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151142111120 = 245721113793413
BaseRepresentation
bin1000110011000011000…
…1011001011110010000
3112110010100112202210102
42030300301121132100
54434014340023440
6153233403551532
713630304514200
oct2146061313620
9473110482712
10151142111120
115910a866140
122536122b5a8
1311339085860
14745b332400
153de8ed2b15
hex2330c59790

151142111120 has 480 divisors, whose sum is σ = 486463864320. Its totient is φ = 42922414080.

The previous prime is 151142111119. The next prime is 151142111143. The reversal of 151142111120 is 21111241151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 151142111092 and 151142111101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44282534 + ... + 44285946.

It is an arithmetic number, because the mean of its divisors is an integer number (1013466384).

Almost surely, 2151142111120 is an apocalyptic number.

151142111120 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 151142111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243231932160).

151142111120 is an abundant number, since it is smaller than the sum of its proper divisors (335321753200).

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

151142111120 is a wasteful number, since it uses less digits than its factorization.

151142111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 20.

Adding to 151142111120 its reverse (21111241151), we get a palindrome (172253352271).

It can be divided in two parts, 151142 and 111120, that added together give a palindrome (262262).

The spelling of 151142111120 in words is "one hundred fifty-one billion, one hundred forty-two million, one hundred eleven thousand, one hundred twenty".