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230202010022013 = 32438836133109841
BaseRepresentation
bin110100010101111000010101…
…000010001011000001111101
31010012002002121212211012101200
4310111320111002023001331
5220133112204031201023
62133333202104330113
766326355256613361
oct6425702502130175
91105062555735350
10230202010022013
1167393140337917
122199a837473939
139b5ac58293223
1440bbb9ddd92a1
151b931389ce743
hexd15e1508b07d

230202010022013 has 48 divisors (see below), whose sum is σ = 340690871636544. Its totient is φ = 149703445624320.

The previous prime is 230202010021999. The next prime is 230202010022021. The reversal of 230202010022013 is 310220010202032.

230202010022013 is a `hidden beast` number, since 230 + 2 + 0 + 201 + 0 + 0 + 220 + 13 = 666.

It is not a de Polignac number, because 230202010022013 - 222 = 230202005827709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230202010022063) 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, 2095719973 + ... + 2095829813.

It is an arithmetic number, because the mean of its divisors is an integer number (7097726492428).

Almost surely, 2230202010022013 is an apocalyptic number.

It is an amenable number.

230202010022013 is a deficient number, since it is larger than the sum of its proper divisors (110488861614531).

230202010022013 is a wasteful number, since it uses less digits than its factorization.

230202010022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116906 (or 116903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230202010022013 its reverse (310220010202032), we get a palindrome (540422020224045).

The spelling of 230202010022013 in words is "two hundred thirty trillion, two hundred two billion, ten million, twenty-two thousand, thirteen".

Divisors: 1 3 9 43 129 387 883 2649 6133 7947 18399 37969 55197 109841 113907 263719 329523 341721 791157 988569 2373471 4723163 5415439 14169489 16246317 42508467 48738951 96989603 232863877 290968809 673654853 698591631 872906427 2020964559 2095774893 4170552929 6062893677 12511658787 28967158679 37534976361 86901476037 260704428111 594837235199 1784511705597 5353535116791 25578001113557 76734003340671 230202010022013