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10132023213 = 331359489257
BaseRepresentation
bin10010110111110101…
…00110011110101101
3222011010012002221000
421123322212132231
5131222244220323
64353220230513
7506036530164
oct113372463655
928133162830
1010132023213
11432a299004
121b6923b439
13c56163b10
146c18cc3db
153e478ae43
hex25bea67ad

10132023213 has 32 divisors (see below), whose sum is σ = 16439068800. Its totient is φ = 6129399168.

The previous prime is 10132023211. The next prime is 10132023233. The reversal of 10132023213 is 31232023101.

10132023213 is a `hidden beast` number, since 101 + 320 + 232 + 13 = 666.

It is not a de Polignac number, because 10132023213 - 21 = 10132023211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132023211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223920 + ... + 265337.

It is an arithmetic number, because the mean of its divisors is an integer number (513720900).

Almost surely, 210132023213 is an apocalyptic number.

10132023213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132023213 is a deficient number, since it is larger than the sum of its proper divisors (6307045587).

10132023213 is a wasteful number, since it uses less digits than its factorization.

10132023213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489338 (or 489332 counting only the distinct ones).

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

Adding to 10132023213 its reverse (31232023101), we get a palindrome (41364046314).

The spelling of 10132023213 in words is "ten billion, one hundred thirty-two million, twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 59 117 177 351 531 767 1593 2301 6903 20709 489257 1467771 4403313 6360341 13209939 19081023 28866163 57243069 86598489 171729207 259795467 375260119 779386401 1125780357 3377341071 10132023213