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112541252406 = 23118919159219
BaseRepresentation
bin110100011001111111…
…0110011101100110110
3101202111012012222022120
41220303332303230312
53320441030034111
6123411205340410
711062606601412
oct1506376635466
9352435188276
10112541252406
114380166a710
1219989a07706
13a7c6b40c5b
1456388d1d42
152dda271406
hex1a33fb3b36

112541252406 has 32 divisors (see below), whose sum is σ = 248303491200. Its totient is φ = 33720223680.

The previous prime is 112541252401. The next prime is 112541252443. The reversal of 112541252406 is 604252145211.

It is a happy number.

It is a super-2 number, since 2×1125412524062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112541252401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9573736 + ... + 9585483.

It is an arithmetic number, because the mean of its divisors is an integer number (7759484100).

Almost surely, 2112541252406 is an apocalyptic number.

112541252406 is an abundant number, since it is smaller than the sum of its proper divisors (135762238794).

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

112541252406 is a wasteful number, since it uses less digits than its factorization.

112541252406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19159324.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 112541252406 its reverse (604252145211), we get a palindrome (716793397617).

The spelling of 112541252406 in words is "one hundred twelve billion, five hundred forty-one million, two hundred fifty-two thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 979 1958 2937 5874 19159219 38318438 57477657 114955314 210751409 421502818 632254227 1264508454 1705170491 3410340982 5115511473 10231022946 18756875401 37513750802 56270626203 112541252406