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112012002102 = 237111383224699
BaseRepresentation
bin110100001010001101…
…1111000001100110110
3101201010022100021101110
41220110123320030312
53313400033031402
6123242501535450
711043522210540
oct1502433701466
9351108307343
10112012002102
114355a945070
1219860714586
13a7412b71b0
1455c84c4690
152da8a7b56c
hex1a146f8336

112012002102 has 128 divisors (see below), whose sum is σ = 304412774400. Its totient is φ = 26532339840.

The previous prime is 112012002077. The next prime is 112012002103. The reversal of 112012002102 is 201200210211.

It is a super-2 number, since 2×1120120021022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012002103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386149 + ... + 610847.

It is an arithmetic number, because the mean of its divisors is an integer number (2378224800).

Almost surely, 2112012002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112012002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152206387200).

112012002102 is an abundant number, since it is smaller than the sum of its proper divisors (192400772298).

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

112012002102 is a wasteful number, since it uses less digits than its factorization.

112012002102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224818.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112012002102 its reverse (201200210211), we get a palindrome (313212212313).

It can be divided in two parts, 11 and 2012002102, that multiplied together give a palindrome (22132023122).

The spelling of 112012002102 in words is "one hundred twelve billion, twelve million, two thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 83 91 143 154 166 182 231 249 273 286 429 462 498 546 581 858 913 1001 1079 1162 1743 1826 2002 2158 2739 3003 3237 3486 5478 6006 6391 6474 7553 11869 12782 15106 19173 22659 23738 35607 38346 45318 71214 83083 166166 224699 249249 449398 498498 674097 1348194 1572893 2471689 2921087 3145786 4718679 4943378 5842174 7415067 8763261 9437358 14830134 17301823 17526522 18650017 20447609 32131957 34603646 37300034 40895218 51905469 55950051 61342827 64263914 96395871 103810938 111900102 122685654 130550119 192791742 205150187 224923699 242450221 261100238 391650357 410300374 449847398 484900442 615450561 674771097 727350663 783300714 1230901122 1349542194 1436051309 1454701326 1697151547 2666952431 2872102618 3394303094 4308153927 5091454641 5333904862 8000857293 8616307854 10182909282 16001714586 18668667017 37337334034 56006001051 112012002102