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150001374120 = 2335136110115607
BaseRepresentation
bin1000101110110011000…
…1110101001110101000
3112100011212001022210220
42023230301311032220
54424200322432440
6152524254010040
713560113433303
oct2135461651650
9470155038726
10150001374120
1158684957594
12250a31a6920
13111b6940a50
14738da2bb3a
153d7dca18d0
hex22ecc753a8

150001374120 has 256 divisors, whose sum is σ = 497473159680. Its totient is φ = 35956224000.

The previous prime is 150001374091. The next prime is 150001374137. The reversal of 150001374120 is 21473100051.

150001374120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9603357 + ... + 9618963.

It is an arithmetic number, because the mean of its divisors is an integer number (1943254530).

Almost surely, 2150001374120 is an apocalyptic number.

150001374120 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 150001374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248736579840).

150001374120 is an abundant number, since it is smaller than the sum of its proper divisors (347471785560).

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

150001374120 is a wasteful number, since it uses less digits than its factorization.

150001374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15796 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 150001374120 its reverse (21473100051), we get a palindrome (171474474171).

The spelling of 150001374120 in words is "one hundred fifty billion, one million, three hundred seventy-four thousand, one hundred twenty".