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10021212020120 = 2357233041511703
BaseRepresentation
bin1001000111010011111011…
…0010000101110110011000
31022111000111111101112010012
42101310332302011312120
52303141420234120440
633151403052141052
72053002655501460
oct221647662056630
938430444345105
1010021212020120
113213a76a29764
12115a217767788
13578cc4975812
1426905a392ba0
15125a1c2c0e65
hex91d3ec85d98

10021212020120 has 128 divisors (see below), whose sum is σ = 26898109655040. Its totient is φ = 3285372456960.

The previous prime is 10021212020117. The next prime is 10021212020123. The reversal of 10021212020120 is 2102021212001.

10021212020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10021212020117) and next prime (10021212020123).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10021212020095 and 10021212020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021212020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19328189 + ... + 19839891.

It is an arithmetic number, because the mean of its divisors is an integer number (210141481680).

Almost surely, 210021212020120 is an apocalyptic number.

10021212020120 is a gapful number since it is divisible by the number (10) 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 10021212020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449054827520).

10021212020120 is an abundant number, since it is smaller than the sum of its proper divisors (16876897634920).

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

10021212020120 is a wasteful number, since it uses less digits than its factorization.

10021212020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514785 (or 514781 counting only the distinct ones).

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

Adding to 10021212020120 its reverse (2102021212001), we get a palindrome (12123233232121).

The spelling of 10021212020120 in words is "ten trillion, twenty-one billion, two hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3041 3220 6082 6440 12164 15205 21287 24328 30410 42574 60820 69943 85148 106435 121640 139886 170296 212870 279772 349715 425740 489601 511703 559544 699430 851480 979202 1023406 1398860 1958404 2046812 2448005 2558515 2797720 3581921 3916808 4093624 4896010 5117030 7163842 9792020 10234060 11769169 14327684 17909605 19584040 20468120 23538338 28655368 35819210 47076676 58845845 71638420 82384183 94153352 117691690 143276840 164768366 235383380 329536732 411920915 470766760 659073464 823841830 1556088823 1647683660 3112177646 3295367320 6224355292 7780444115 10892621761 12448710584 15560888230 21785243522 31121776460 35790042929 43570487044 54463108805 62243552920 71580085858 87140974088 108926217610 143160171716 178950214645 217852435220 250530300503 286320343432 357900429290 435704870440 501060601006 715800858580 1002121202012 1252651502515 1431601717160 2004242404024 2505303005030 5010606010060 10021212020120