Search a number
-
+
112041211104 = 2532974010639
BaseRepresentation
bin110100001011000101…
…1010011010011100000
3101201012100022020121100
41220112023103103200
53313430022223404
6123245423554400
711044325403144
oct1502613232340
9351170266540
10112041211104
1143575385239
121986a45ba00
13a747373124
1455cc329224
152dab3ead39
hex1a162d34e0

112041211104 has 72 divisors (see below), whose sum is σ = 321901987680. Its totient is φ = 36962039808.

The previous prime is 112041211091. The next prime is 112041211129. The reversal of 112041211104 is 401112140211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1977384 + ... + 2033255.

It is an arithmetic number, because the mean of its divisors is an integer number (4470860940).

Almost surely, 2112041211104 is an apocalyptic number.

It is an amenable number.

112041211104 is an abundant number, since it is smaller than the sum of its proper divisors (209860776576).

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

112041211104 is a wasteful number, since it uses less digits than its factorization.

112041211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010752 (or 4010741 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112041211104 its reverse (401112140211), we get a palindrome (513153351315).

The spelling of 112041211104 in words is "one hundred twelve billion, forty-one million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 4010639 8021278 12031917 16042556 24063834 32085112 36095751 48127668 64170224 72191502 96255336 128340448 144383004 192510672 288766008 385021344 389031983 577532016 778063966 1155064032 1167095949 1556127932 2334191898 3112255864 3501287847 4668383796 6224511728 7002575694 9336767592 12449023456 14005151388 18673535184 28010302776 37347070368 56020605552 112041211104