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102111132123 = 327111311334347
BaseRepresentation
bin101111100011001001…
…1000011100111011011
3100202120022002222002100
41133012103003213123
53133110422211443
6114524215534443
710243260205440
oct1370623034733
9322508088070
10102111132123
113a33a0879a0
121795898a423
139823cc7550
144d295a79c7
1529c97503d3
hex17c64c39db

102111132123 has 48 divisors (see below), whose sum is σ = 198033728256. Its totient is φ = 48964374720.

The previous prime is 102111132119. The next prime is 102111132139. The reversal of 102111132123 is 321231111201.

It is not a de Polignac number, because 102111132123 - 22 = 102111132119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111132096 and 102111132105.

It is not an unprimeable number, because it can be changed into a prime (102111132103) 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, 5658165 + ... + 5676182.

It is an arithmetic number, because the mean of its divisors is an integer number (4125702672).

Almost surely, 2102111132123 is an apocalyptic number.

102111132123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102111132123 is a deficient number, since it is larger than the sum of its proper divisors (95922596133).

102111132123 is a wasteful number, since it uses less digits than its factorization.

102111132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334384 (or 11334381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102111132123 its reverse (321231111201), we get a palindrome (423342243324).

The spelling of 102111132123 in words is "one hundred two billion, one hundred eleven million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 11334347 34003041 79340429 102009123 124677817 147346511 238021287 374033451 442039533 714063861 872744719 1031425577 1122100353 1326118599 1620811621 2618234157 3094276731 4862434863 7854702471 9282830193 11345681347 14587304589 34037044041 102111132123