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10012200100 = 2252719752797
BaseRepresentation
bin10010101001100011…
…00000110010100100
3221211202201110111221
421110301200302210
5131001110400400
64333300110124
7503053203520
oct112461406244
927752643457
1010012200100
114278698141
121b35095344
13c3739c576
146ada1ad80
153d8ebcc1a
hex254c60ca4

10012200100 has 72 divisors (see below), whose sum is σ = 26137146560. Its totient is φ = 3252078720.

The previous prime is 10012200073. The next prime is 10012200101. The reversal of 10012200100 is 100221001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10012200101) 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, 363099 + ... + 389698.

Almost surely, 210012200100 is an apocalyptic number.

10012200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012200100 is an abundant number, since it is smaller than the sum of its proper divisors (16124946460).

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

10012200100 is a wasteful number, since it uses less digits than its factorization.

10012200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752837 (or 752830 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10012200100 its reverse (100221001), we get a palindrome (10112421101).

The spelling of 10012200100 in words is "ten billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 752797 1505594 3011188 3763985 5269579 7527970 10539158 14303143 15055940 18819925 21078316 26347895 28606286 37639850 52695790 57212572 71515715 75279700 100122001 105391580 131739475 143031430 200244002 263478950 286062860 357578575 400488004 500610005 526957900 715157150 1001220010 1430314300 2002440020 2503050025 5006100050 10012200100