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151303121154 = 23319239961471
BaseRepresentation
bin1000110011101001011…
…1100110100100000010
3112110112120111221001000
42030322113212210002
54434332044334104
6153301354552430
713634301211203
oct2147227464402
9473476457030
10151303121154
1159192738389
12253a7138716
131136353ac73
1474748855aa
153e081d9639
hex233a5e6902

151303121154 has 64 divisors (see below), whose sum is σ = 354078720000. Its totient is φ = 47759239440.

The previous prime is 151303121147. The next prime is 151303121197. The reversal of 151303121154 is 451121303151.

151303121154 is a `hidden beast` number, since 1 + 513 + 0 + 31 + 2 + 115 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2430639 + ... + 2492109.

It is an arithmetic number, because the mean of its divisors is an integer number (5532480000).

Almost surely, 2151303121154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151303121154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177039360000).

151303121154 is an abundant number, since it is smaller than the sum of its proper divisors (202775598846).

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

151303121154 is a wasteful number, since it uses less digits than its factorization.

151303121154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63900 (or 63894 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 151303121154 in words is "one hundred fifty-one billion, three hundred three million, one hundred twenty-one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2399 4798 7197 14394 21591 43182 45581 61471 64773 91162 122942 129546 136743 184413 273486 368826 410229 553239 820458 1106478 1167949 1230687 1659717 2335898 2461374 3319434 3503847 7007694 10511541 21023082 31534623 63069246 147468929 294937858 442406787 884813574 1327220361 2654440722 2801909651 3981661083 5603819302 7963322166 8405728953 16811457906 25217186859 50434373718 75651560577 151303121154