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151051122432 = 283472148663
BaseRepresentation
bin1000110010101101011…
…0010011011100000000
3112102220000100001210000
42030223112103130000
54433323041404212
6153220353440000
713625121233100
oct2145326233400
9472800301700
10151051122432
1159073469a81
1225336870000
13113232788b2
14744d209200
153de100d1dc
hex232b593700

151051122432 has 270 divisors, whose sum is σ = 523946495688. Its totient is φ = 43157173248.

The previous prime is 151051122427. The next prime is 151051122437. The reversal of 151051122432 is 234221150151.

It is a happy number.

151051122432 is a `hidden beast` number, since 1 + 5 + 105 + 1 + 122 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (151051122427) and next prime (151051122437).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 151051122396 and 151051122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151051122437) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 941733 + ... + 1090395.

Almost surely, 2151051122432 is an apocalyptic number.

151051122432 is a gapful number since it is divisible by the number (12) 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 151051122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261973247844).

151051122432 is an abundant number, since it is smaller than the sum of its proper divisors (372895373256).

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

151051122432 is an equidigital number, since it uses as much as digits as its factorization.

151051122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148705 (or 148675 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151051122432 its reverse (234221150151), we get a palindrome (385272272583).

The spelling of 151051122432 in words is "one hundred fifty-one billion, fifty-one million, one hundred twenty-two thousand, four hundred thirty-two".