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21122002200420 = 223251110667677879
BaseRepresentation
bin1001100110101110110010…
…11100000010011101100100
32202210020120122112212021100
410303113121130002131210
510232030330030403140
6112531151443120100
74310004622251222
oct463273134023544
982706518485240
1021122002200420
116803877657940
122451703973030
13ba2a475016c4
1453044b8b9b12
1526967224c530
hex1335d9702764

21122002200420 has 72 divisors (see below), whose sum is σ = 69894625469760. Its totient is φ = 5120485381440.

The previous prime is 21122002200413. The next prime is 21122002200451. The reversal of 21122002200420 is 2400220022112.

21122002200420 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 20 + 0 + 220 + 0 + 420 = 666.

It is a super-2 number, since 2×211220022004202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21122002200393 and 21122002200402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5333836960 + ... + 5333840919.

It is an arithmetic number, because the mean of its divisors is an integer number (970758687080).

Almost surely, 221122002200420 is an apocalyptic number.

21122002200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122002200420 is an abundant number, since it is smaller than the sum of its proper divisors (48772623269340).

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

21122002200420 is a wasteful number, since it uses less digits than its factorization.

21122002200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667677905 (or 10667677900 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21122002200420 its reverse (2400220022112), we get a palindrome (23522222222532).

The spelling of 21122002200420 in words is "twenty-one trillion, one hundred twenty-two billion, two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10667677879 21335355758 32003033637 42670711516 53338389395 64006067274 96009100911 106676778790 117344456669 128012134548 160015168185 192018201822 213353557580 234688913338 320030336370 352033370007 384036403644 469377826676 480045504555 586722283345 640060672740 704066740014 960091009110 1056100110021 1173444566690 1408133480028 1760166850035 1920182018220 2112200220042 2346889133380 3520333700070 4224400440084 5280500550105 7040667400140 10561001100210 21122002200420