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20313232100 = 22527166917387
BaseRepresentation
bin10010111010110000…
…110101001011100100
31221102122221002220122
4102322300311023210
5313100141411400
613155355021112
71316244424010
oct227260651344
957378832818
1020313232100
118684320a27
123b2aa3a798
131bb9559485
14da9b41540
157dd4e0685
hex4bac352e4

20313232100 has 72 divisors (see below), whose sum is σ = 50409898560. Its totient is φ = 6959963520.

The previous prime is 20313232099. The next prime is 20313232103. The reversal of 20313232100 is 123231302.

It is not an unprimeable number, because it can be changed into a prime (20313232103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159607 + ... + 1176993.

It is an arithmetic number, because the mean of its divisors is an integer number (700137480).

Almost surely, 220313232100 is an apocalyptic number.

20313232100 is a gapful number since it is divisible by the number (20) 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 20313232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25204949280).

20313232100 is an abundant number, since it is smaller than the sum of its proper divisors (30096666460).

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

20313232100 is a wasteful number, since it uses less digits than its factorization.

20313232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19077 (or 19070 counting only the distinct ones).

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

Adding to 20313232100 its reverse (123231302), we get a palindrome (20436463402).

The spelling of 20313232100 in words is "twenty billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1669 3338 6676 8345 11683 16690 17387 23366 33380 34774 41725 46732 58415 69548 83450 86935 116830 121709 166900 173870 233660 243418 292075 347740 434675 486836 584150 608545 869350 1168300 1217090 1738700 2434180 3042725 6085450 12170900 29018903 58037806 116075612 145094515 203132321 290189030 406264642 580378060 725472575 812529284 1015661605 1450945150 2031323210 2901890300 4062646420 5078308025 10156616050 20313232100