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103311120 = 24351139133
BaseRepresentation
bin1100010100001…
…10011100010000
321012101202012210
412022012130100
5202421423440
614130152120
72363062413
oct612063420
9235352183
10103311120
11533531a0
122a722640
1318532953
14da13b7a
15910aa80
hex6286710

103311120 has 80 divisors (see below), whose sum is σ = 349388352. Its totient is φ = 25044480.

The previous prime is 103311083. The next prime is 103311139. The reversal of 103311120 is 21113301.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 103311096 and 103311105.

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, 16927 + ... + 22206.

Almost surely, 2103311120 is an apocalyptic number.

103311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103311120 is an abundant number, since it is smaller than the sum of its proper divisors (246077232).

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

103311120 is a wasteful number, since it uses less digits than its factorization.

103311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39160 (or 39154 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 103311120 is about 10164.2077900838. The cubic root of 103311120 is about 469.2263112194.

Adding to 103311120 its reverse (21113301), we get a palindrome (124424421).

The spelling of 103311120 in words is "one hundred three million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 39133 78266 117399 156532 195665 234798 313064 391330 430463 469596 586995 626128 782660 860926 939192 1173990 1291389 1565320 1721852 1878384 2152315 2347980 2582778 3130640 3443704 4304630 4695960 5165556 6456945 6887408 8609260 9391920 10331112 12913890 17218520 20662224 25827780 34437040 51655560 103311120