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114002130132 = 223311349274961
BaseRepresentation
bin110101000101100001…
…1100111010011010100
3101220021000010020211000
41222023003213103110
53331434021131012
6124212153143300
711144036055222
oct1521303472324
9356230106730
10114002130132
1144391259780
121a1170bab30
13a99a6b6047
14573692db12
152e7363dddc
hex1a8b0e74d4

114002130132 has 96 divisors (see below), whose sum is σ = 323355312000. Its totient is φ = 34446988800.

The previous prime is 114002130113. The next prime is 114002130197. The reversal of 114002130132 is 231031200411.

114002130132 is a `hidden beast` number, since 1 + 1 + 400 + 2 + 130 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277132 + ... + 552092.

It is an arithmetic number, because the mean of its divisors is an integer number (3368284500).

Almost surely, 2114002130132 is an apocalyptic number.

114002130132 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 114002130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161677656000).

114002130132 is an abundant number, since it is smaller than the sum of its proper divisors (209353181868).

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

114002130132 is a wasteful number, since it uses less digits than its factorization.

114002130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275334 (or 275326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114002130132 its reverse (231031200411), we get a palindrome (345033330543).

The spelling of 114002130132 in words is "one hundred fourteen billion, two million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 349 396 594 698 1047 1188 1396 2094 3141 3839 4188 6282 7678 9423 11517 12564 15356 18846 23034 34551 37692 46068 69102 103653 138204 207306 274961 414612 549922 824883 1099844 1649766 2474649 3024571 3299532 4949298 6049142 7423947 9073713 9898596 12098284 14847894 18147426 27221139 29695788 36294852 54442278 81663417 95961389 108884556 163326834 191922778 287884167 326653668 383845556 575768334 863652501 1055575279 1151536668 1727305002 2111150558 2590957503 3166725837 3454610004 4222301116 5181915006 6333451674 9500177511 10363830012 12666903348 19000355022 28500532533 38000710044 57001065066 114002130132