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2302145134101 = 32298820479441
BaseRepresentation
bin100001100000000010100…
…010101111111000010101
322011002020110012222111100
4201200002202233320111
5300204243123242401
64521331343500313
7325216205524611
oct41400242577025
98132213188440
102302145134101
11808374a0308a
123122078b7699
131391259244a7
147d5d286a341
153ed3db6bb86
hex218028afe15

2302145134101 has 12 divisors (see below), whose sum is σ = 3439986982380. Its totient is φ = 1481840545920.

The previous prime is 2302145134067. The next prime is 2302145134103. The reversal of 2302145134101 is 1014315412032.

2302145134101 is a `hidden beast` number, since 2 + 30 + 2 + 14 + 513 + 4 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1777062294225 + 525082839876 = 1333065^2 + 724626^2 .

It is not a de Polignac number, because 2302145134101 - 219 = 2302144609813 is a prime.

It is a super-2 number, since 2×23021451341012 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302145134103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4410239460 + ... + 4410239981.

It is an arithmetic number, because the mean of its divisors is an integer number (286665581865).

Almost surely, 22302145134101 is an apocalyptic number.

It is an amenable number.

2302145134101 is a deficient number, since it is larger than the sum of its proper divisors (1137841848279).

2302145134101 is a wasteful number, since it uses less digits than its factorization.

2302145134101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8820479476 (or 8820479473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 2302145134101 in words is "two trillion, three hundred two billion, one hundred forty-five million, one hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 29 87 261 8820479441 26461438323 79384314969 255793903789 767381711367 2302145134101