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217131113011152 = 243167180115040097
BaseRepresentation
bin110001010111101011000110…
…110111000101011111010000
31001110210112100121002100200010
4301113223012313011133100
5211424434004412324102
62045444353430554520
763510130252313214
oct6127530667053720
91043715317070603
10217131113011152
116320387377556a
122042956a508a40
1394204b73a2512
143b892b81bc944
151a1812a0ead6c
hexc57ac6dc57d0

217131113011152 has 80 divisors (see below), whose sum is σ = 564594209407872. Its totient is φ = 71903690956800.

The previous prime is 217131113011093. The next prime is 217131113011159. The reversal of 217131113011152 is 251110311131712.

It is a super-2 number, since 2×2171311130111522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217131113011159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6916768 + ... + 21956864.

Almost surely, 2217131113011152 is an apocalyptic number.

It is an amenable number.

217131113011152 is an abundant number, since it is smaller than the sum of its proper divisors (347463096396720).

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

217131113011152 is a wasteful number, since it uses less digits than its factorization.

217131113011152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15042076 (or 15042070 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 30.

Adding to 217131113011152 its reverse (251110311131712), we get a palindrome (468241424142864).

The spelling of 217131113011152 in words is "two hundred seventeen trillion, one hundred thirty-one billion, one hundred thirteen million, eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 1801 2004 2672 3602 4008 5403 7204 8016 10806 14408 21612 28816 43224 86448 300767 601534 902301 1203068 1804602 2406136 3609204 4812272 7218408 14436816 15040097 30080194 45120291 60160388 90240582 120320776 180481164 240641552 360962328 721924656 2511696199 5023392398 7535088597 10046784796 15070177194 20093569592 27087214697 30140354388 40187139184 54174429394 60280708776 81261644091 108348858788 120561417552 162523288182 216697717576 325046576364 433395435152 650093152728 1300186305456 4523564854399 9047129708798 13570694563197 18094259417596 27141389126394 36188518835192 54282778252788 72377037670384 108565556505576 217131113011152