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112330133033304 = 233173471423557573
BaseRepresentation
bin11001100010100111100101…
…101011010101000101011000
3112201201122201002221100120210
4121202213211223111011120
5104210404103024031204
61034523430053251120
732442404261512314
oct3142474553250530
9481648632840523
10112330133033304
1132878a3a72518a
12107223ba333aa0
134a8a8bc467844
141da4b438cab44
15cebe70505389
hex6629e5ad5158

112330133033304 has 128 divisors (see below), whose sum is σ = 298411463715840. Its totient is φ = 35114510702592.

The previous prime is 112330133033291. The next prime is 112330133033323. The reversal of 112330133033304 is 403330331033211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 201183862 + ... + 201741434.

It is an arithmetic number, because the mean of its divisors is an integer number (2331339560280).

Almost surely, 2112330133033304 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 112330133033304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149205731857920).

112330133033304 is an abundant number, since it is smaller than the sum of its proper divisors (186081330682536).

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

112330133033304 is a wasteful number, since it uses less digits than its factorization.

112330133033304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559369 (or 559365 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 112330133033304 its reverse (403330331033211), we get a palindrome (515660464066515).

The spelling of 112330133033304 in words is "one hundred twelve trillion, three hundred thirty billion, one hundred thirty-three million, thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 347 408 694 1041 1388 1423 2082 2776 2846 4164 4269 5692 5899 8328 8538 11384 11798 17076 17697 23596 24191 34152 35394 47192 48382 70788 72573 96764 141576 145146 193528 290292 493781 557573 580584 987562 1115146 1481343 1672719 1975124 2230292 2962686 3345438 3950248 4460584 5925372 6690876 8394277 9478741 11850744 13381752 16788554 18957482 25182831 28436223 33577108 37914964 50365662 56872446 67154216 75829928 100731324 113744892 193477831 201462648 227489784 386955662 580433493 773911324 793426379 1160866986 1547822648 1586852758 2321733972 2380279137 3173705516 3289123127 4643467944 4760558274 6347411032 6578246254 9521116548 9867369381 13156492508 13488248443 19042233096 19734738762 26312985016 26976496886 39469477524 40464745329 53952993772 78938955048 80929490658 107905987544 161858981316 275318953513 323717962632 550637907026 825956860539 1101275814052 1651913721078 2202551628104 3303827442156 4680422209721 6607654884312 9360844419442 14041266629163 18721688838884 28082533258326 37443377677768 56165066516652 112330133033304