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21122000200 = 2352717887479
BaseRepresentation
bin10011101010111110…
…000010010101001000
32000112000202210011201
4103222332002111020
5321224213001300
613411525433544
71345265016340
oct235276022510
960460683151
1021122000200
118a59900414
12411586b8b4
131cb7c8c292
14104530dd20
158394ea66a
hex4eaf82548

21122000200 has 96 divisors (see below), whose sum is σ = 59425660800. Its totient is φ = 6815831040.

The previous prime is 21122000167. The next prime is 21122000203. The reversal of 21122000200 is 200022112.

It is a super-2 number, since 2×211220002002 (a number of 21 digits) contains 22 as substring.

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 (21122000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419940 + ... + 467539.

It is an arithmetic number, because the mean of its divisors is an integer number (619017300).

Almost surely, 221122000200 is an apocalyptic number.

21122000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122000200 is an abundant number, since it is smaller than the sum of its proper divisors (38303660600).

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

21122000200 is a wasteful number, since it uses less digits than its factorization.

21122000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887519 (or 887510 counting only the distinct ones).

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

Adding to 21122000200 its reverse (200022112), we get a palindrome (21322022312).

It can be divided in two parts, 21 and 122000200, that added together give a palindrome (122000221).

The spelling of 21122000200 in words is "twenty-one billion, one hundred twenty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 887479 1774958 3549916 4437395 6212353 7099832 8874790 12424706 15087143 17749580 22186975 24849412 30174286 31061765 35499160 44373950 49698824 60348572 62123530 75435715 88747900 105610001 120697144 124247060 150871430 155308825 177495800 211220002 248494120 301742860 310617650 377178575 422440004 528050005 603485720 621235300 754357150 844880008 1056100010 1242470600 1508714300 2112200020 2640250025 3017428600 4224400040 5280500050 10561000100 21122000200