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210456403157 = 711213175631997
BaseRepresentation
bin1100010000000000101…
…1011101110011010101
3202010020001212000001102
43010000023131303111
511422003314400112
6240403215035445
721130206624260
oct3040013356325
9663201760042
10210456403157
1181288175700
123495550bb85
1316acc738990
14a286acbcd7
15571b437bc2
hex31002ddcd5

210456403157 has 96 divisors (see below), whose sum is σ = 302145935616. Its totient is φ = 142148413440.

The previous prime is 210456403153. The next prime is 210456403169. The reversal of 210456403157 is 751304654012.

It is not a de Polignac number, because 210456403157 - 22 = 210456403153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210456403157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210456403153) 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 95 ways as a sum of consecutive naturals, for example, 105385283 + ... + 105387279.

It is an arithmetic number, because the mean of its divisors is an integer number (3147353496).

Almost surely, 2210456403157 is an apocalyptic number.

It is an amenable number.

210456403157 is a deficient number, since it is larger than the sum of its proper divisors (91689532459).

210456403157 is a wasteful number, since it uses less digits than its factorization.

210456403157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 210456403157 in words is "two hundred ten billion, four hundred fifty-six million, four hundred three thousand, one hundred fifty-seven".

Divisors: 1 7 11 13 17 77 91 119 121 143 187 221 563 847 1001 1309 1547 1573 1997 2057 2431 3941 6193 7319 9571 11011 13979 14399 17017 21967 25961 26741 33949 43351 51233 66997 68123 80509 105281 124423 153769 181727 187187 237643 241637 285571 373439 441337 476861 563563 736967 870961 885599 1124311 1158091 1368653 1691459 1998997 2614073 3089359 3141281 4107829 4854707 6199193 7870177 8106637 9580571 12367421 14616043 15055183 19113287 21988967 28754803 33982949 53401777 86571947 102312301 105386281 133793009 136041631 160776473 210246157 248472731 373812439 952291417 1125435311 1471723099 1739309117 1768541203 2312707727 2733200041 12379788421 16188954089 19132400287 30065200451 210456403157