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20313101028 = 223112113123803
BaseRepresentation
bin10010111010110000…
…010101001011100100
31221102122200110010010
4102322300111023210
5313100123213103
613155352130220
71316243336613
oct227260251344
957378613103
1020313101028
118684241500
123b2a996970
131bb951190c
14da9b0987a
157dd4b6903
hex4bac152e4

20313101028 has 72 divisors (see below), whose sum is σ = 52559254944. Its totient is φ = 6100962560.

The previous prime is 20313101027. The next prime is 20313101051. The reversal of 20313101028 is 82010131302.

It is a junction number, because it is equal to n+sod(n) for n = 20313100995 and 20313101013.

It is not an unprimeable number, because it can be changed into a prime (20313101027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102175 + ... + 225977.

It is an arithmetic number, because the mean of its divisors is an integer number (729989652).

Almost surely, 220313101028 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 20313101028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26279627472).

20313101028 is an abundant number, since it is smaller than the sum of its proper divisors (32246153916).

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

20313101028 is a wasteful number, since it uses less digits than its factorization.

20313101028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123945 (or 123932 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 20313101028 in words is "twenty billion, three hundred thirteen million, one hundred one thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 121 132 226 242 339 363 452 484 678 726 1243 1356 1452 2486 3729 4972 7458 13673 14916 27346 41019 54692 82038 123803 164076 247606 371409 495212 742818 1361833 1485636 2723666 4085499 5447332 8170998 13989739 14980163 16341996 27979478 29960326 41969217 44940489 55958956 59920652 83938434 89880978 153887129 167876868 179761956 307774258 461661387 615548516 923322774 1692758419 1846645548 3385516838 5078275257 6771033676 10156550514 20313101028