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221031200113320 = 233523103377525429
BaseRepresentation
bin110010010000011011010110…
…001010101100001010101000
31001222121101011101000222001210
4302100123112022230022220
5212432333344212111240
62102032155340513120
764361656121564112
oct6220332612541250
91058541141028053
10221031200113320
11644778952131a3
12209593b184b7a0
1396441ca73745c
143c81d77c923b2
151a847de824780
hexc906d62ac2a8

221031200113320 has 128 divisors (see below), whose sum is σ = 692593585516800. Its totient is φ = 56324394153984.

The previous prime is 221031200113291. The next prime is 221031200113327. The reversal of 221031200113320 is 23311002130122.

It is a super-2 number, since 2×2210312001133202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221031200113327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35911635 + ... + 41613794.

It is an arithmetic number, because the mean of its divisors is an integer number (5410887386850).

Almost surely, 2221031200113320 is an apocalyptic number.

221031200113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221031200113320 is an abundant number, since it is smaller than the sum of its proper divisors (471562385403480).

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

221031200113320 is a wasteful number, since it uses less digits than its factorization.

221031200113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77526499 (or 77526495 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221031200113320 its reverse (23311002130122), we get a palindrome (244342202243442).

The spelling of 221031200113320 in words is "two hundred twenty-one trillion, thirty-one billion, two hundred million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1033 1380 2066 2760 3099 4132 5165 6198 8264 10330 12396 15495 20660 23759 24792 30990 41320 47518 61980 71277 95036 118795 123960 142554 190072 237590 285108 356385 475180 570216 712770 950360 1425540 2851080 77525429 155050858 232576287 310101716 387627145 465152574 620203432 775254290 930305148 1162881435 1550508580 1783084867 1860610296 2325762870 3101017160 3566169734 4651525740 5349254601 7132339468 8915424335 9303051480 10698509202 14264678936 17830848670 21397018404 26746273005 35661697340 42794036808 53492546010 71323394680 80083768157 106985092020 160167536314 213970184040 240251304471 320335072628 400418840785 480502608942 640670145256 800837681570 961005217884 1201256522355 1601675363140 1841926667611 1922010435768 2402513044710 3203350726280 3683853335222 4805026089420 5525780002833 7367706670444 9209633338055 9610052178840 11051560005666 14735413340888 18419266676110 22103120011332 27628900014165 36838533352220 44206240022664 55257800028330 73677066704440 110515600056660 221031200113320