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112042002204 = 2232111773227989
BaseRepresentation
bin110100001011000111…
…0010100011100011100
3101201012101210102210100
41220112032110130130
53313430223032304
6123245452541100
711044335206436
oct1502616243434
9351171712710
10112042002204
1143575875640
121986a781790
13a74758c232
1455cc493656
152dab505439
hex1a1639471c

112042002204 has 144 divisors (see below), whose sum is σ = 331621486560. Its totient is φ = 31517061120.

The previous prime is 112042002197. The next prime is 112042002239. The reversal of 112042002204 is 402200240211.

112042002204 is a `hidden beast` number, since 1 + 1 + 20 + 420 + 0 + 220 + 4 = 666.

It is a super-2 number, since 2×1120420022042 (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377442 + ... + 605430.

It is an arithmetic number, because the mean of its divisors is an integer number (2302926990).

Almost surely, 2112042002204 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 112042002204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165810743280).

112042002204 is an abundant number, since it is smaller than the sum of its proper divisors (219579484356).

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

112042002204 is a wasteful number, since it uses less digits than its factorization.

112042002204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228100 (or 228095 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112042002204 its reverse (402200240211), we get a palindrome (514242242415).

The spelling of 112042002204 in words is "one hundred twelve billion, forty-two million, two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 73 99 102 132 146 153 187 198 204 219 292 306 374 396 438 561 612 657 748 803 876 1122 1241 1314 1606 1683 2244 2409 2482 2628 3212 3366 3723 4818 4964 6732 7227 7446 9636 11169 13651 14454 14892 22338 27302 28908 40953 44676 54604 81906 122859 163812 227989 245718 455978 491436 683967 911956 1367934 2051901 2507879 2735868 3875813 4103802 5015758 7523637 7751626 8207604 10031516 11627439 15047274 15503252 16643197 22570911 23254878 30094548 33286394 34882317 42633943 45141822 46509756 49929591 66572788 69764634 85267886 90283644 99859182 127901829 139529268 149788773 170535772 183075167 199718364 255803658 282934349 299577546 366150334 383705487 511607316 549225501 565868698 599155092 732300668 767410974 848803047 1098451002 1131737396 1534821948 1647676503 1697606094 2196902004 2546409141 3112277839 3295353006 3395212188 5092818282 6224555678 6590706012 9336833517 10185636564 12449111356 18673667034 28010500551 37347334068 56021001102 112042002204