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10321401020 = 2257293182007
BaseRepresentation
bin10011001110011010…
…00001010010111100
3222122022112111102212
421213031001102330
5132114234313040
64424103235552
7513526314110
oct114715012274
928568474385
1010321401020
114417186397
122000748bb8
13c8646c2a8
146dcb07740
154061e7d65
hex2673414bc

10321401020 has 96 divisors (see below), whose sum is σ = 26452500480. Its totient is φ = 3306481920.

The previous prime is 10321401017. The next prime is 10321401037. The reversal of 10321401020 is 2010412301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10321400986 and 10321401004.

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, 84857 + ... + 166863.

It is an arithmetic number, because the mean of its divisors is an integer number (275546880).

Almost surely, 210321401020 is an apocalyptic number.

10321401020 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 10321401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226250240).

10321401020 is an abundant number, since it is smaller than the sum of its proper divisors (16131099460).

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

10321401020 is a wasteful number, since it uses less digits than its factorization.

10321401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82083 (or 82081 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10321401020 its reverse (2010412301), we get a palindrome (12331813321).

The spelling of 10321401020 in words is "ten billion, three hundred twenty-one million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 31 35 58 62 70 116 124 140 145 155 203 217 290 310 406 434 580 620 812 868 899 1015 1085 1798 2030 2170 3596 4060 4340 4495 6293 8990 12586 17980 25172 31465 62930 82007 125860 164014 328028 410035 574049 820070 1148098 1640140 2296196 2378203 2542217 2870245 4756406 5084434 5740490 9512812 10168868 11480980 11891015 12711085 16647421 17795519 23782030 25422170 33294842 35591038 47564060 50844340 66589684 71182076 73724293 83237105 88977595 147448586 166474210 177955190 294897172 332948420 355910380 368621465 516070051 737242930 1032140102 1474485860 2064280204 2580350255 5160700510 10321401020