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151300100 = 22527331653
BaseRepresentation
bin10010000010010…
…10100000000100
3101112200211201102
421001022200010
5302213100400
623002515232
73515013110
oct1101124004
9345624642
10151300100
1178450006
1242805b18
13254658b3
1416146740
15d4399d5
hex904a804

151300100 has 72 divisors (see below), whose sum is σ = 376934208. Its totient is φ = 51638400.

The previous prime is 151300081. The next prime is 151300117. The reversal of 151300100 is 1003151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231374 + ... + 232026.

Almost surely, 2151300100 is an apocalyptic number.

151300100 is a gapful number since it is divisible by the number (10) 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 151300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188467104).

151300100 is an abundant number, since it is smaller than the sum of its proper divisors (225634108).

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

151300100 is a wasteful number, since it uses less digits than its factorization.

151300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 151300100 is about 12300.4105622536. The cubic root of 151300100 is about 532.8599401779.

Adding to 151300100 its reverse (1003151), we get a palindrome (152303251).

The spelling of 151300100 in words is "one hundred fifty-one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 331 350 653 662 700 1306 1324 1655 2317 2612 3265 3310 4571 4634 6530 6620 8275 9142 9268 11585 13060 16325 16550 18284 22855 23170 32650 33100 45710 46340 57925 65300 91420 114275 115850 216143 228550 231700 432286 457100 864572 1080715 1513001 2161430 3026002 4322860 5403575 6052004 7565005 10807150 15130010 21614300 30260020 37825025 75650050 151300100