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130233002131233 = 3317614651344767
BaseRepresentation
bin11101100111001000111011…
…110101000111111100100001
3122002010011010211121221111000
4131213020323311013330201
5114032214142021144413
61140552114254142213
736301011125144511
oct3547107365077441
9562104124557430
10130233002131233
1138550562599051
1212734040ab1969
135788bc4c18a61
14242344d2c7841
15100c9d4eac073
hex76723bd47f21

130233002131233 has 32 divisors (see below), whose sum is σ = 207636030443520. Its totient is φ = 80375237556480.

The previous prime is 130233002131223. The next prime is 130233002131241. The reversal of 130233002131233 is 332131200332031.

130233002131233 is a `hidden beast` number, since 1 + 3 + 0 + 23 + 300 + 21 + 312 + 3 + 3 = 666.

It is not a de Polignac number, because 130233002131233 - 24 = 130233002131217 is a prime.

It is a super-2 number, since 2×1302330021312332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130233002131197 and 130233002131206.

It is not an unprimeable number, because it can be changed into a prime (130233002131213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2325644385 + ... + 2325700382.

It is an arithmetic number, because the mean of its divisors is an integer number (6488625951360).

Almost surely, 2130233002131233 is an apocalyptic number.

It is an amenable number.

130233002131233 is a deficient number, since it is larger than the sum of its proper divisors (77403028312287).

130233002131233 is a wasteful number, since it uses less digits than its factorization.

130233002131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651344854 (or 4651344848 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130233002131233 its reverse (332131200332031), we get a palindrome (462364202463264).

The spelling of 130233002131233 in words is "one hundred thirty trillion, two hundred thirty-three billion, two million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 17 27 51 61 153 183 459 549 1037 1647 3111 9333 27999 4651344767 13954034301 41862102903 79072861039 125586308709 237218583117 283732030787 711655749351 851196092361 2134967248053 2553588277083 4823444523379 7660764831249 14470333570137 43411000710411 130233002131233