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112355121102 = 23767241165673
BaseRepresentation
bin110100010100011100…
…0110001011111001110
3101202000012222112011120
41220220320301133032
53320100402333402
6123340520101410
711055156525510
oct1505070613716
9352005875146
10112355121102
114371659a494
1219937604866
13a7974013a3
14561bcbdbb0
152dc8c563bc
hex1a28e317ce

112355121102 has 64 divisors (see below), whose sum is σ = 261727809024. Its totient is φ = 31490933760.

The previous prime is 112355121097. The next prime is 112355121103. The reversal of 112355121102 is 201121553211.

112355121102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112355121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595338 + ... + 761010.

It is an arithmetic number, because the mean of its divisors is an integer number (4089497016).

Almost surely, 2112355121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112355121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130863904512).

112355121102 is an abundant number, since it is smaller than the sum of its proper divisors (149372687922).

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

112355121102 is a wasteful number, since it uses less digits than its factorization.

112355121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165993.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 112355121102 its reverse (201121553211), we get a palindrome (313476674313).

The spelling of 112355121102 in words is "one hundred twelve billion, three hundred fifty-five million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 241 402 469 482 723 938 1407 1446 1687 2814 3374 5061 10122 16147 32294 48441 96882 113029 165673 226058 331346 339087 497019 678174 994038 1159711 2319422 3479133 6958266 11100091 22200182 33300273 39927193 66600546 77700637 79854386 119781579 155401274 233101911 239563158 279490351 466203822 558980702 838471053 1676942106 2675121931 5350243862 8025365793 16050731586 18725853517 37451707034 56177560551 112355121102