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11231023100 = 22521146721863
BaseRepresentation
bin10100111010110101…
…11100111111111100
31001222201011002100112
422131122330333330
5141000120214400
65054235445152
7545213056403
oct123532747774
931881132315
1011231023100
11484368a980
1222152b67b8
13109ca544cb
1478784a63a
1545aec5835
hex29d6bcffc

11231023100 has 72 divisors (see below), whose sum is σ = 26645044608. Its totient is φ = 4075076800.

The previous prime is 11231023093. The next prime is 11231023129. The reversal of 11231023100 is 132013211.

It is a super-2 number, since 2×112310231002 (a number of 21 digits) contains 22 as substring.

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, 502769 + ... + 524631.

It is an arithmetic number, because the mean of its divisors is an integer number (370070064).

Almost surely, 211231023100 is an apocalyptic number.

11231023100 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 11231023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322522304).

11231023100 is an abundant number, since it is smaller than the sum of its proper divisors (15414021508).

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

11231023100 is a wasteful number, since it uses less digits than its factorization.

11231023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22355 (or 22348 counting only the distinct ones).

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

Adding to 11231023100 its reverse (132013211), we get a palindrome (11363036311).

The spelling of 11231023100 in words is "eleven billion, two hundred thirty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 467 550 934 1100 1868 2335 4670 5137 9340 10274 11675 20548 21863 23350 25685 43726 46700 51370 87452 102740 109315 128425 218630 240493 256850 437260 480986 513700 546575 961972 1093150 1202465 2186300 2404930 4809860 6012325 10210021 12024650 20420042 24049300 40840084 51050105 102100210 112310231 204200420 224620462 255250525 449240924 510501050 561551155 1021002100 1123102310 2246204620 2807755775 5615511550 11231023100