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30122131312320 = 2635131947994957
BaseRepresentation
bin1101101100101010110101…
…11011111100111011000000
310221122122111010022020211220
412312111122323330323000
512422010111103443240
6144021525513035040
76226152331411155
oct666253273747300
9127578433266756
1030122131312320
1196637a6930713
123465a549b5a80
1313a6674058868
14761cc17b022c
1537382be2e5d0
hex1b655aefcec0

30122131312320 has 224 divisors, whose sum is σ = 95749530624000. Its totient is φ = 8023187042304.

The previous prime is 30122131312309. The next prime is 30122131312363. The reversal of 30122131312320 is 2321313122103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6076683282 + ... + 6076688238.

Almost surely, 230122131312320 is an apocalyptic number.

30122131312320 is a gapful number since it is divisible by the number (30) 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 30122131312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47874765312000).

30122131312320 is an abundant number, since it is smaller than the sum of its proper divisors (65627399311680).

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

30122131312320 is a wasteful number, since it uses less digits than its factorization.

30122131312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11085 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 30122131312320 its reverse (2321313122103), we get a palindrome (32443444434423).

The spelling of 30122131312320 in words is "thirty trillion, one hundred twenty-two billion, one hundred thirty-one million, three hundred twelve thousand, three hundred twenty".