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10000130123232 = 2532147123604809
BaseRepresentation
bin1001000110000101011000…
…1101000010010111100000
31022102000002021002012100100
42101201112031002113200
52302320231302420412
633133555114022400
72051325355360314
oct221412615022740
938360067065310
1010000130123232
11320603882a587
121156113417a00
135770150b8112
1426801a521b44
151251d6597edc
hex918563425e0

10000130123232 has 72 divisors (see below), whose sum is σ = 28457203582080. Its totient is φ = 3331110504960.

The previous prime is 10000130123189. The next prime is 10000130123237. The reversal of 10000130123232 is 23232103100001.

10000130123232 is a `hidden beast` number, since 100 + 0 + 0 + 1 + 301 + 232 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×100001301232322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000130123237) 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, 11378757 + ... + 12226052.

It is an arithmetic number, because the mean of its divisors is an integer number (395238938640).

Almost surely, 210000130123232 is an apocalyptic number.

10000130123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000130123232 is an abundant number, since it is smaller than the sum of its proper divisors (18457073458848).

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

10000130123232 is a wasteful number, since it uses less digits than its factorization.

10000130123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23606296 (or 23606285 counting only the distinct ones).

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

Adding to 10000130123232 its reverse (23232103100001), we get a palindrome (33232233223233).

The spelling of 10000130123232 in words is "ten trillion, one hundred thirty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1471 2942 4413 5884 8826 11768 13239 17652 23536 26478 35304 47072 52956 70608 105912 141216 211824 423648 23604809 47209618 70814427 94419236 141628854 188838472 212443281 283257708 377676944 424886562 566515416 755353888 849773124 1133030832 1699546248 2266061664 3399092496 6798184992 34722674039 69445348078 104168022117 138890696156 208336044234 277781392312 312504066351 416672088468 555562784624 625008132702 833344176936 1111125569248 1250016265404 1666688353872 2500032530808 3333376707744 5000065061616 10000130123232