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11204131120 = 2457131539029
BaseRepresentation
bin10100110111101000…
…10111100100110000
31001220211112211111021
422123310113210300
5140421224143440
65051435225224
7544435354210
oct123364274460
931824484437
1011204131120
11482a4925a6
1222082a8214
1310972ca0b0
1478404a240
1545896284a
hex29bd17930

11204131120 has 80 divisors (see below), whose sum is σ = 32061072960. Its totient is φ = 3545920512.

The previous prime is 11204131067. The next prime is 11204131181. The reversal of 11204131120 is 2113140211.

11204131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11204131094 and 11204131103.

It is an unprimeable number.

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, 762235 + ... + 776794.

It is an arithmetic number, because the mean of its divisors is an integer number (400763412).

Almost surely, 211204131120 is an apocalyptic number.

11204131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11204131120 is an abundant number, since it is smaller than the sum of its proper divisors (20856941840).

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

11204131120 is a wasteful number, since it uses less digits than its factorization.

11204131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539062 (or 1539056 counting only the distinct ones).

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

Adding to 11204131120 its reverse (2113140211), we get a palindrome (13317271331).

Subtracting from 11204131120 its reverse (2113140211), we obtain a palindrome (9090990909).

The spelling of 11204131120 in words is "eleven billion, two hundred four million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1539029 3078058 6156116 7695145 10773203 12312232 15390290 20007377 21546406 24624464 30780580 40014754 43092812 53866015 61561160 80029508 86185624 100036885 107732030 123122320 140051639 160059016 172371248 200073770 215464060 280103278 320118032 400147540 430928120 560206556 700258195 800295080 861856240 1120413112 1400516390 1600590160 2240826224 2801032780 5602065560 11204131120