Search a number
-
+
10302232213134 = 23528729737861
BaseRepresentation
bin1001010111101010110011…
…1001000011011010001110
31100110212212021110110100000
42111322230321003122032
52322242432421310014
633524440302145130
72112211626642651
oct225725471033216
940425767413300
1010302232213134
113312174562064
1211a47848821a6
1359965b586bb4
142788b88d5898
1512ceb8583509
hex95eace4368e

10302232213134 has 48 divisors (see below), whose sum is σ = 23149062583920. Its totient is φ = 3433953216960.

The previous prime is 10302232213109. The next prime is 10302232213171. The reversal of 10302232213134 is 43131223220301.

10302232213134 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 22 + 322 + 1 + 313 + 4 = 666.

It is a super-2 number, since 2×103022322131342 (a number of 27 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 = 10302232213098 and 10302232213107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13593364 + ... + 14331224.

It is an arithmetic number, because the mean of its divisors is an integer number (482272137165).

Almost surely, 210302232213134 is an apocalyptic number.

10302232213134 is an abundant number, since it is smaller than the sum of its proper divisors (12846830370786).

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

10302232213134 is an equidigital number, since it uses as much as digits as its factorization.

10302232213134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766607 (or 766595 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10302232213134 its reverse (43131223220301), we get a palindrome (53433455433435).

The spelling of 10302232213134 in words is "ten trillion, three hundred two billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 28729 57458 86187 172374 258561 517122 737861 775683 1475722 1551366 2213583 2327049 4427166 4654098 6640749 6981147 13281498 13962294 19922247 39844494 59766741 119533482 179300223 358600446 21198008669 42396017338 63594026007 127188052014 190782078021 381564156042 572346234063 1144692468126 1717038702189 3434077404378 5151116106567 10302232213134