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112124123430 = 235111396074027
BaseRepresentation
bin110100001101100011…
…1100101100100100110
3101201102010022121221020
41220123013211210212
53314112233422210
6123301545032010
711046353216064
oct1503307454446
9351363277836
10112124123430
1143608165520
1219892185606
13a75b5b2c87
1455d934d034
152db3827770
hex1a1b1e5926

112124123430 has 128 divisors (see below), whose sum is σ = 296233943040. Its totient is φ = 26934906240.

The previous prime is 112124123413. The next prime is 112124123437. The reversal of 112124123430 is 34321421211.

112124123430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112124123430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112124123437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27841077 + ... + 27845103.

It is an arithmetic number, because the mean of its divisors is an integer number (2314327680).

Almost surely, 2112124123430 is an apocalyptic number.

112124123430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112124123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148116971520).

112124123430 is an abundant number, since it is smaller than the sum of its proper divisors (184109819610).

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

112124123430 is a wasteful number, since it uses less digits than its factorization.

112124123430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794.

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

Adding to 112124123430 its reverse (34321421211), we get a palindrome (146445544641).

The spelling of 112124123430 in words is "one hundred twelve billion, one hundred twenty-four million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 278 330 417 607 695 834 1214 1390 1529 1821 2085 3035 3058 3642 4027 4170 4587 6070 6677 7645 8054 9105 9174 12081 13354 15290 18210 20031 20135 22935 24162 33385 40062 40270 44297 45870 60405 66770 84373 88594 100155 120810 132891 168746 200310 221485 253119 265782 421865 442970 506238 559753 664455 843730 928103 1119506 1265595 1328910 1679259 1856206 2444389 2531190 2784309 2798765 3358518 4640515 4888778 5568618 5597530 6157283 7333167 8396295 9281030 12221945 12314566 13921545 14666334 16792590 18471849 24443890 26888279 27843090 30786415 36665835 36943698 53776558 61572830 73331670 80664837 92359245 134441395 161329674 184718490 268882790 339770071 403324185 679540142 806648370 1019310213 1698850355 2038620426 3397700710 3737470781 5096551065 7474941562 10193102130 11212412343 18687353905 22424824686 37374707810 56062061715 112124123430