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20312210000 = 245416712163
BaseRepresentation
bin10010111010101100…
…111011101001010000
31221102121000011212002
4102322230323221100
5313044411210000
613155321053132
71316232636065
oct227254735120
957377004762
1020312210000
118683793015
123b2a6271a8
131bb928c194
14da9956c6c
157dd38c8d5
hex4bab3ba50

20312210000 has 100 divisors (see below), whose sum is σ = 49476437472. Its totient is φ = 8075568000.

The previous prime is 20312209999. The next prime is 20312210063. The reversal of 20312210000 is 1221302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1663919 + ... + 1676081.

Almost surely, 220312210000 is an apocalyptic number.

20312210000 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 20312210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738218736).

20312210000 is an abundant number, since it is smaller than the sum of its proper divisors (29164227472).

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

20312210000 is a wasteful number, since it uses less digits than its factorization.

20312210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20312210000 its reverse (1221302), we get a palindrome (20313431302).

The spelling of 20312210000 in words is "twenty billion, three hundred twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 625 668 835 1000 1250 1336 1670 2000 2500 2672 3340 4175 5000 6680 8350 10000 12163 13360 16700 20875 24326 33400 41750 48652 60815 66800 83500 97304 104375 121630 167000 194608 208750 243260 304075 334000 417500 486520 608150 835000 973040 1216300 1520375 1670000 2031221 2432600 3040750 4062442 4865200 6081500 7601875 8124884 10156105 12163000 15203750 16249768 20312210 24326000 30407500 32499536 40624420 50780525 60815000 81248840 101561050 121630000 162497680 203122100 253902625 406244200 507805250 812488400 1015610500 1269513125 2031221000 2539026250 4062442000 5078052500 10156105000 20312210000