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13241101120 = 265133182957
BaseRepresentation
bin11000101010011101…
…10010101101000000
31021011210110122000121
430111032302231000
5204104210213440
610025522430024
7646061334232
oct142516625500
937153418017
1013241101120
115685290285
122696502314
131330319aa0
148d87aa252
155276c934a
hex3153b2b40

13241101120 has 56 divisors (see below), whose sum is σ = 33955795944. Its totient is φ = 4889020416.

The previous prime is 13241101099. The next prime is 13241101123. The reversal of 13241101120 is 2110114231.

It can be written as a sum of positive squares in 4 ways, for example, as 506430016 + 12734671104 = 22504^2 + 112848^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13241101094 and 13241101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1587319 + ... + 1595638.

It is an arithmetic number, because the mean of its divisors is an integer number (606353499).

Almost surely, 213241101120 is an apocalyptic number.

13241101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13241101120 is an abundant number, since it is smaller than the sum of its proper divisors (20714694824).

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

13241101120 is a wasteful number, since it uses less digits than its factorization.

13241101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182987 (or 3182977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13241101120 its reverse (2110114231), we get a palindrome (15351215351).

The spelling of 13241101120 in words is "thirteen billion, two hundred forty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 3182957 6365914 12731828 15914785 25463656 31829570 41378441 50927312 63659140 82756882 101854624 127318280 165513764 203709248 206892205 254636560 331027528 413784410 509273120 662055056 827568820 1018546240 1324110112 1655137640 2648220224 3310275280 6620550560 13241101120