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10222200100 = 2252753275531
BaseRepresentation
bin10011000010100101…
…00110010100100100
3222101101212120100201
421201102212110210
5131413340400400
64410201120244
7511213160440
oct114122462444
928341776321
1010222200100
114376190262
121b93489084
13c6ba48418
146cd883820
153ec65006a
hex2614a6524

10222200100 has 72 divisors (see below), whose sum is σ = 25829471808. Its totient is φ = 3438614400.

The previous prime is 10222200091. The next prime is 10222200101. The reversal of 10222200100 is 100222201.

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

It is not an unprimeable number, because it can be changed into a prime (10222200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100666 + ... + 174865.

It is an arithmetic number, because the mean of its divisors is an integer number (358742664).

Almost surely, 210222200100 is an apocalyptic number.

10222200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222200100 is an abundant number, since it is smaller than the sum of its proper divisors (15607271708).

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

10222200100 is a wasteful number, since it uses less digits than its factorization.

10222200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275605 (or 275598 counting only the distinct ones).

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

Adding to 10222200100 its reverse (100222201), we get a palindrome (10322422301).

The spelling of 10222200100 in words is "ten billion, two hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1855 2650 3710 5300 7420 9275 18550 37100 275531 551062 1102124 1377655 1928717 2755310 3857434 5510620 6888275 7714868 9643585 13776550 14603143 19287170 27553100 29206286 38574340 48217925 58412572 73015715 96435850 102222001 146031430 192871700 204444002 292062860 365078575 408888004 511110005 730157150 1022220010 1460314300 2044440020 2555550025 5111100050 10222200100