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10026220100 = 22521325130727
BaseRepresentation
bin10010101011001101…
…11111101001000100
3221212202002202100012
421111212333221010
5131013203020400
64334520405352
7503313315251
oct112546775104
927782082305
1010026220100
1142855a3616
121b39916858
13c3a26ab20
146b182a428
153da33bd35
hex2559bfa44

10026220100 has 72 divisors (see below), whose sum is σ = 23524619328. Its totient is φ = 3687120000.

The previous prime is 10026220081. The next prime is 10026220121. The reversal of 10026220100 is 102262001.

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, 310937 + ... + 341663.

It is an arithmetic number, because the mean of its divisors is an integer number (326730824).

Almost surely, 210026220100 is an apocalyptic number.

10026220100 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 10026220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762309664).

10026220100 is an abundant number, since it is smaller than the sum of its proper divisors (13498399228).

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

10026220100 is a wasteful number, since it uses less digits than its factorization.

10026220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005 (or 30998 counting only the distinct ones).

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

Adding to 10026220100 its reverse (102262001), we get a palindrome (10128482101).

The spelling of 10026220100 in words is "ten billion, twenty-six million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 251 260 325 502 650 1004 1255 1300 2510 3263 5020 6275 6526 12550 13052 16315 25100 30727 32630 61454 65260 81575 122908 153635 163150 307270 326300 399451 614540 768175 798902 1536350 1597804 1997255 3072700 3994510 7712477 7989020 9986275 15424954 19972550 30849908 38562385 39945100 77124770 100262201 154249540 192811925 200524402 385623850 401048804 501311005 771247700 1002622010 2005244020 2506555025 5013110050 10026220100