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3030131132028 = 22337111327130367
BaseRepresentation
bin101100000110000001111…
…000111100011001111100
3101201200022001022101011000
4230012001320330121330
5344121202032211103
610240004550130300
7431630321440050
oct54060170743174
911650261271130
103030131132028
11a69087035190
1240b314950990
1318c981118b00
14a6932917c60
1553c49b21aa3
hex2c181e3c67c

3030131132028 has 576 divisors, whose sum is σ = 10755461283840. Its totient is φ = 716248915200.

The previous prime is 3030131132027. The next prime is 3030131132051. The reversal of 3030131132028 is 8202311310303.

3030131132028 is a `hidden beast` number, since 3 + 0 + 3 + 0 + 1 + 311 + 320 + 28 = 666.

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 = 3030131131992 and 3030131132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030131132027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99768501 + ... + 99798867.

It is an arithmetic number, because the mean of its divisors is an integer number (18672675840).

Almost surely, 23030131132028 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 3030131132028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377730641920).

3030131132028 is an abundant number, since it is smaller than the sum of its proper divisors (7725330151812).

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

3030131132028 is a wasteful number, since it uses less digits than its factorization.

3030131132028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30495 (or 30474 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 3030131132028 in words is "three trillion, thirty billion, one hundred thirty-one million, one hundred thirty-two thousand, twenty-eight".