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150331430212000 = 2553275313651601
BaseRepresentation
bin100010001011100111000011…
…011111110001000110100000
3201201021112200211220000120121
4202023213003133301012200
5124201012232113241000
61251421150003450024
743444041661111132
oct4213470337610640
9651245624800517
10150331430212000
114399a224249a84
1214a3b2a3986914
1365b62681589ab
14291a119901052
15125a6eb078b1a
hex88b9c37f11a0

150331430212000 has 96 divisors (see below), whose sum is σ = 369498519031824. Its totient is φ = 60110725120000.

The previous prime is 150331430211983. The next prime is 150331430212031. The reversal of 150331430212000 is 212034133051.

It is a happy number.

150331430212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 58529660619024 + 91801769592976 = 7650468^2 + 9581324^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4186200 + ... + 17837800.

Almost surely, 2150331430212000 is an apocalyptic number.

150331430212000 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 150331430212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184749259515912).

150331430212000 is an abundant number, since it is smaller than the sum of its proper divisors (219167088819824).

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

150331430212000 is a wasteful number, since it uses less digits than its factorization.

150331430212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654379 (or 13654361 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 150331430212000 its reverse (212034133051), we get a palindrome (150543464345051).

The spelling of 150331430212000 in words is "one hundred fifty trillion, three hundred thirty-one billion, four hundred thirty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2753 4000 5506 11012 13765 22024 27530 44048 55060 68825 88096 110120 137650 220240 275300 344125 440480 550600 688250 1101200 1376500 2202400 2753000 5506000 11012000 13651601 27303202 54606404 68258005 109212808 136516010 218425616 273032020 341290025 436851232 546064040 682580050 1092128080 1365160100 1706450125 2184256160 2730320200 3412900250 5460640400 6825800500 10921280800 13651601000 27303202000 37582857553 54606404000 75165715106 150331430212 187914287765 300662860424 375828575530 601325720848 751657151060 939571438825 1202651441696 1503314302120 1879142877650 3006628604240 3758285755300 4697857194125 6013257208480 7516571510600 9395714388250 15033143021200 18791428776500 30066286042400 37582857553000 75165715106000 150331430212000