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12023105193 = 32113137113937
BaseRepresentation
bin10110011001010001…
…00000011010101001
31011000220121000201100
423030220200122221
5144110403331233
65305012512013
7603641464551
oct131450403251
934026530640
1012023105193
11510a802980
1223b661b609
131197b94438
14820b14161
154a57d6813
hex2cca206a9

12023105193 has 96 divisors (see below), whose sum is σ = 20284572672. Its totient is φ = 6793113600.

The previous prime is 12023105161. The next prime is 12023105201. The reversal of 12023105193 is 39150132021.

12023105193 is a `hidden beast` number, since 120 + 23 + 1 + 0 + 519 + 3 = 666.

It is not a de Polignac number, because 12023105193 - 25 = 12023105161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12023105093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12831021 + ... + 12831957.

It is an arithmetic number, because the mean of its divisors is an integer number (211297632).

Almost surely, 212023105193 is an apocalyptic number.

It is an amenable number.

12023105193 is a deficient number, since it is larger than the sum of its proper divisors (8261467479).

12023105193 is a wasteful number, since it uses less digits than its factorization.

12023105193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 12023105193 in words is "twelve billion, twenty-three million, one hundred five thousand, one hundred ninety-three".

Divisors: 1 3 9 11 31 33 37 93 99 111 113 279 333 339 341 407 937 1017 1023 1147 1221 1243 2811 3069 3441 3503 3663 3729 4181 8433 10307 10323 10509 11187 12543 12617 29047 30921 31527 34669 37629 37851 38533 45991 87141 92763 104007 105881 113553 115599 129611 137973 261423 312021 317643 319517 346797 381359 388833 413919 952929 958551 1074739 1144077 1164691 1166499 1425721 2875653 3224217 3282311 3432231 3494073 3917597 4277163 9672651 9846933 10482219 11752791 11822129 12831489 29540799 35258373 35466387 36105421 43093567 106399161 108316263 121445507 129280701 324948789 364336521 387842103 1093009563 1335900577 4007701731 12023105193