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13100021020130 = 25112233115184381
BaseRepresentation
bin1011111010100001011000…
…0110010111010111100010
31201101100102222200210201112
42332220112012113113202
53204112320340121010
643510022214103322
72521305506265152
oct276502606272742
951340388623645
1013100021020130
1141a0762392600
121576a5664ab42
137404329476b5
14334089b98762
1517ab65674a05
hexbea161975e2

13100021020130 has 96 divisors (see below), whose sum is σ = 27917883270144. Its totient is φ = 4409543952000.

The previous prime is 13100021020123. The next prime is 13100021020139. The reversal of 13100021020130 is 3102012000131.

It is a super-2 number, since 2×131000210201302 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100021020139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6729461 + ... + 8454920.

It is an arithmetic number, because the mean of its divisors is an integer number (290811284064).

Almost surely, 213100021020130 is an apocalyptic number.

13100021020130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13100021020130 is an abundant number, since it is smaller than the sum of its proper divisors (14817862250014).

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

13100021020130 is a wasteful number, since it uses less digits than its factorization.

13100021020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15184464 (or 15184453 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13100021020130 its reverse (3102012000131), we get a palindrome (16202033020261).

The spelling of 13100021020130 in words is "thirteen trillion, one hundred billion, twenty-one million, twenty thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 23 31 46 55 62 110 115 121 155 230 242 253 310 341 506 605 682 713 1210 1265 1426 1705 2530 2783 3410 3565 3751 5566 7130 7502 7843 13915 15686 18755 27830 37510 39215 78430 86273 172546 431365 862730 15184381 30368762 75921905 151843810 167028191 334056382 349240763 470715811 698481526 835140955 941431622 1670281910 1746203815 1837310101 2353579055 3492407630 3674620202 3841648393 4707158110 5177873921 7683296786 9186550505 10355747842 10826463653 18373101010 19208241965 21652927306 25889369605 38416483930 42258132323 51778739210 54132318265 56956613131 84516264646 108264636530 113913226262 119091100183 211290661615 238182200366 284783065655 422581323230 569566131310 595455500915 1190911001830 1310002102013 2620004204026 6550010510065 13100021020130