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30320031104 = 2711181118973
BaseRepresentation
bin11100001111001101…
…101111010110000000
32220021001111011111222
4130033031233112000
5444043411443404
621532343254212
72122234004066
oct341715572600
986231434458
1030320031104
111194995a150
125a6214a368
132b2278750c
141678b54036
15bc6c92dbe
hex70f36f580

30320031104 has 64 divisors (see below), whose sum is σ = 66259000080. Its totient is φ = 13705574400.

The previous prime is 30320031101. The next prime is 30320031169. The reversal of 30320031104 is 40113002303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×303200311042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320031101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195362 + ... + 314334.

Almost surely, 230320031104 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 30320031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129500040).

30320031104 is an abundant number, since it is smaller than the sum of its proper divisors (35938968976).

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

30320031104 is a wasteful number, since it uses less digits than its factorization.

30320031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119179 (or 119167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30320031104 its reverse (40113002303), we get a palindrome (70433033407).

The spelling of 30320031104 in words is "thirty billion, three hundred twenty million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 352 362 704 724 1408 1448 1991 2896 3982 5792 7964 11584 15928 23168 31856 63712 118973 127424 237946 254848 475892 951784 1308703 1903568 2617406 3807136 5234812 7614272 10469624 15228544 20939248 21534113 41878496 43068226 83756992 86136452 167513984 172272904 236875243 344545808 473750486 689091616 947500972 1378183232 1895001944 2756366464 3790003888 7580007776 15160015552 30320031104