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1123032211092 = 2233112083453823
BaseRepresentation
bin10000010101111001111…
…011111001111010010100
310222100202001020022122000
4100111321323321322110
5121344432221223332
62215525221435300
7144064533202011
oct20257173717224
93870661208560
101123032211092
113a33034510a0
1216179926bb30
1381b9473494c
143c4d837c708
151e32ca24b7c
hex10579ef9e94

1123032211092 has 96 divisors (see below), whose sum is σ = 3177784565760. Its totient is φ = 340148665440.

The previous prime is 1123032211079. The next prime is 1123032211123. The reversal of 1123032211092 is 2901122303211.

1123032211092 is a `hidden beast` number, since 1 + 1 + 230 + 322 + 1 + 109 + 2 = 666.

It is a super-2 number, since 2×11230322110922 (a number of 25 digits) contains 22 as substring.

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

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, 2247693 + ... + 2701515.

It is an arithmetic number, because the mean of its divisors is an integer number (33101922560).

Almost surely, 21123032211092 is an apocalyptic number.

1123032211092 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 1123032211092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588892282880).

1123032211092 is an abundant number, since it is smaller than the sum of its proper divisors (2054752354668).

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

1123032211092 is a wasteful number, since it uses less digits than its factorization.

1123032211092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455930 (or 455922 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1123032211092 in words is "one trillion, one hundred twenty-three billion, thirty-two million, two hundred eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2083 4166 6249 8332 12498 18747 22913 24996 37494 45826 56241 68739 74988 91652 112482 137478 206217 224964 274956 412434 453823 618651 824868 907646 1237302 1361469 1815292 2474604 2722938 4084407 4992053 5445876 8168814 9984106 12253221 14976159 16337628 19968212 24506442 29952318 44928477 49012884 59904636 89856954 134785431 179713908 269570862 539141724 945313309 1890626618 2835939927 3781253236 5671879854 8507819781 10398446399 11343759708 17015639562 20796892798 25523459343 31195339197 34031279124 41593785596 51046918686 62390678394 93586017591 102093837372 124781356788 187172035182 280758052773 374344070364 561516105546 1123032211092