Search a number
-
+
1122000002192 = 24294158978133
BaseRepresentation
bin10000010100111100011…
…010010101110010010000
310222021002002221200012202
4100110330122111302100
5121340324000032232
62215234545542332
7144030130442426
oct20247432256220
93867062850182
101122000002192
113a2923829293
1216154b6449a8
1381a5b92b254
143c43b249116
151e2bc0d0162
hex1053c695c90

1122000002192 has 40 divisors (see below), whose sum is σ = 2303685914040. Its totient is φ = 528444062720.

The previous prime is 1122000002173. The next prime is 1122000002197. The reversal of 1122000002192 is 2912000002211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33909012736 + 1088090989456 = 184144^2 + 1043116^2 .

It is not an unprimeable number, because it can be changed into a prime (1122000002197) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29470043 + ... + 29508090.

It is an arithmetic number, because the mean of its divisors is an integer number (57592147851).

Almost surely, 21122000002192 is an apocalyptic number.

It is an amenable number.

1122000002192 is an abundant number, since it is smaller than the sum of its proper divisors (1181685911848).

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

1122000002192 is a wasteful number, since it uses less digits than its factorization.

1122000002192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58978211 (or 58978205 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1122000002192 in words is "one trillion, one hundred twenty-two billion, two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 19024 58978133 117956266 235912532 471825064 943650128 1710365857 2418103453 3420731714 4836206906 6841463428 9672413812 13682926856 19344827624 27365853712 38689655248 70125000137 140250000274 280500000548 561000001096 1122000002192