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114123120132 = 22372316260869
BaseRepresentation
bin110101001001001000…
…1001001111000000100
3101220120102210011220010
41222102101021320010
53332211004321012
6124232154310220
711150035341600
oct1522221117004
9356512704803
10114123120132
114444358730a
121a14b728370
13a9b9798768
145748a26500
152e7e08cc3c
hex1a92449e04

114123120132 has 72 divisors (see below), whose sum is σ = 319755152640. Its totient is φ = 31554774720.

The previous prime is 114123120127. The next prime is 114123120151. The reversal of 114123120132 is 231021321411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 114123120099 and 114123120108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3112207 + ... + 3148662.

Almost surely, 2114123120132 is an apocalyptic number.

114123120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114123120132 is an abundant number, since it is smaller than the sum of its proper divisors (205632032508).

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

114123120132 is a wasteful number, since it uses less digits than its factorization.

114123120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260921 (or 6260912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114123120132 its reverse (231021321411), we get a palindrome (345144441543).

The spelling of 114123120132 in words is "one hundred fourteen billion, one hundred twenty-three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2604 3038 4557 6076 9114 18228 6260869 12521738 18782607 25043476 37565214 43826083 75130428 87652166 131478249 175304332 194086939 262956498 306782581 388173878 525912996 582260817 613565162 776347756 920347743 1164521634 1227130324 1358608573 1840695486 2329043268 2717217146 3681390972 4075825719 5434434292 8151651438 9510260011 16303302876 19020520022 28530780033 38041040044 57061560066 114123120132