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10022104300 = 22521373105607
BaseRepresentation
bin10010101010101110…
…10010110011101100
3221212110100122112011
421111113102303230
5131011124314200
64334252251004
7503233323655
oct112527226354
927773318464
1010022104300
11428324232a
121b38470a64
13c39459640
146b107852c
153d9cc75ba
hex2555d2cec

10022104300 has 72 divisors (see below), whose sum is σ = 23741945696. Its totient is φ = 3649743360.

The previous prime is 10022104277. The next prime is 10022104319. The reversal of 10022104300 is 340122001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42097 + ... + 147703.

Almost surely, 210022104300 is an apocalyptic number.

10022104300 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 10022104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870972848).

10022104300 is an abundant number, since it is smaller than the sum of its proper divisors (13719841396).

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

10022104300 is a wasteful number, since it uses less digits than its factorization.

10022104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105707 (or 105700 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10022104300 its reverse (340122001), we get a palindrome (10362226301).

The spelling of 10022104300 in words is "ten billion, twenty-two million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 260 292 325 365 650 730 949 1300 1460 1825 1898 3650 3796 4745 7300 9490 18980 23725 47450 94900 105607 211214 422428 528035 1056070 1372891 2112140 2640175 2745782 5280350 5491564 6864455 7709311 10560700 13728910 15418622 27457820 30837244 34322275 38546555 68644550 77093110 100221043 137289100 154186220 192732775 200442086 385465550 400884172 501105215 770931100 1002210430 2004420860 2505526075 5011052150 10022104300