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102002003131023 = 3241642314303657
BaseRepresentation
bin10111001100010100110001…
…001010011011101010001111
3111101011021222222101222102200
4113030110301022123222033
5101332200100300143043
61000535023501452543
730325254504032412
oct2714246112335217
9441137888358380
10102002003131023
112a556896642a46
12b534808571153
1344bb9946ac838
141b28ccd733b79
15bbd48d57c7d3
hex5cc53129ba8f

102002003131023 has 24 divisors (see below), whose sum is σ = 150932178118176. Its totient is φ = 66341717971200.

The previous prime is 102002003131009. The next prime is 102002003131037. The reversal of 102002003131023 is 320131300200201.

102002003131023 is a `hidden beast` number, since 102 + 0 + 0 + 200 + 31 + 310 + 23 = 666.

102002003131023 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102002003131009) and next prime (102002003131037).

It is not a de Polignac number, because 102002003131023 - 212 = 102002003126927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102002003130987 and 102002003131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002003132023) 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, 21549411 + ... + 25853067.

It is an arithmetic number, because the mean of its divisors is an integer number (6288840754924).

Almost surely, 2102002003131023 is an apocalyptic number.

102002003131023 is a deficient number, since it is larger than the sum of its proper divisors (48930174987153).

102002003131023 is a wasteful number, since it uses less digits than its factorization.

102002003131023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367935 (or 4367932 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102002003131023 its reverse (320131300200201), we get a palindrome (422133303331224).

The spelling of 102002003131023 in words is "one hundred two trillion, two billion, three million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 3 9 41 123 369 64231 192693 578079 2633471 4303657 7900413 12910971 23701239 38732913 176449937 529349811 1588049433 276428192767 829284578301 2487853734903 11333555903447 34000667710341 102002003131023