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1113692112 = 243313316397
BaseRepresentation
bin100001001100001…
…1001011111010000
32212121121102101000
41002120121133100
54240101121422
6302302142000
736412140531
oct10230313720
92777542330
101113692112
11521717405
12270b81900
13149965c20
14a7ca4688
1567b8ccac
hex426197d0

1113692112 has 160 divisors (see below), whose sum is σ = 3554216960. Its totient is φ = 331568640.

The previous prime is 1113692101. The next prime is 1113692113. The reversal of 1113692112 is 2112963111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113692113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170898 + ... + 177294.

It is an arithmetic number, because the mean of its divisors is an integer number (22213856).

Almost surely, 21113692112 is an apocalyptic number.

1113692112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113692112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777108480).

1113692112 is an abundant number, since it is smaller than the sum of its proper divisors (2440524848).

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

1113692112 is a wasteful number, since it uses less digits than its factorization.

1113692112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6446 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 1113692112 is about 33372.0258899576. The cubic root of 1113692112 is about 1036.5455254664.

The spelling of 1113692112 in words is "one billion, one hundred thirteen million, six hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6397 6448 6696 7254 9672 10881 12794 13392 14508 19191 19344 21762 25588 29016 38382 43524 51176 57573 58032 76764 83161 87048 102352 115146 153528 166322 172719 174096 198307 230292 249483 307056 332644 345438 396614 460584 498966 594921 665288 690876 748449 793228 921168 997932 1189842 1330576 1381752 1496898 1586456 1784763 1995864 2245347 2379684 2577991 2763504 2993796 3172912 3569526 3991728 4490694 4759368 5155982 5354289 5987592 7139052 7733973 8981388 9518736 10311964 10708578 11975184 14278104 15467946 17962776 20623928 21417156 23201919 28556208 30935892 35925552 41247856 42834312 46403838 61871784 69605757 85668624 92807676 123743568 139211514 185615352 278423028 371230704 556846056 1113692112