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11342322320 = 2457115117597
BaseRepresentation
bin10101001000000111…
…00001101010010000
31002021110120200011212
422210003201222100
5141212113303240
65113253155252
7551034102050
oct124403415220
932243520155
1011342322320
1148a04996aa
12224662bb28
1310b9b23034
1479853d560
15465b5d165
hex2a40e1a90

11342322320 has 80 divisors (see below), whose sum is σ = 30166069248. Its totient is φ = 3885196800.

The previous prime is 11342322317. The next prime is 11342322337. The reversal of 11342322320 is 2322324311.

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

It is a super-2 number, since 2×113423223202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635762 + ... + 653358.

Almost surely, 211342322320 is an apocalyptic number.

11342322320 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 11342322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083034624).

11342322320 is an abundant number, since it is smaller than the sum of its proper divisors (18823746928).

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

11342322320 is a wasteful number, since it uses less digits than its factorization.

11342322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18768 (or 18762 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 11342322320 its reverse (2322324311), we get a palindrome (13664646631).

The spelling of 11342322320 in words is "eleven billion, three hundred forty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1151 2302 4604 5755 8057 9208 11510 16114 17597 18416 23020 32228 35194 40285 46040 64456 70388 80570 87985 92080 123179 128912 140776 161140 175970 246358 281552 322280 351940 492716 615895 644560 703880 985432 1231790 1407760 1970864 2463580 4927160 9854320 20254147 40508294 81016588 101270735 141779029 162033176 202541470 283558058 324066352 405082940 567116116 708895145 810165880 1134232232 1417790290 1620331760 2268464464 2835580580 5671161160 11342322320