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11412103120 = 24511101128399
BaseRepresentation
bin10101010000011011…
…01101111111010000
31002110022212220102221
422220031231333100
5141332444244440
65124224550424
7552542163445
oct125015557720
932408786387
1011412103120
11492691aa90
122265a82414
1310cb415b52
147a39059cc
1546bd43d4a
hex2a836dfd0

11412103120 has 80 divisors (see below), whose sum is σ = 29232057600. Its totient is φ = 4108736000.

The previous prime is 11412103117. The next prime is 11412103141. The reversal of 11412103120 is 2130121411.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 11412103094 and 11412103103.

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, 24681 + ... + 153079.

It is an arithmetic number, because the mean of its divisors is an integer number (365400720).

Almost surely, 211412103120 is an apocalyptic number.

11412103120 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 11412103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616028800).

11412103120 is an abundant number, since it is smaller than the sum of its proper divisors (17819954480).

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

11412103120 is a wasteful number, since it uses less digits than its factorization.

11412103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128524 (or 128518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11412103120 its reverse (2130121411), we get a palindrome (13542224531).

The spelling of 11412103120 in words is "eleven billion, four hundred twelve million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 128399 256798 513596 641995 1027192 1283990 1412389 2054384 2567980 2824778 5135960 5649556 7061945 10271920 11299112 12968299 14123890 22598224 25936598 28247780 51873196 56495560 64841495 103746392 112991120 129682990 142651289 207492784 259365980 285302578 518731960 570605156 713256445 1037463920 1141210312 1426512890 2282420624 2853025780 5706051560 11412103120