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13321200123 = 3272112318053
BaseRepresentation
bin11000110100000000…
…10110000111111011
31021101101012002012100
430122000112013323
5204240211400443
610041503314443
7651053222100
oct143200260773
937341162170
1013321200123
115716519900
1226b92aba23
131343ab324a
1490529aaa7
1552e74c3d3
hex31a0161fb

13321200123 has 108 divisors (see below), whose sum is σ = 25399867584. Its totient is φ = 6696043200.

The previous prime is 13321200091. The next prime is 13321200163. The reversal of 13321200123 is 32100212331.

It is not a de Polignac number, because 13321200123 - 25 = 13321200091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13321200096 and 13321200105.

It is not an unprimeable number, because it can be changed into a prime (13321200163) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1650165 + ... + 1658217.

Almost surely, 213321200123 is an apocalyptic number.

13321200123 is a deficient number, since it is larger than the sum of its proper divisors (12078667461).

13321200123 is a wasteful number, since it uses less digits than its factorization.

13321200123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13321200123 its reverse (32100212331), we get a palindrome (45421412454).

It can be divided in two parts, 13321 and 200123, that added together give a square (213444 = 4622).

The spelling of 13321200123 in words is "thirteen billion, three hundred twenty-one million, two hundred thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 31 33 49 63 77 93 99 121 147 217 231 279 341 363 441 539 651 693 847 1023 1089 1519 1617 1953 2387 2541 3069 3751 4557 4851 5929 7161 7623 8053 11253 13671 16709 17787 21483 24159 26257 33759 50127 53361 56371 72477 78771 88583 150381 169113 183799 236313 249643 265749 394597 507339 551397 620081 748929 797247 974413 1183791 1654191 1747501 1860243 2246787 2746073 2923239 3551373 4340567 5242503 5580729 6820891 8238219 8769717 12232507 13021701 15727509 19222511 20462673 24714657 30206803 36697521 39065103 47746237 57667533 61388019 90620409 110092563 134557577 143238711 173002599 211447621 271861227 403672731 429716133 634342863 1211018193 1480133347 1903028589 4440400041 13321200123