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103311232101 = 327111277116741
BaseRepresentation
bin110000000110111010…
…1000100110001100101
3100212122221022100202200
41200031311010301211
53143040133411401
6115243250125113
710315101661260
oct1401565046145
9325587270680
10103311232101
113a8a5551860
1218032880799
13998582538c
145000b21cd7
152a49caa686
hex180dd44c65

103311232101 has 48 divisors (see below), whose sum is σ = 186196952448. Its totient is φ = 53625686400.

The previous prime is 103311232093. The next prime is 103311232133. The reversal of 103311232101 is 101232113301.

103311232101 is a `hidden beast` number, since 1 + 0 + 331 + 1 + 232 + 101 = 666.

It is not a de Polignac number, because 103311232101 - 23 = 103311232093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311232001) 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, 826591 + ... + 943331.

It is an arithmetic number, because the mean of its divisors is an integer number (3879103176).

Almost surely, 2103311232101 is an apocalyptic number.

103311232101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103311232101 is a deficient number, since it is larger than the sum of its proper divisors (82885720347).

103311232101 is a wasteful number, since it uses less digits than its factorization.

103311232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118042 (or 118039 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103311232101 its reverse (101232113301), we get a palindrome (204543345402).

The spelling of 103311232101 in words is "one hundred three billion, three hundred eleven million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1277 3831 8939 11493 14047 26817 42141 80451 98329 116741 126423 294987 350223 817187 884961 1050669 1284151 2451561 3852453 7354683 8989057 11557359 26967171 80901513 149078257 447234771 1043547799 1341704313 1639860827 3130643397 4919582481 9391930191 11479025789 14758747443 34437077367 103311232101