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21102310100 = 22521983133813
BaseRepresentation
bin10011101001110010…
…111011001011010100
32000110122201102102202
4103221302323023110
5321204142410400
613405543424032
71344635450654
oct235162731324
960418642382
1021102310100
118a49781a03
12410b155018
131cb3b86c31
141042866364
1583790b4d5
hex4e9cbb2d4

21102310100 has 72 divisors (see below), whose sum is σ = 48783231840. Its totient is φ = 7900260480.

The previous prime is 21102310067. The next prime is 21102310129. The reversal of 21102310100 is 101320112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90794 + ... + 224606.

Almost surely, 221102310100 is an apocalyptic number.

21102310100 is a gapful number since it is divisible by the number (20) 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 21102310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391615920).

21102310100 is an abundant number, since it is smaller than the sum of its proper divisors (27680921740).

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

21102310100 is a wasteful number, since it uses less digits than its factorization.

21102310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133929 (or 133922 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21102310100 its reverse (101320112), we get a palindrome (21203630212).

The spelling of 21102310100 in words is "twenty-one billion, one hundred two million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 166 190 332 380 415 475 830 950 1577 1660 1900 2075 3154 4150 6308 7885 8300 15770 31540 39425 78850 133813 157700 267626 535252 669065 1338130 2542447 2676260 3345325 5084894 6690650 10169788 11106479 12712235 13381300 22212958 25424470 44425916 50848940 55532395 63561175 111064790 127122350 211023101 222129580 254244700 277661975 422046202 555323950 844092404 1055115505 1110647900 2110231010 4220462020 5275577525 10551155050 21102310100