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21113002402420 = 22571251275321517
BaseRepresentation
bin1001100110011110000010…
…00000100010001001110100
32202202101100102211202100111
410303033001000202021310
510231403412103334140
6112523102430152404
74306235611241125
oct463170100421164
982671312752314
1021113002402420
1167aaa79494455
12244ba11952704
13ba1c41ac2346
1452dc3651804c
152692e70b07ea
hex1333c1022274

21113002402420 has 96 divisors (see below), whose sum is σ = 45159400371456. Its totient is φ = 8289684480000.

The previous prime is 21113002402369. The next prime is 21113002402483. The reversal of 21113002402420 is 2420420031112.

It is a junction number, because it is equal to n+sod(n) for n = 21113002402391 and 21113002402400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981213502 + ... + 981235018.

It is an arithmetic number, because the mean of its divisors is an integer number (470410420536).

Almost surely, 221113002402420 is an apocalyptic number.

21113002402420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113002402420 is an abundant number, since it is smaller than the sum of its proper divisors (24046397969036).

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

21113002402420 is a wasteful number, since it uses less digits than its factorization.

21113002402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24601 (or 24599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21113002402420 its reverse (2420420031112), we get a palindrome (23533422433532).

The spelling of 21113002402420 in words is "twenty-one trillion, one hundred thirteen billion, two million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 251 284 355 502 710 1004 1255 1420 2510 2753 5020 5506 11012 13765 17821 21517 27530 35642 43034 55060 71284 86068 89105 107585 178210 195463 215170 356420 390926 430340 691003 781852 977315 1382006 1527707 1954630 2764012 3055414 3455015 3909260 5400767 6110828 6910030 7638535 10801534 13820060 15277070 21603068 27003835 30554140 49061213 54007670 59236301 98122426 108015340 118472602 196244852 236945204 245306065 296181505 383454457 490612130 592363010 766908914 981224260 1184726020 1533817828 1917272285 3834544570 4205777371 7669089140 8411554742 14868311551 16823109484 21028886855 29736623102 42057773710 59473246204 74341557755 84115547420 148683115510 297366231020 1055650120121 2111300240242 4222600480484 5278250600605 10556501201210 21113002402420