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11312412220 = 22529532291607
BaseRepresentation
bin10101000100100010…
…11011011000111100
31002012101022002020101
422202101123120330
5141131434142340
65110304130444
7550221626434
oct124221333074
932171262211
1011312412220
11488561a80a
122238606a24
1310b387cc55
147945952c4
15463200c9a
hex2a245b63c

11312412220 has 96 divisors (see below), whose sum is σ = 25163913600. Its totient is φ = 4265124864.

The previous prime is 11312412203. The next prime is 11312412247. The reversal of 11312412220 is 2221421311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7038657 + ... + 7040263.

It is an arithmetic number, because the mean of its divisors is an integer number (262124100).

Almost surely, 211312412220 is an apocalyptic number.

11312412220 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 11312412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581956800).

11312412220 is an abundant number, since it is smaller than the sum of its proper divisors (13851501380).

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

11312412220 is a wasteful number, since it uses less digits than its factorization.

11312412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11312412220 its reverse (2221421311), we get a palindrome (13533833531).

Subtracting from 11312412220 its reverse (2221421311), we obtain a palindrome (9090990909).

The spelling of 11312412220 in words is "eleven billion, three hundred twelve million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 229 265 290 458 530 580 916 1060 1145 1537 1607 2290 3074 3214 4580 6148 6428 6641 7685 8035 12137 13282 15370 16070 24274 26564 30740 32140 33205 46603 48548 60685 66410 85171 93206 121370 132820 170342 186412 233015 242740 340684 351973 368003 425855 466030 703946 736006 851710 932060 1407892 1472012 1703420 1759865 1840015 2469959 3519730 3680030 4939918 7039460 7360060 9879836 10672087 12349795 19504159 21344174 24699590 39008318 42688348 49399180 53360435 78016636 97520795 106720870 195041590 213441740 390083180 565620611 1131241222 2262482444 2828103055 5656206110 11312412220