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201322025233000 = 2353728760289319
BaseRepresentation
bin101101110001100111101111…
…110011001010101001101000
3222101211012100002100021102221
4231301213233303022221220
5202341430001424424000
61552102021150203424
760256015314350410
oct5561475763125150
9871735302307387
10201322025233000
1159169211876041
121a6b5682ab3574
13884477c501569
1437a007643b640
151841cab92961a
hexb719efccaa68

201322025233000 has 64 divisors (see below), whose sum is σ = 538392616070400. Its totient is φ = 69024694363200.

The previous prime is 201322025232961. The next prime is 201322025233003. The reversal of 201322025233000 is 332520223102.

201322025233000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (201322025233003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14380137660 + ... + 14380151659.

It is an arithmetic number, because the mean of its divisors is an integer number (8412384626100).

Almost surely, 2201322025233000 is an apocalyptic number.

201322025233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201322025233000 is an abundant number, since it is smaller than the sum of its proper divisors (337070590837400).

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

201322025233000 is a wasteful number, since it uses less digits than its factorization.

201322025233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28760289347 (or 28760289333 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 201322025233000 its reverse (332520223102), we get a palindrome (201654545456102).

The spelling of 201322025233000 in words is "two hundred one trillion, three hundred twenty-two billion, twenty-five million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 28760289319 57520578638 115041157276 143801446595 201322025233 230082314552 287602893190 402644050466 575205786380 719007232975 805288100932 1006610126165 1150411572760 1438014465950 1610576201864 2013220252330 2876028931900 3595036164875 4026440504660 5033050630825 5752057863800 7190072329750 8052881009320 10066101261650 14380144659500 20132202523300 25165253154125 28760289319000 40264405046600 50330506308250 100661012616500 201322025233000