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123108380892 = 2232719239107581
BaseRepresentation
bin111001010100111010…
…1001101000011011100
3102202202122010201110200
41302221311031003130
54004111221142032
6132315531503500
711615511654240
oct1625165150334
9382678121420
10123108380892
1148234520752
121ba388b7b90
13b7bc187cc3
145d5c0c2420
153307d0747c
hex1ca9d4d0dc

123108380892 has 144 divisors (see below), whose sum is σ = 375934540800. Its totient is φ = 33182835840.

The previous prime is 123108380881. The next prime is 123108380903. The reversal of 123108380892 is 298083801321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123108380881) and next prime (123108380903).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1090542 + ... + 1198122.

Almost surely, 2123108380892 is an apocalyptic number.

123108380892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123108380892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187967270400).

123108380892 is an abundant number, since it is smaller than the sum of its proper divisors (252826159908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123108380892 is a wasteful number, since it uses less digits than its factorization.

123108380892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107856 (or 107851 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 123108380892 in words is "one hundred twenty-three billion, one hundred eight million, three hundred eighty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 239 252 266 342 399 478 532 684 717 798 956 1197 1434 1596 1673 2151 2394 2868 3346 4302 4541 4788 5019 6692 8604 9082 10038 13623 15057 18164 20076 27246 30114 31787 40869 54492 60228 63574 81738 95361 107581 127148 163476 190722 215162 286083 322743 381444 430324 572166 645486 753067 968229 1144332 1290972 1506134 1936458 2044039 2259201 3012268 3872916 4088078 4518402 6132117 6777603 8176156 9036804 12264234 13555206 14308273 18396351 24528468 25711859 27110412 28616546 36792702 42924819 51423718 57233092 73585404 77135577 85849638 102847436 128774457 154271154 171699276 179983013 231406731 257548914 308542308 359966026 462813462 488525321 515097828 539949039 719932052 925626924 977050642 1079898078 1465575963 1619847117 1954101284 2159796156 2931151926 3239694234 3419677247 4396727889 5862303852 6479388468 6839354494 8793455778 10259031741 13678708988 17586911556 20518063482 30777095223 41036126964 61554190446 123108380892