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151225321128 = 233747191197509
BaseRepresentation
bin1000110011010110111…
…0110100011010101000
3112110100011010021110120
42030311232310122220
54434202140234003
6153245535243240
713632335010030
oct2146556643250
9473304107416
10151225321128
115915282a042
1225385079520
131135039b04b
1474683d28c0
153e0146c853
hex2335bb46a8

151225321128 has 256 divisors, whose sum is σ = 446703206400. Its totient is φ = 41770767360.

The previous prime is 151225321021. The next prime is 151225321139. The reversal of 151225321128 is 821123522151.

151225321128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3888772-1.

151225321128 is a Rhonda number in base 10.

Its product of digits (9600) is a multiple of the sum of its prime factors (960).

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, 297102538 + ... + 297103046.

It is an arithmetic number, because the mean of its divisors is an integer number (1744934400).

Almost surely, 2151225321128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151225321128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223351603200).

151225321128 is an abundant number, since it is smaller than the sum of its proper divisors (295477885272).

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

151225321128 is a wasteful number, since it uses less digits than its factorization.

151225321128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

Adding to 151225321128 its reverse (821123522151), we get a palindrome (972348843279).

The spelling of 151225321128 in words is "one hundred fifty-one billion, two hundred twenty-five million, three hundred twenty-one thousand, one hundred twenty-eight".