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1102012120 = 2351122910937
BaseRepresentation
bin100000110101111…
…0101111011011000
32211210122000102201
41001223311323120
54224103341440
6301203535544
736210643216
oct10153657330
92753560381
101102012120
1151606a020
1226908a5b4
131474067a1
14a6503cb6
1566b3219a
hex41af5ed8

1102012120 has 64 divisors (see below), whose sum is σ = 2716999200. Its totient is φ = 398945280.

The previous prime is 1102012069. The next prime is 1102012129. The reversal of 1102012120 is 212102011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1102012097 and 1102012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95292 + ... + 106228.

Almost surely, 21102012120 is an apocalyptic number.

1102012120 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 1102012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358499600).

1102012120 is an abundant number, since it is smaller than the sum of its proper divisors (1614987080).

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

1102012120 is a wasteful number, since it uses less digits than its factorization.

1102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1102012120 is about 33196.5678948894. The cubic root of 1102012120 is about 1032.9091476660.

Adding to 1102012120 its reverse (212102011), we get a palindrome (1314114131).

The spelling of 1102012120 in words is "one billion, one hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 229 440 458 916 1145 1832 2290 2519 4580 5038 9160 10076 10937 12595 20152 21874 25190 43748 50380 54685 87496 100760 109370 120307 218740 240614 437480 481228 601535 962456 1203070 2406140 2504573 4812280 5009146 10018292 12522865 20036584 25045730 27550303 50091460 55100606 100182920 110201212 137751515 220402424 275503030 551006060 1102012120