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13021113100 = 22522917412579
BaseRepresentation
bin11000010000001111…
…00110101100001100
31020121110112002012011
430020013212230030
5203131401104400
65552023351004
7640450430602
oct141007465414
936543462164
1013021113100
115582095aa6
1226348b2464
1312c6884968
148b74a3872
155132228ba
hex3081e6b0c

13021113100 has 72 divisors (see below), whose sum is σ = 29258283600. Its totient is φ = 5024006400.

The previous prime is 13021113067. The next prime is 13021113101. The reversal of 13021113100 is 131112031.

It is a super-2 number, since 2×130211131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13021113101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5047611 + ... + 5050189.

It is an arithmetic number, because the mean of its divisors is an integer number (406365050).

Almost surely, 213021113100 is an apocalyptic number.

13021113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629141800).

13021113100 is an abundant number, since it is smaller than the sum of its proper divisors (16237170500).

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

13021113100 is a wasteful number, since it uses less digits than its factorization.

13021113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13021113100 its reverse (131112031), we get a palindrome (13152225131).

The spelling of 13021113100 in words is "thirteen billion, twenty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 1741 2579 2900 3482 5158 6964 8705 10316 12895 17410 25790 34820 43525 50489 51580 64475 74791 87050 100978 128950 149582 174100 201956 252445 257900 299164 373955 504890 747910 1009780 1262225 1495820 1869775 2524450 3739550 4490039 5048900 7479100 8980078 17960156 22450195 44900390 89800780 112250975 130211131 224501950 260422262 449003900 520844524 651055655 1302111310 2604222620 3255278275 6510556550 13021113100