred eleven million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 509 605 1018 1210 2036 2420 2545 4967 5090 5599 9934 10180 11198 19868 22396 24835 27995 34327 49670 54637 55990 61589 68654 99340 109274 111980 123178 137308 171635 218548 246356 273185 307945 343270 377597 546370 601007 615890 686540 755194 1092740 1202014 1231780 1510388 1887985 2404028 2528203 3005035 3775970 4153567 5056406 6010070 7551940 8307134 10112812 12020140 12641015 16614268 17472443 20767835 25282030 27810233 34944886 41535670 50564060 55620466 69889772 83071340 87362215 111240932 139051165 170502209 174724430 192196873 278102330 305912563 341004418 349448860 384393746 556204660 611825126 682008836 768787492 852511045 960984365 1223650252 1529562815 1705022090 1875524299 1921968730 2114165603 3059125630 3410044180 3751048598 3843937460 4228331206 6118251260 7502097196 8456662412 9377621495 10570828015 18755242990 20630767289 21141656030 37510485980 41261534578 42283312060 82523069156 86785624381 103153836445 173571248762 206307672890 347142497524 412615345780 433928121905 867856243810 954641868191 1735712487620 1909283736382 3818567472764 4773209340955 9546418681910 10501060550101 19092837363820 21002121100202 42004242200404 52505302750505 105010605501010 210021211002020