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22002020113320 = 23325134701286349
BaseRepresentation
bin1010000000010101111101…
…00101111101101110101000
32212220101001121111202010200
411000022332211331232220
510340440114122111240
6114443331041112200
74430410366142112
oct500127645755650
985811047452120
1022002020113320
117013005842965
122574180028660
13c37a21215320
14560c911203b2
152824ca39a930
hex1402be97dba8

22002020113320 has 96 divisors (see below), whose sum is σ = 77007070413000. Its totient is φ = 5415881872896.

The previous prime is 22002020113253. The next prime is 22002020113387. The reversal of 22002020113320 is 2331102020022.

It is an interprime number because it is at equal distance from previous prime (22002020113253) and next prime (22002020113387).

It can be written as a sum of positive squares in 4 ways, for example, as 7220409674724 + 14781610438596 = 2687082^2 + 3844686^2 .

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 = 22002020113293 and 22002020113302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350638495 + ... + 2350647854.

Almost surely, 222002020113320 is an apocalyptic number.

22002020113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002020113320 is an abundant number, since it is smaller than the sum of its proper divisors (55005050299680).

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

22002020113320 is a wasteful number, since it uses less digits than its factorization.

22002020113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701286379 (or 4701286372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22002020113320 its reverse (2331102020022), we get a palindrome (24333122133342).

The spelling of 22002020113320 in words is "twenty-two trillion, two billion, twenty million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4701286349 9402572698 14103859047 18805145396 23506431745 28207718094 37610290792 42311577141 47012863490 56415436188 61116722537 70519295235 84623154282 94025726980 112830872376 122233445074 141038590470 169246308564 183350167611 188051453960 211557885705 244466890148 282077180940 305583612685 338492617128 366700335222 423115771410 488933780296 550050502833 564154361880 611167225370 733400670444 846231542820 916750838055 1100101005666 1222334450740 1466801340888 1692463085640 1833501676110 2200202011332 2444668901480 2750252514165 3667003352220 4400404022664 5500505028330 7334006704440 11001010056660 22002020113320