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151300374312 = 233234143115511
BaseRepresentation
bin1000110011101000110…
…1000111111100101000
3112110112101100101002010
42030322031013330220
54434330343434222
6153301220035520
713634235651003
oct2147215077450
9473471311063
10151300374312
115919113166a
12253a6232ba0
1311362ab8909
14747436c53a
153e07d4580c
hex233a347f28

151300374312 has 128 divisors (see below), whose sum is σ = 405287608320. Its totient is φ = 46951872000.

The previous prime is 151300374241. The next prime is 151300374317. The reversal of 151300374312 is 213473003151.

151300374312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 151300374312.

It is not an unprimeable number, because it can be changed into a prime (151300374317) 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 31 ways as a sum of consecutive naturals, for example, 9746637 + ... + 9762147.

It is an arithmetic number, because the mean of its divisors is an integer number (3166309440).

Almost surely, 2151300374312 is an apocalyptic number.

151300374312 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 151300374312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202643804160).

151300374312 is an abundant number, since it is smaller than the sum of its proper divisors (253987234008).

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

151300374312 is a wasteful number, since it uses less digits than its factorization.

151300374312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16015 (or 16011 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 151300374312 its reverse (213473003151), we get a palindrome (364773377463).

The spelling of 151300374312 in words is "one hundred fifty-one billion, three hundred million, three hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 431 492 552 862 943 984 1293 1724 1886 2586 2829 3448 3772 5172 5658 7544 9913 10344 11316 15511 17671 19826 22632 29739 31022 35342 39652 46533 53013 59478 62044 70684 79304 93066 106026 118956 124088 141368 186132 212052 237912 356753 372264 406433 424104 635951 713506 812866 1070259 1219299 1271902 1427012 1625732 1907853 2140518 2438598 2543804 2854024 3251464 3815706 4281036 4877196 5087608 6685241 7631412 8562072 9754392 13370482 14626873 15262824 20055723 26740964 29253746 40111446 43880619 53481928 58507492 80222892 87761238 117014984 153760543 160445784 175522476 274094881 307521086 351044952 461281629 548189762 615042172 822284643 922563258 1096379524 1230084344 1644569286 1845126516 2192759048 3289138572 3690253032 6304182263 6578277144 12608364526 18912546789 25216729052 37825093578 50433458104 75650187156 151300374312