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10133131032123 = 31121911117130843
BaseRepresentation
bin1001001101110100110110…
…1011001111011000111011
31022212201101022202102001220
42103131031223033120323
52312010123021011443
633315032433043123
72064044301424221
oct223351553173073
938781338672056
1010133131032123
11325748932aa00
121177a510b64a3
1358671c901a88
1427063638cb11
151288bcacea83
hex9374dacf63b

10133131032123 has 48 divisors (see below), whose sum is σ = 14941991221248. Its totient is φ = 6103622289600.

The previous prime is 10133131032019. The next prime is 10133131032127. The reversal of 10133131032123 is 32123013133101.

It is not a de Polignac number, because 10133131032123 - 240 = 9033619404347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133131032093 and 10133131032102.

It is not an unprimeable number, because it can be changed into a prime (10133131032127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77379540 + ... + 77510382.

It is an arithmetic number, because the mean of its divisors is an integer number (311291483776).

Almost surely, 210133131032123 is an apocalyptic number.

10133131032123 is a deficient number, since it is larger than the sum of its proper divisors (4808860189125).

10133131032123 is a wasteful number, since it uses less digits than its factorization.

10133131032123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132176 (or 132165 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10133131032123 its reverse (32123013133101), we get a palindrome (42256144165224).

The spelling of 10133131032123 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-one million, thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 11 33 121 191 363 573 1117 2101 3351 6303 12287 23111 36861 69333 130843 135157 213347 392529 405471 640041 1439273 2346817 4317819 7040451 15832003 24991013 25814987 47496009 74973039 77444961 146151631 274901143 438454893 824703429 1607667941 3023912573 4823003823 9071737719 17684347351 27914961521 53053042053 83744884563 307064576731 921193730193 3377710344041 10133131032123