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10023400420 = 22511239710433
BaseRepresentation
bin10010101010111000…
…01111001111100100
3221212112210111110121
421111130033033210
5131011442303140
64334340131324
7503250332515
oct112534171744
927775714417
1010023400420
114283a48100
121b38996b44
13c397c1587
146b12d4a0c
153d9e8164a
hex25570f3e4

10023400420 has 72 divisors (see below), whose sum is σ = 23197160952. Its totient is φ = 3635343360.

The previous prime is 10023400403. The next prime is 10023400427. The reversal of 10023400420 is 2400432001.

It can be written as a sum of positive squares in 4 ways, for example, as 2158903296 + 7864497124 = 46464^2 + 88682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10023400394 and 10023400403.

It is not an unprimeable number, because it can be changed into a prime (10023400427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955524 + ... + 965956.

It is an arithmetic number, because the mean of its divisors is an integer number (322182791).

Almost surely, 210023400420 is an apocalyptic number.

10023400420 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 10023400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598580476).

10023400420 is an abundant number, since it is smaller than the sum of its proper divisors (13173760532).

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

10023400420 is a wasteful number, since it uses less digits than its factorization.

10023400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10023400420 its reverse (2400432001), we get a palindrome (12423832421).

The spelling of 10023400420 in words is "ten billion, twenty-three million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 397 484 605 794 1210 1588 1985 2420 3970 4367 7940 8734 10433 17468 20866 21835 41732 43670 48037 52165 87340 96074 104330 114763 192148 208660 229526 240185 459052 480370 573815 960740 1147630 1262393 2295260 2524786 4141901 5049572 6311965 8283802 12623930 16567604 20709505 25247860 41419010 45560911 82838020 91121822 182243644 227804555 455609110 501170021 911218220 1002340042 2004680084 2505850105 5011700210 10023400420