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11310012320 = 2554710114891
BaseRepresentation
bin10101000100010000…
…10001011110100000
31002012012210011012012
422202020101132200
5141130330343240
65110140452052
7550162342565
oct124210213640
932165704165
1011310012320
114884230722
12223784a028
1310b321c7a9
1479412c86c
15462dc9b65
hex2a22117a0

11310012320 has 96 divisors (see below), whose sum is σ = 27560445696. Its totient is φ = 4383616000.

The previous prime is 11310012299. The next prime is 11310012323. The reversal of 11310012320 is 2321001311.

It is a junction number, because it is equal to n+sod(n) for n = 11310012295 and 11310012304.

It is not an unprimeable number, because it can be changed into a prime (11310012323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752075 + ... + 766965.

It is an arithmetic number, because the mean of its divisors is an integer number (287087976).

Almost surely, 211310012320 is an apocalyptic number.

11310012320 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 11310012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780222848).

11310012320 is an abundant number, since it is smaller than the sum of its proper divisors (16250433376).

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

11310012320 is a wasteful number, since it uses less digits than its factorization.

11310012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15054 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11310012320 its reverse (2321001311), we get a palindrome (13631013631).

The spelling of 11310012320 in words is "eleven billion, three hundred ten million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 101 160 188 202 235 376 404 470 505 752 808 940 1010 1504 1616 1880 2020 3232 3760 4040 4747 7520 8080 9494 14891 16160 18988 23735 29782 37976 47470 59564 74455 75952 94940 119128 148910 151904 189880 238256 297820 379760 476512 595640 699877 759520 1191280 1399754 1503991 2382560 2799508 3007982 3499385 5599016 6015964 6998770 7519955 11198032 12031928 13997540 15039910 22396064 24063856 27995080 30079820 48127712 55990160 60159640 70687577 111980320 120319280 141375154 240638560 282750308 353437885 565500616 706875770 1131001232 1413751540 2262002464 2827503080 5655006160 11310012320