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221042143015320 = 233511613273174827
BaseRepresentation
bin110010010000100101100010…
…011010100011000110011000
31001222122102102000000222120110
4302100211202122203012120
5212433023302102442240
62102041205245124320
764362524235660354
oct6220454232430630
91058572360028513
10221042143015320
11644814a01a2460
122095b5465596a0
13964525288c9b3
143c826d533c464
151a84c30385c80
hexc909626a3198

221042143015320 has 128 divisors (see below), whose sum is σ = 724590767773440. Its totient is φ = 53498557923840.

The previous prime is 221042143015279. The next prime is 221042143015321. The reversal of 221042143015320 is 23510341240122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221042143015321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135778254 + ... + 137396573.

It is an arithmetic number, because the mean of its divisors is an integer number (5660865373230).

Almost surely, 2221042143015320 is an apocalyptic number.

221042143015320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221042143015320 is an abundant number, since it is smaller than the sum of its proper divisors (503548624758120).

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

221042143015320 is a wasteful number, since it uses less digits than its factorization.

221042143015320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273175465 (or 273175461 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 221042143015320 its reverse (23510341240122), we get a palindrome (244552484255442).

The spelling of 221042143015320 in words is "two hundred twenty-one trillion, forty-two billion, one hundred forty-three million, fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 613 660 1226 1320 1839 2452 3065 3678 4904 6130 6743 7356 9195 12260 13486 14712 18390 20229 24520 26972 33715 36780 40458 53944 67430 73560 80916 101145 134860 161832 202290 269720 404580 809160 273174827 546349654 819524481 1092699308 1365874135 1639048962 2185398616 2731748270 3004923097 3278097924 4097622405 5463496540 6009846194 6556195848 8195244810 9014769291 10926993080 12019692388 15024615485 16390489620 18029538582 24039384776 30049230970 32780979240 36059077164 45073846455 60098461940 72118154328 90147692910 120196923880 167456168951 180295385820 334912337902 360590771640 502368506853 669824675804 837280844755 1004737013706 1339649351608 1674561689510 1842017858461 2009474027412 2511842534265 3349123379020 3684035716922 4018948054824 5023685068530 5526053575383 6698246758040 7368071433844 9210089292305 10047370137060 11052107150766 14736142867688 18420178584610 20094740274120 22104214301532 27630267876915 36840357169220 44208428603064 55260535753830 73680714338440 110521071507660 221042143015320