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10210000010020 = 2251981190736527
BaseRepresentation
bin1001010010010011001101…
…1011000111101100100100
31100011001210110022002012021
42110210303123013230210
52314240040000310040
633414224222032524
72102435214104416
oct224446333075444
940131713262167
1010210000010020
113287044916808
12118a924418744
13590a50169595
142742493769b6
1512a8bb27824a
hex949336c7b24

10210000010020 has 96 divisors (see below), whose sum is σ = 22622836561920. Its totient is φ = 3859915731840.

The previous prime is 10210000010009. The next prime is 10210000010071. The reversal of 10210000010020 is 2001000001201.

It is a junction number, because it is equal to n+sod(n) for n = 10210000009985 and 10210000010012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279500997 + ... + 279537523.

It is an arithmetic number, because the mean of its divisors is an integer number (235654547520).

Almost surely, 210210000010020 is an apocalyptic number.

10210000010020 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 10210000010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311418280960).

10210000010020 is an abundant number, since it is smaller than the sum of its proper divisors (12412836551900).

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

10210000010020 is a wasteful number, since it uses less digits than its factorization.

10210000010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38273 (or 38271 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10210000010020 its reverse (2001000001201), we get a palindrome (12211000011221).

The spelling of 10210000010020 in words is "ten trillion, two hundred ten billion, ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 811 907 1622 1814 3244 3628 4055 4535 8110 9070 15409 16220 17233 18140 30818 34466 36527 61636 68932 73054 77045 86165 146108 154090 172330 182635 308180 344660 365270 694013 730540 735577 1388026 1471154 2776052 2942308 3470065 3677885 6940130 7355770 13880260 13975963 14711540 27951926 29623397 33129989 55903852 59246794 66259978 69879815 118493588 132519956 139759630 148116985 165649945 279519260 296233970 331299890 562844543 592467940 629469791 662599780 1125689086 1258939582 2251378172 2517879164 2814222715 3147348955 5628445430 6294697910 11256890860 12589395820 26868421079 53736842158 107473684316 134342105395 268684210790 510500000501 537368421580 1021000001002 2042000002004 2552500002505 5105000005010 10210000010020