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10215021102 = 23112138912161
BaseRepresentation
bin10011000001101110…
…01101101000101110
3222100220100211121220
421200313031220232
5131410021133402
64405343204210
7511065150426
oct114067155056
928326324556
1010215021102
114372127600
121b90ba6666
13c6a4038b0
146cc935486
153ebbd2dbc
hex260dcda2e

10215021102 has 96 divisors (see below), whose sum is σ = 24457295520. Its totient is φ = 2825011200.

The previous prime is 10215021049. The next prime is 10215021107. The reversal of 10215021102 is 20112051201.

10215021102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102150211022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215021107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833902 + ... + 846062.

It is an arithmetic number, because the mean of its divisors is an integer number (254763495).

Almost surely, 210215021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10215021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12228647760).

10215021102 is an abundant number, since it is smaller than the sum of its proper divisors (14242274418).

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

10215021102 is a wasteful number, since it uses less digits than its factorization.

10215021102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10215021102 its reverse (20112051201), we get a palindrome (30327072303).

The spelling of 10215021102 in words is "ten billion, two hundred fifteen million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 89 121 143 178 242 267 286 363 429 534 726 858 979 1157 1573 1958 2314 2937 3146 3471 4719 5874 6942 9438 10769 12161 12727 21538 24322 25454 32307 36483 38181 64614 72966 76362 133771 139997 158093 267542 279994 316186 401313 419991 474279 802626 839982 948558 1082329 1471481 1739023 2164658 2942962 3246987 3478046 4414443 5217069 6493974 8828886 10434138 11905619 14070277 19129253 23811238 28140554 35716857 38258506 42210831 57387759 71433714 84421662 114775518 130961809 154773047 261923618 309546094 392885427 464319141 785770854 928638282 1702503517 3405007034 5107510551 10215021102