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2002023210132 = 22321129325353591
BaseRepresentation
bin11101001000100001111…
…000011101110010010100
321002101120102212120111200
4131020201320131302110
5230300120420211012
64131414453232500
7264433000335621
oct35104170356224
97071512776450
102002023210132
11702064a00580
12284009632730
13116a3677702a
146cc8146b348
15371259273dc
hex1d221e1dc94

2002023210132 has 144 divisors (see below), whose sum is σ = 5712962935680. Its totient is φ = 585562924800.

The previous prime is 2002023210119. The next prime is 2002023210151. The reversal of 2002023210132 is 2310123202002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37330657 + ... + 37384247.

It is an arithmetic number, because the mean of its divisors is an integer number (39673353720).

Almost surely, 22002023210132 is an apocalyptic number.

2002023210132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002023210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856481467840).

2002023210132 is an abundant number, since it is smaller than the sum of its proper divisors (3710939725548).

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

2002023210132 is a wasteful number, since it uses less digits than its factorization.

2002023210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56894 (or 56889 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002023210132 its reverse (2310123202002), we get a palindrome (4312146412134).

The spelling of 2002023210132 in words is "two trillion, two billion, twenty-three million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3253 3828 5742 6506 9759 11484 13012 19518 29277 35783 39036 53591 58554 71566 94337 107182 107349 117108 143132 160773 188674 214364 214698 283011 321546 322047 377348 429396 482319 566022 589501 643092 644094 849033 964638 1037707 1132044 1179002 1288188 1554139 1698066 1768503 1929276 2075414 2358004 3108278 3113121 3396132 3537006 4150828 4662417 5305509 6216556 6226242 7074012 9324834 9339363 10611018 12452484 13987251 17095529 18649668 18678726 21222036 27974502 34191058 37357452 51286587 55949004 68382116 102573174 153859761 174331523 205146348 307719522 348663046 522994569 615439044 697326092 1045989138 1568983707 1917646753 2091978276 3137967414 3835293506 5055614167 5752940259 6275934828 7670587012 10111228334 11505880518 15166842501 17258820777 20222456668 23011761036 30333685002 34517641554 45500527503 55611755837 60667370004 69035283108 91001055006 111223511674 166835267511 182002110012 222447023348 333670535022 500505802533 667341070044 1001011605066 2002023210132