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13110032133200 = 245242017801733
BaseRepresentation
bin1011111011000110101011…
…0011101110110001010000
31201102022021200101001010002
42332301222303232301100
53204243321211230300
643514355435025132
72522111550323552
oct276615263566120
951368250331102
1013110032133200
1141a4a2a3a7a72
12157898b29b1a8
13741369a26242
143347595b14d2
1517b04e4ca5d5
hexbec6aceec50

13110032133200 has 60 divisors (see below), whose sum is σ = 31504353703548. Its totient is φ = 5242763904000.

The previous prime is 13110032133181. The next prime is 13110032133217. The reversal of 13110032133200 is 233123001131.

It can be written as a sum of positive squares in 6 ways, for example, as 149283322384 + 12960748810816 = 386372^2 + 3600104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2220467 + ... + 5581266.

Almost surely, 213110032133200 is an apocalyptic number.

13110032133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110032133200 is an abundant number, since it is smaller than the sum of its proper divisors (18394321570348).

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

13110032133200 is a wasteful number, since it uses less digits than its factorization.

13110032133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805952 (or 7805941 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13110032133200 its reverse (233123001131), we get a palindrome (13343155134331).

The spelling of 13110032133200 in words is "thirteen trillion, one hundred ten billion, thirty-two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4201 8402 16804 21005 33608 42010 67216 84020 105025 168040 210050 336080 420100 840200 1680400 7801733 15603466 31206932 39008665 62413864 78017330 124827728 156034660 195043325 312069320 390086650 624138640 780173300 1560346600 3120693200 32775080333 65550160666 131100321332 163875401665 262200642664 327750803330 524401285328 655501606660 819377008325 1311003213320 1638754016650 2622006426640 3277508033300 6555016066600 13110032133200