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2002220131032 = 23321123910577639
BaseRepresentation
bin11101001000101101100…
…111101010001011011000
321002102002011102012012100
4131020231213222023120
5230301021323143112
64131450210043400
7264440611210212
oct35105547521330
97072064365170
102002220131032
11702156080120
12284063579560
13116a684c3984
146cc9d68b5b2
1537137d742dc
hex1d22d9ea2d8

2002220131032 has 96 divisors (see below), whose sum is σ = 5940402624000. Its totient is φ = 604194682560.

The previous prime is 2002220131019. The next prime is 2002220131033. The reversal of 2002220131032 is 2301310222002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002220130996 and 2002220131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002220131033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5099532 + ... + 5478107.

It is an arithmetic number, because the mean of its divisors is an integer number (61879194000).

Almost surely, 22002220131032 is an apocalyptic number.

2002220131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002220131032 is an abundant number, since it is smaller than the sum of its proper divisors (3938182492968).

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

2002220131032 is a wasteful number, since it uses less digits than its factorization.

2002220131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577901 (or 10577894 counting only the distinct ones).

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

Adding to 2002220131032 its reverse (2301310222002), we get a palindrome (4303530353034).

The spelling of 2002220131032 in words is "two trillion, two billion, two hundred twenty million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 239 264 396 478 717 792 956 1434 1912 2151 2629 2868 4302 5258 5736 7887 8604 10516 15774 17208 21032 23661 31548 47322 63096 94644 189288 10577639 21155278 31732917 42310556 63465834 84621112 95198751 116354029 126931668 190397502 232708058 253863336 349062087 380795004 465416116 698124174 761590008 930832232 1047186261 1396248348 2094372522 2528055721 2792496696 4188745044 5056111442 7584167163 8377490088 10112222884 15168334326 20224445768 22752501489 27808612931 30336668652 45505002978 55617225862 60673337304 83425838793 91010005956 111234451724 166851677586 182020011912 222468903448 250277516379 333703355172 500555032758 667406710344 1001110065516 2002220131032