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2002321101132 = 22321199121112417
BaseRepresentation
bin11101001000110011101…
…000110101000101001100
321002102100012102000010200
4131020303220311011030
5230301223200214012
64131504214133500
7264443245352532
oct35106350650514
97072305360120
102002321101132
117021a8074490
12284091351290
13116a833b6bb1
146ccacc52152
1537141b6b3dc
hex1d233a3514c

2002321101132 has 144 divisors (see below), whose sum is σ = 5532029927424. Its totient is φ = 605613888000.

The previous prime is 2002321101049. The next prime is 2002321101139. The reversal of 2002321101132 is 2311011232002.

2002321101132 is a `hidden beast` number, since 200 + 2 + 321 + 10 + 1 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2002321101139) 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 47 ways as a sum of consecutive naturals, for example, 828431188 + ... + 828433604.

It is an arithmetic number, because the mean of its divisors is an integer number (38416874496).

Almost surely, 22002321101132 is an apocalyptic number.

2002321101132 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 2002321101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766014963712).

2002321101132 is an abundant number, since it is smaller than the sum of its proper divisors (3529708826292).

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

2002321101132 is a wasteful number, since it uses less digits than its factorization.

2002321101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002321101132 its reverse (2311011232002), we get a palindrome (4313332333134).

The spelling of 2002321101132 in words is "two trillion, two billion, three hundred twenty-one million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 991 1982 2111 2417 2973 3964 4222 4834 5946 6333 7251 8444 8919 9668 10901 11892 12666 14502 17838 18999 21753 21802 23221 25332 26587 29004 32703 35676 37998 43506 43604 46442 53174 65406 69663 75996 79761 87012 92884 98109 106348 130812 139326 159522 196218 208989 239283 278652 319044 392436 417978 478566 835956 957132 2092001 2395247 4184002 4790494 5102287 6276003 7185741 8368004 9580988 10204574 12552006 14371482 15306861 18828009 20409148 21557223 23012011 25104012 26347717 28742964 30613722 37656018 43114446 45920583 46024022 52695434 56125157 61227444 69036033 75312036 79043151 86228892 91841166 92048044 105390868 112250314 138072066 158086302 168375471 183682332 207108099 224500628 237129453 276144132 316172604 336750942 414216198 474258906 505126413 673501884 828432396 948517812 1010252826 2020505652 5056366417 10112732834 15169099251 20225465668 30338198502 45507297753 55620030587 60676397004 91014595506 111240061174 166860091761 182029191012 222480122348 333720183522 500580275283 667440367044 1001160550566 2002321101132