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21100010200020 = 22335122331949381
BaseRepresentation
bin1001100110000101110101…
…00111001101101111010100
32202201010210222201111012000
410303002322213031233110
510231200310102400040
6112513113314155300
74305265631321043
oct463027247155724
982633728644160
1021100010200020
1167a55117554a4
1224493a6882b30
13ba095122090b
1452d362c1c55a
15268cd669e130
hex1330ba9cdbd4

21100010200020 has 96 divisors (see below), whose sum is σ = 65698153194240. Its totient is φ = 5622068499840.

The previous prime is 21100010200007. The next prime is 21100010200051. The reversal of 21100010200020 is 2000201000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21100010199975 and 21100010200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15314271 + ... + 16635110.

It is an arithmetic number, because the mean of its divisors is an integer number (684355762440).

Almost surely, 221100010200020 is an apocalyptic number.

21100010200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100010200020 is an abundant number, since it is smaller than the sum of its proper divisors (44598142994220).

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

21100010200020 is a wasteful number, since it uses less digits than its factorization.

21100010200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31950622 (or 31950614 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100010200020 its reverse (2000201000112), we get a palindrome (23100211200132).

The spelling of 21100010200020 in words is "twenty-one trillion, one hundred billion, ten million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1223 2446 3669 4892 6115 7338 11007 12230 14676 18345 22014 24460 33021 36690 44028 55035 66042 73380 110070 132084 165105 220140 330210 660420 31949381 63898762 95848143 127797524 159746905 191696286 287544429 319493810 383392572 479240715 575088858 638987620 862633287 958481430 1150177716 1437722145 1725266574 1916962860 2875444290 3450533148 4313166435 5750888580 8626332870 17252665740 39074092963 78148185926 117222278889 156296371852 195370464815 234444557778 351666836667 390740929630 468889115556 586111394445 703333673334 781481859260 1055000510001 1172222788890 1406667346668 1758334183335 2110001020002 2344445577780 3516668366670 4220002040004 5275002550005 7033336733340 10550005100010 21100010200020