Search a number
-
+
112377402324 = 223311225142023
BaseRepresentation
bin110100010101000110…
…1110001001111010100
3101202001202220112021000
41220222031301033110
53320122103333244
6123343033423300
711055550105365
oct1505215611724
9352052815230
10112377402324
1143728128720
1219942b6ab30
13a79bc02c45
145620c3db6c
152dcaba8169
hex1a2a3713d4

112377402324 has 96 divisors (see below), whose sum is σ = 317983841280. Its totient is φ = 34037820000.

The previous prime is 112377402307. The next prime is 112377402329. The reversal of 112377402324 is 423204773211.

112377402324 is a `hidden beast` number, since 1 + 12 + 377 + 40 + 232 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112377402329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653177 + ... + 2695199.

It is an arithmetic number, because the mean of its divisors is an integer number (3312331680).

Almost surely, 2112377402324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112377402324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158991920640).

112377402324 is an abundant number, since it is smaller than the sum of its proper divisors (205606438956).

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

112377402324 is a wasteful number, since it uses less digits than its factorization.

112377402324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44298 (or 44290 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 112377402324 in words is "one hundred twelve billion, three hundred seventy-seven million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2251 4502 6753 9004 13506 20259 24761 27012 40518 42023 49522 60777 74283 81036 84046 99044 121554 126069 148566 168092 222849 243108 252138 297132 378207 445698 462253 504276 668547 756414 891396 924506 1134621 1337094 1386759 1512828 1849012 2269242 2674188 2773518 4160277 4538484 5547036 8320554 12480831 16641108 24961662 49923324 94593773 189187546 283781319 378375092 567562638 851343957 1040531503 1135125276 1702687914 2081063006 2554031871 3121594509 3405375828 4162126012 5108063742 6243189018 9364783527 10216127484 12486378036 18729567054 28094350581 37459134108 56188701162 112377402324