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1132223322320 = 245103889315451
BaseRepresentation
bin10000011110011101110…
…001001101100011010000
311000020110120221010221222
4100132131301031203100
5122022243132303240
62224045231104212
7144541356306446
oct20363561154320
94006416833858
101132223322320
113a719a603a92
12163523372068
13829ca9793bc
143cb2ad00b96
151e6b98a1eb5
hex1079dc4d8d0

1132223322320 has 80 divisors (see below), whose sum is σ = 2658447622272. Its totient is φ = 448412889600.

The previous prime is 1132223322313. The next prime is 1132223322337. The reversal of 1132223322320 is 232233222311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11322233223202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1132223322320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73270595 + ... + 73286045.

Almost surely, 21132223322320 is an apocalyptic number.

1132223322320 is a gapful number since it is divisible by the number (10) 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 1132223322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329223811136).

1132223322320 is an abundant number, since it is smaller than the sum of its proper divisors (1526224299952).

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

1132223322320 is a wasteful number, since it uses less digits than its factorization.

1132223322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24460 (or 24454 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1132223322320 its reverse (232233222311), we get a palindrome (1364456544631).

The spelling of 1132223322320 in words is "one trillion, one hundred thirty-two billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 8893 15451 17786 30902 35572 44465 61804 71144 77255 88930 123608 142288 154510 177860 247216 309020 355720 618040 711440 915979 1236080 1591453 1831958 3182906 3663916 4579895 6365812 7327832 7957265 9159790 12731624 14655664 15914530 18319580 25463248 31829060 36639160 63658120 73278320 127316240 137405743 274811486 549622972 687028715 1099245944 1374057430 2198491888 2748114860 5496229720 10992459440 14152791529 28305583058 56611166116 70763957645 113222332232 141527915290 226444664464 283055830580 566111661160 1132223322320