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113034144120 = 233519353140443
BaseRepresentation
bin110100101000101011…
…1000010100101111000
3101210202112200110122020
41221101113002211320
53322443220102440
6123532133554440
711111043241452
oct1512127024570
9353675613566
10113034144120
1143a34911537
1219aa6aa5a20
13a874ca7761
1456841572d2
152e186833d0
hex1a515c2978

113034144120 has 128 divisors (see below), whose sum is σ = 357963667200. Its totient is φ = 28474896384.

The previous prime is 113034144089. The next prime is 113034144121. The reversal of 113034144120 is 21441430311.

113034144120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113034144121) 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 31 ways as a sum of consecutive naturals, for example, 734619 + ... + 875061.

It is an arithmetic number, because the mean of its divisors is an integer number (2796591150).

Almost surely, 2113034144120 is an apocalyptic number.

113034144120 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 113034144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178981833600).

113034144120 is an abundant number, since it is smaller than the sum of its proper divisors (244929523080).

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

113034144120 is a wasteful number, since it uses less digits than its factorization.

113034144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140829 (or 140825 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113034144120 its reverse (21441430311), we get a palindrome (134475574431).

The spelling of 113034144120 in words is "one hundred thirteen billion, thirty-four million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 353 380 456 570 706 760 1059 1140 1412 1765 2118 2280 2824 3530 4236 5295 6707 7060 8472 10590 13414 14120 20121 21180 26828 33535 40242 42360 53656 67070 80484 100605 134140 140443 160968 201210 268280 280886 402420 421329 561772 702215 804840 842658 1123544 1404430 1685316 2106645 2668417 2808860 3370632 4213290 5336834 5617720 8005251 8426580 10673668 13342085 16010502 16853160 21347336 26684170 32021004 40026255 49576379 53368340 64042008 80052510 99152758 106736680 148729137 160105020 198305516 247881895 297458274 320210040 396611032 495763790 594916548 743645685 941951201 991527580 1189833096 1487291370 1883902402 1983055160 2825853603 2974582740 3767804804 4709756005 5651707206 5949165480 7535609608 9419512010 11303414412 14129268015 18839024020 22606828824 28258536030 37678048040 56517072060 113034144120