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20310606112 = 2517298291553
BaseRepresentation
bin10010111010100110…
…110100000100100000
31221102110222200201211
4102322212310010200
5313044003343422
613155222435504
71316213206036
oct227246640440
957373880654
1020310606112
118682897a95
123b29b92b94
131bb8b4a134
14da965a556
157dd172577
hex4ba9b4120

20310606112 has 96 divisors (see below), whose sum is σ = 43879676400. Its totient is φ = 9211281408.

The previous prime is 20310606109. The next prime is 20310606119. The reversal of 20310606112 is 21160601302.

It can be written as a sum of positive squares in 8 ways, for example, as 9493774096 + 10816832016 = 97436^2 + 104004^2 .

It is not an unprimeable number, because it can be changed into a prime (20310606119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13077528 + ... + 13079080.

Almost surely, 220310606112 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 20310606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939838200).

20310606112 is an abundant number, since it is smaller than the sum of its proper divisors (23569070288).

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

20310606112 is a wasteful number, since it uses less digits than its factorization.

20310606112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 20310606112 in words is "twenty billion, three hundred ten million, six hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 829 928 986 1553 1658 1972 3106 3316 3944 6212 6632 7888 12424 13264 14093 15776 24041 24848 26401 26528 28186 45037 48082 49696 52802 56372 90074 96164 105604 112744 180148 192328 211208 225488 360296 384656 408697 422416 450976 720592 765629 769312 817394 844832 1287437 1441184 1531258 1634788 2574874 3062516 3269576 5149748 6125032 6539152 10299496 12250064 13078304 20598992 21886429 24500128 37335673 41197984 43772858 74671346 87545716 149342692 175091432 298685384 350182864 597370768 634706441 700365728 1194741536 1269412882 2538825764 5077651528 10155303056 20310606112