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114315112202202 = 2333179437707647
BaseRepresentation
bin11001111111100000001111…
…101001111011111111011010
3112222202102021201102220222000
4121333200033221323333122
5104440414322210432302
61043043345413541430
733035665022201022
oct3177401751737732
9488672251386860
10114315112202202
113347384871626a
12109a304b944876
134ba2b3aa6b372
142032c49492a82
15d338e995631c
hex67f80fa7bfda

114315112202202 has 64 divisors (see below), whose sum is σ = 254862314403840. Its totient is φ = 37980753467328.

The previous prime is 114315112202131. The next prime is 114315112202209. The reversal of 114315112202202 is 202202211513411.

114315112202202 is a `hidden beast` number, since 1 + 1 + 4 + 315 + 1 + 122 + 0 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114315112202209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161188743 + ... + 161896389.

It is an arithmetic number, because the mean of its divisors is an integer number (3982223662560).

Almost surely, 2114315112202202 is an apocalyptic number.

114315112202202 is an abundant number, since it is smaller than the sum of its proper divisors (140547202201638).

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

114315112202202 is a wasteful number, since it uses less digits than its factorization.

114315112202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717412 (or 717406 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114315112202202 its reverse (202202211513411), we get a palindrome (316517323715613).

The spelling of 114315112202202 in words is "one hundred fourteen trillion, three hundred fifteen billion, one hundred twelve million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 317 634 951 1902 2853 5706 8559 9437 17118 18874 28311 56622 84933 169866 254799 509598 707647 1415294 2122941 2991529 4245882 5983058 6368823 8974587 12737646 17949174 19106469 26923761 38212938 53847522 80771283 161542566 224324099 448648198 672972297 1345944594 2018916891 4037833782 6056750673 6678064739 12113501346 13356129478 20034194217 40068388434 60102582651 120205165302 180307747953 360615495906 2116946522263 4233893044526 6350839566789 12701679133578 19052518700367 38105037400734 57157556101101 114315112202202