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13111203331044 = 22337131334066273
BaseRepresentation
bin1011111011001011000010…
…0111011111101111100100
31201102102022022012001112000
42332302300213133233210
53204303221023043134
643515111553525300
72522152561332540
oct276626047375744
951372268161460
1013111203331044
1141a5480521275
121579057573830
137414c5574a10
1433482ad64a20
1517b0bc226e99
hexbecb09dfbe4

13111203331044 has 96 divisors (see below), whose sum is σ = 41836318352640. Its totient is φ = 3457899777024.

The previous prime is 13111203330961. The next prime is 13111203331069. The reversal of 13111203331044 is 44013330211131.

13111203331044 is a `hidden beast` number, since 1 + 311 + 1 + 2 + 0 + 33 + 310 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13111203330999 and 13111203331017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667023309 + ... + 667042964.

It is an arithmetic number, because the mean of its divisors is an integer number (435794982840).

Almost surely, 213111203331044 is an apocalyptic number.

13111203331044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13111203331044 is an abundant number, since it is smaller than the sum of its proper divisors (28725115021596).

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

13111203331044 is a wasteful number, since it uses less digits than its factorization.

13111203331044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334066306 (or 1334066298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13111203331044 its reverse (44013330211131), we get a palindrome (57124533542175).

The spelling of 13111203331044 in words is "thirteen trillion, one hundred eleven billion, two hundred three million, three hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 1334066273 2668132546 4002198819 5336265092 8004397638 9338463911 12006596457 16008795276 17342861549 18676927822 24013192914 28015391733 34685723098 36019789371 37353855644 48026385828 52028584647 56030783466 69371446196 72039578742 84046175199 104057169294 112061566932 121400030843 144079157484 156085753941 168092350398 208114338588 242800061686 252138525597 312171507882 336184700796 364200092529 468257261823 485600123372 504277051194 624343015764 728400185058 936514523646 1008554102388 1092600277587 1456800370116 1873029047292 2185200555174 3277800832761 4370401110348 6555601665522 13111203331044