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232101011129 = 1319249456853
BaseRepresentation
bin1101100000101001001…
…1000101111010111001
3211012002112000000022112
43120022103011322321
512300320324324004
6254343054102105
722524452020511
oct3301223057271
9735075000275
10232101011129
118a484a73a69
1238b961aa935
1318b6ba67410
14b33b59a841
156086764e6e
hex360a4c5eb9

232101011129 has 12 divisors (see below), whose sum is σ = 263802859236. Its totient is φ = 202970920608.

The previous prime is 232101011117. The next prime is 232101011141. The reversal of 232101011129 is 921110101232.

232101011129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232101011117) and next prime (232101011141).

It can be written as a sum of positive squares in 2 ways, for example, as 130115311225 + 101985699904 = 360715^2 + 319352^2 .

It is a de Polignac number, because none of the positive numbers 2k-232101011129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232101016129) 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 11 ways as a sum of consecutive naturals, for example, 24723734 + ... + 24733119.

It is an arithmetic number, because the mean of its divisors is an integer number (21983571603).

Almost surely, 2232101011129 is an apocalyptic number.

It is an amenable number.

232101011129 is a deficient number, since it is larger than the sum of its proper divisors (31701848107).

232101011129 is a wasteful number, since it uses less digits than its factorization.

232101011129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49456904 (or 49456885 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 232101011129 in words is "two hundred thirty-two billion, one hundred one million, eleven thousand, one hundred twenty-nine".

Divisors: 1 13 19 247 361 4693 49456853 642939089 939680207 12215842691 17853923933 232101011129