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151001210120 = 23529130173457
BaseRepresentation
bin1000110010100001011…
…1111001110100001000
3112102202112102020221212
42030220113321310020
54433222302210440
6153211411552252
713623644052125
oct2145027716410
9472675366855
10151001210120
1159048279132
1225321bbb688
1311315b21397
14744673574c
153ddb94e465
hex23285f9d08

151001210120 has 32 divisors (see below), whose sum is σ = 351468336600. Its totient is φ = 58317708288.

The previous prime is 151001210081. The next prime is 151001210137. The reversal of 151001210120 is 21012100151.

It can be written as a sum of positive squares in 4 ways, for example, as 91374407524 + 59626802596 = 302282^2 + 244186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151001210095 and 151001210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65085569 + ... + 65087888.

Almost surely, 2151001210120 is an apocalyptic number.

151001210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151001210120 is an abundant number, since it is smaller than the sum of its proper divisors (200467126480).

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

151001210120 is a wasteful number, since it uses less digits than its factorization.

151001210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130173497 (or 130173493 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 151001210120 its reverse (21012100151), we get a palindrome (172013310271).

The spelling of 151001210120 in words is "one hundred fifty-one billion, one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 130173457 260346914 520693828 650867285 1041387656 1301734570 2603469140 3775030253 5206938280 7550060506 15100121012 18875151265 30200242024 37750302530 75500605060 151001210120