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130114334112 = 25371910190659
BaseRepresentation
bin111100100101101101…
…0110010110110100000
3110102211220002000112120
41321023122302312200
54112433232142422
6135435041424240
712254232406650
oct1711332626640
9412756060476
10130114334112
11501aa171034
122127303b080
13c367796859
14642474c360
1535b7dea45c
hex1e4b6b2da0

130114334112 has 96 divisors (see below), whose sum is σ = 410887411200. Its totient is φ = 35218914048.

The previous prime is 130114334111. The next prime is 130114334117. The reversal of 130114334112 is 211433411031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130114334111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5082562 + ... + 5108097.

It is an arithmetic number, because the mean of its divisors is an integer number (4280077200).

Almost surely, 2130114334112 is an apocalyptic number.

130114334112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130114334112 is an abundant number, since it is smaller than the sum of its proper divisors (280773077088).

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

130114334112 is a wasteful number, since it uses less digits than its factorization.

130114334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190698 (or 10190690 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130114334112 its reverse (211433411031), we get a palindrome (341547745143).

The spelling of 130114334112 in words is "one hundred thirty billion, one hundred fourteen million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 10190659 20381318 30571977 40762636 61143954 71334613 81525272 122287908 142669226 163050544 193622521 214003839 244575816 285338452 326101088 387245042 428007678 489151632 570676904 580867563 774490084 856015356 978303264 1141353808 1161735126 1355357647 1548980168 1712030712 2282707616 2323470252 2710715294 3097960336 3424061424 4066072941 4646940504 5421430588 6195920672 6848122848 8132145882 9293881008 10842861176 16264291764 18587762016 21685722352 32528583528 43371444704 65057167056 130114334112