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151040100 = 22352796373
BaseRepresentation
bin10010000000010…
…11000001100100
3101112012122001210
421000023001210
5302131240400
622553151420
73512551101
oct1100130144
9345178053
10151040100
1178292732
12426bb570
13253a4453
14160b9aa8
15d3d7950
hex900b064

151040100 has 72 divisors (see below), whose sum is σ = 442610560. Its totient is φ = 39761280.

The previous prime is 151040081. The next prime is 151040107. The reversal of 151040100 is 1040151.

It is a happy number.

It is a super-2 number, since 2×1510401002 = 45626223616020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (151040107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20514 + ... + 26886.

Almost surely, 2151040100 is an apocalyptic number.

151040100 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 151040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221305280).

151040100 is an abundant number, since it is smaller than the sum of its proper divisors (291570460).

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

151040100 is a wasteful number, since it uses less digits than its factorization.

151040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 151040100 is about 12289.8372649926. The cubic root of 151040100 is about 532.5545360619.

Adding to 151040100 its reverse (1040151), we get a palindrome (152080251).

The spelling of 151040100 in words is "one hundred fifty-one million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 6373 7900 11850 12746 19119 23700 25492 31865 38238 63730 76476 95595 127460 159325 191190 318650 382380 477975 503467 637300 955950 1006934 1510401 1911900 2013868 2517335 3020802 5034670 6041604 7552005 10069340 12586675 15104010 25173350 30208020 37760025 50346700 75520050 151040100