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2002121121112 = 2371911511634833
BaseRepresentation
bin11101001000100111101…
…101111101110101011000
321002101211021002222010021
4131020213231331311120
5230300321001333422
64131432312000224
7264435266510440
oct35104755756530
97071737088107
102002121121112
117021051a5542
12284036390074
13116a50b38a18
146cc90477120
153712e317dc7
hex1d227b7dd58

2002121121112 has 64 divisors (see below), whose sum is σ = 4519989043200. Its totient is φ = 812184537600.

The previous prime is 2002121121107. The next prime is 2002121121137. The reversal of 2002121121112 is 2111211212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407248 + ... + 2042080.

It is an arithmetic number, because the mean of its divisors is an integer number (70624828800).

Almost surely, 22002121121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002121121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259994521600).

2002121121112 is an abundant number, since it is smaller than the sum of its proper divisors (2517867922088).

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

2002121121112 is a wasteful number, since it uses less digits than its factorization.

2002121121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636016 (or 1636012 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2002121121112 its reverse (2111211212002), we get a palindrome (4113332333114).

The spelling of 2002121121112 in words is "two trillion, two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1151 2302 4604 8057 9208 16114 21869 32228 43738 64456 87476 153083 174952 306166 612332 1224664 1634833 3269666 6539332 11443831 13078664 22887662 31061827 45775324 62123654 91550648 124247308 217432789 248494616 434865578 869731156 1739462312 1881692783 3763385566 7526771132 13171849481 15053542264 26343698962 35752162877 52687397924 71504325754 105374795848 143008651508 250265140139 286017303016 500530280278 1001060560556 2002121121112