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11312103120 = 243567703489
BaseRepresentation
bin10101000100100000…
…01111111011010000
31002012100201101020020
422202100033323100
5141131344244440
65110253343440
7550216201323
oct124220177320
932170641206
1011312103120
11488542955a
122238497b80
1310b37a2356
147945147ba
1546318e3d0
hex2a240fed0

11312103120 has 80 divisors (see below), whose sum is σ = 35590966080. Its totient is φ = 2971533312.

The previous prime is 11312103113. The next prime is 11312103151. The reversal of 11312103120 is 2130121311.

It is a happy number.

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

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 11312103120.

It is a congruent number.

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, 335665 + ... + 367824.

It is an arithmetic number, because the mean of its divisors is an integer number (444887076).

Almost surely, 211312103120 is an apocalyptic number.

11312103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312103120 is an abundant number, since it is smaller than the sum of its proper divisors (24278862960).

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

11312103120 is a wasteful number, since it uses less digits than its factorization.

11312103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703572 (or 703566 counting only the distinct ones).

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

Adding to 11312103120 its reverse (2130121311), we get a palindrome (13442224431).

The spelling of 11312103120 in words is "eleven billion, three hundred twelve million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 703489 1406978 2110467 2813956 3517445 4220934 5627912 7034890 8441868 10552335 11255824 14069780 16883736 21104670 28139560 33767472 42209340 47133763 56279120 84418680 94267526 141401289 168837360 188535052 235668815 282802578 377070104 471337630 565605156 707006445 754140208 942675260 1131210312 1414012890 1885350520 2262420624 2828025780 3770701040 5656051560 11312103120