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111642204051 = 32731673532417
BaseRepresentation
bin110011111111001100…
…1001101011110010011
3101200011112111120211100
41213332121031132103
53312120401012201
6123142051515443
711031412035240
oct1477631153623
9350145446740
10111642204051
1143390128344
12197788b8b83
13a6b27bb791
1455913425c7
152d86381886
hex19fe64d793

111642204051 has 96 divisors (see below), whose sum is σ = 193709887488. Its totient is φ = 60618792960.

The previous prime is 111642204049. The next prime is 111642204077. The reversal of 111642204051 is 150402246111.

111642204051 is a `hidden beast` number, since 1 + 11 + 642 + 2 + 0 + 4 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 111642204051 - 21 = 111642204049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111642200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46189195 + ... + 46191611.

It is an arithmetic number, because the mean of its divisors is an integer number (2017811328).

Almost surely, 2111642204051 is an apocalyptic number.

111642204051 is a deficient number, since it is larger than the sum of its proper divisors (82067683437).

111642204051 is a wasteful number, since it uses less digits than its factorization.

111642204051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2878 counting only the distinct ones).

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

The spelling of 111642204051 in words is "one hundred eleven billion, six hundred forty-two million, two hundred four thousand, fifty-one".

Divisors: 1 3 7 9 21 31 63 67 93 201 217 279 353 469 603 651 1059 1407 1953 2077 2417 2471 3177 4221 6231 7251 7413 10943 14539 16919 18693 21753 22239 23651 32829 43617 50757 70953 74927 76601 98487 130851 152271 161939 165557 212859 224781 229803 485817 496671 524489 674343 689409 733181 853201 1133573 1457451 1490013 1573467 2199543 2559603 3400719 4720401 5020109 5132267 5972407 6598629 7678809 10202157 15060327 15396801 17917221 26449231 35140763 45180981 46190403 53751663 57164467 79347693 105422289 171493401 185144617 238043079 316266867 400151269 514480203 555433851 1200453807 1666301553 1772098477 3601361421 5316295431 12404689339 15948886293 37214068017 111642204051