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12101011197 = 3112151277797
BaseRepresentation
bin10110100010100011…
…01100011011111101
31011020100012001122220
423101101230123331
5144240324324242
65320434355553
7605605620012
oct132121543375
934210161586
1012101011197
11514a783900
12241872bbb9
1311ab070672
1482b1d3709
154ac574bec
hex2d146c6fd

12101011197 has 48 divisors (see below), whose sum is σ = 17939193216. Its totient is φ = 7249968000.

The previous prime is 12101011193. The next prime is 12101011199. The reversal of 12101011197 is 79111010121.

It is not a de Polignac number, because 12101011197 - 22 = 12101011193 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101011193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15182803 + ... + 15183599.

It is an arithmetic number, because the mean of its divisors is an integer number (373733192).

Almost surely, 212101011197 is an apocalyptic number.

It is an amenable number.

12101011197 is a deficient number, since it is larger than the sum of its proper divisors (5838182019).

12101011197 is a wasteful number, since it uses less digits than its factorization.

12101011197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 24.

The spelling of 12101011197 in words is "twelve billion, one hundred one million, eleven thousand, one hundred ninety-seven".

Divisors: 1 3 11 33 121 151 277 363 453 797 831 1661 2391 3047 4983 8767 9141 18271 26301 33517 41827 54813 96437 100551 120347 125481 220769 289311 361041 460097 662307 1323817 1380291 2428459 3971451 5061067 7285377 14561987 15183201 26713049 33336119 43685961 80139147 100008357 366697309 1100091927 4033670399 12101011197