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112033231020 = 223251755765731
BaseRepresentation
bin110100001010110110…
…0110111000010101100
3101201011210021210222200
41220111230313002230
53313421001343040
6123244540541500
711044200515454
oct1502554670254
9351153253880
10112033231020
1143570924727
1219867851890
13a74580aa99
1455cb24cd64
152daa871630
hex1a15b370ac

112033231020 has 144 divisors (see below), whose sum is σ = 360475865568. Its totient is φ = 28067235840.

The previous prime is 112033230997. The next prime is 112033231069. The reversal of 112033231020 is 20132330211.

112033231020 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 332 + 310 + 20 = 666.

112033231020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 112033230984 and 112033231002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671555 + ... + 1737285.

It is an arithmetic number, because the mean of its divisors is an integer number (2503304622).

Almost surely, 2112033231020 is an apocalyptic number.

112033231020 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 112033231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180237932784).

112033231020 is an abundant number, since it is smaller than the sum of its proper divisors (248442634548).

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

112033231020 is a wasteful number, since it uses less digits than its factorization.

112033231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66320 (or 66315 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112033231020 its reverse (20132330211), we get a palindrome (132165561231).

The spelling of 112033231020 in words is "one hundred twelve billion, thirty-three million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 557 612 765 1020 1114 1530 1671 2228 2785 3060 3342 5013 5570 6684 8355 9469 10026 11140 16710 18938 20052 25065 28407 33420 37876 47345 50130 56814 65731 85221 94690 100260 113628 131462 142035 170442 189380 197193 262924 284070 328655 340884 394386 426105 568140 591579 657310 788772 852210 985965 1117427 1183158 1314620 1704420 1971930 2234854 2366316 2957895 3352281 3943860 4469708 5587135 5915790 6704562 10056843 11174270 11831580 13409124 16761405 20113686 22348540 33522810 36612167 40227372 50284215 67045620 73224334 100568430 109836501 146448668 183060835 201136860 219673002 329509503 366121670 439346004 549182505 622406839 659019006 732243340 1098365010 1244813678 1318038012 1647547515 1867220517 2196730020 2489627356 3112034195 3295095030 3734441034 5601661551 6224068390 6590190060 7468882068 9336102585 11203323102 12448136780 18672205170 22406646204 28008307755 37344410340 56016615510 112033231020