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11210331120 = 243561212553
BaseRepresentation
bin10100111000011000…
…00001001111110000
31001221021012211021220
422130030001033300
5140424321043440
65052220145040
7544542146052
oct123414011760
931837184256
1011210331120
114832a3776a
12220a398180
13109868b131
14784bc18d2
154592898d0
hex29c3013f0

11210331120 has 120 divisors (see below), whose sum is σ = 35333885808. Its totient is φ = 2940180480.

The previous prime is 11210331107. The next prime is 11210331133. The reversal of 11210331120 is 2113301211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11210331107) and next prime (11210331133).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11210331120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886764 + ... + 899316.

Almost surely, 211210331120 is an apocalyptic number.

11210331120 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 11210331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666942904).

11210331120 is an abundant number, since it is smaller than the sum of its proper divisors (24123554688).

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

11210331120 is a wasteful number, since it uses less digits than its factorization.

11210331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691 (or 12624 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11210331120 its reverse (2113301211), we get a palindrome (13323632331).

The spelling of 11210331120 in words is "eleven billion, two hundred ten million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 3721 4880 7320 7442 11163 12553 14640 14884 18605 22326 25106 29768 37210 37659 44652 50212 55815 59536 62765 74420 75318 89304 100424 111630 125530 148840 150636 178608 188295 200848 223260 251060 297680 301272 376590 446520 502120 602544 753180 765733 893040 1004240 1506360 1531466 2297199 3012720 3062932 3828665 4594398 6125864 7657330 9188796 11485995 12251728 15314660 18377592 22971990 30629320 36755184 45943980 46709713 61258640 91887960 93419426 140129139 183775920 186838852 233548565 280258278 373677704 467097130 560516556 700645695 747355408 934194260 1121033112 1401291390 1868388520 2242066224 2802582780 3736777040 5605165560 11210331120