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21003201222320 = 2451923600778067
BaseRepresentation
bin1001100011010001100000…
…10110010001011010110000
32202100212221012112212121102
410301220300112101122300
510223104024003103240
6112400423141543532
74265300622511412
oct461506026213260
982325835485542
1021003201222320
1167684535a0709
122432689714ba8
13b94793858565
145287bb8ca9b2
1526651c68c815
hex131a305916b0

21003201222320 has 80 divisors (see below), whose sum is σ = 53637465911040. Its totient is φ = 7613059652352.

The previous prime is 21003201222317. The next prime is 21003201222349. The reversal of 21003201222320 is 2322210230012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×210032012223202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21003201222292 and 21003201222301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300354074 + ... + 300423993.

It is an arithmetic number, because the mean of its divisors is an integer number (670468323888).

Almost surely, 221003201222320 is an apocalyptic number.

21003201222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21003201222320 is an abundant number, since it is smaller than the sum of its proper divisors (32634264688720).

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

21003201222320 is a wasteful number, since it uses less digits than its factorization.

21003201222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600778122 (or 600778116 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21003201222320 its reverse (2322210230012), we get a palindrome (23325411452332).

The spelling of 21003201222320 in words is "twenty-one trillion, three billion, two hundred one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 6992 8740 17480 34960 600778067 1201556134 2403112268 3003890335 4806224536 6007780670 9612449072 11414783273 12015561340 13817895541 22829566546 24031122680 27635791082 45659133092 48062245360 55271582164 57073916365 69089477705 91318266184 110543164328 114147832730 138178955410 182636532368 221086328656 228295665460 262540015279 276357910820 456591330920 525080030558 552715821640 913182661840 1050160061116 1105431643280 1312700076395 2100320122232 2625400152790 4200640244464 5250800305580 10501600611160 21003201222320