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151002045200 = 2452644958537
BaseRepresentation
bin1000110010100001101…
…1000101101100010000
3112102202120222200110202
42030220123011230100
54433223010421300
6153211441514332
713623654130556
oct2145033055420
9472676880422
10151002045200
1159048799586
12253223429a8
1311316054506
1474468b1bd6
153ddba66ad5
hex23286c5b10

151002045200 has 60 divisors (see below), whose sum is σ = 362844866100. Its totient is φ = 60390420480.

The previous prime is 151002045193. The next prime is 151002045247. The reversal of 151002045200 is 2540200151.

It can be written as a sum of positive squares in 6 ways, for example, as 1189698064 + 149812347136 = 34492^2 + 387056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2550332 + ... + 2608868.

It is an arithmetic number, because the mean of its divisors is an integer number (6047414435).

Almost surely, 2151002045200 is an apocalyptic number.

151002045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151002045200 is an abundant number, since it is smaller than the sum of its proper divisors (211842820900).

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

151002045200 is a wasteful number, since it uses less digits than its factorization.

151002045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65004 (or 64993 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 151002045200 its reverse (2540200151), we get a palindrome (153542245351).

The spelling of 151002045200 in words is "one hundred fifty-one billion, two million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6449 12898 25796 32245 51592 58537 64490 103184 117074 128980 161225 234148 257960 292685 322450 468296 515920 585370 644900 936592 1170740 1289800 1463425 2341480 2579600 2926850 4682960 5853700 11707400 23414800 377505113 755010226 1510020452 1887525565 3020040904 3775051130 6040081808 7550102260 9437627825 15100204520 18875255650 30200409040 37750511300 75501022600 151002045200