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221301330004200 = 23352894144219663
BaseRepresentation
bin110010010100010110111011…
…001010011100100011101000
31002000120012102012002020020010
4302110112323022130203220
5213001300110440113300
62102400232201531520
764420331155015305
oct6224267312344350
91060505365066203
10221301330004200
11645714045233a6
12209a181b7a3ba0
13966381a07bb84
143c91081d1c0ac
151a8b84e9b5a50
hexc945bb29c8e8

221301330004200 has 96 divisors (see below), whose sum is σ = 693742371753600. Its totient is φ = 58350612840960.

The previous prime is 221301330004127. The next prime is 221301330004207. The reversal of 221301330004200 is 2400033103122.

It is not an unprimeable number, because it can be changed into a prime (221301330004207) by changing a digit.

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, 2072056432 + ... + 2072163231.

It is an arithmetic number, because the mean of its divisors is an integer number (7226483039100).

Almost surely, 2221301330004200 is an apocalyptic number.

221301330004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221301330004200 is an abundant number, since it is smaller than the sum of its proper divisors (472441041749400).

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

221301330004200 is a wasteful number, since it uses less digits than its factorization.

221301330004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144219771 (or 4144219762 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221301330004200 its reverse (2400033103122), we get a palindrome (223701363107322).

The spelling of 221301330004200 in words is "two hundred twenty-one trillion, three hundred one billion, three hundred thirty million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 8900 10680 13350 17800 26700 53400 4144219663 8288439326 12432658989 16576878652 20721098315 24865317978 33153757304 41442196630 49730635956 62163294945 82884393260 99461271912 103605491575 124326589890 165768786520 207210983150 248653179780 310816474725 368835550007 414421966300 497306359560 621632949450 737671100014 828843932600 1106506650021 1243265898900 1475342200028 1844177750035 2213013300042 2486531797800 2950684400056 3688355500070 4426026600084 5532533250105 7376711000140 8852053200168 9220888750175 11065066500210 14753422000280 18441777500350 22130133000420 27662666250525 36883555000700 44260266000840 55325332501050 73767110001400 110650665002100 221301330004200