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10140200020 = 22537101211643
BaseRepresentation
bin10010111000110011…
…10010110001010100
3222011200120112101201
421130121302301110
5131231342400040
64354111402244
7506166164236
oct113431626124
928150515351
1010140200020
1143339733a5
121b6bb23384
13c57a67872
146c2a1a256
153e5353a9a
hex25c672c54

10140200020 has 96 divisors (see below), whose sum is σ = 22225666176. Its totient is φ = 3882816000.

The previous prime is 10140200011. The next prime is 10140200033. The reversal of 10140200020 is 2000204101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15769819 + ... + 15770461.

It is an arithmetic number, because the mean of its divisors is an integer number (231517356).

Almost surely, 210140200020 is an apocalyptic number.

10140200020 is a gapful number since it is divisible by the number (10) 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 10140200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11112833088).

10140200020 is an abundant number, since it is smaller than the sum of its proper divisors (12085466156).

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

10140200020 is a wasteful number, since it uses less digits than its factorization.

10140200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10140200020 its reverse (2000204101), we get a palindrome (12140404121).

The spelling of 10140200020 in words is "ten billion, one hundred forty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 211 370 404 422 505 643 740 844 1010 1055 1286 2020 2110 2572 3215 3737 4220 6430 7474 7807 12860 14948 15614 18685 21311 23791 31228 37370 39035 42622 47582 64943 74740 78070 85244 95164 106555 118955 129886 135673 156140 213110 237910 259772 271346 324715 426220 475820 542692 649430 678365 788507 1298860 1356730 1577014 2402891 2713460 3154028 3942535 4805782 5019901 7885070 9611564 10039802 12014455 13702973 15770140 20079604 24028910 25099505 27405946 48057820 50199010 54811892 68514865 100398020 137029730 274059460 507010001 1014020002 2028040004 2535050005 5070100010 10140200020