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13111212133332 = 22321861715127367
BaseRepresentation
bin1011111011001011000100…
…1001000100101111010100
31201102102022220202020222200
42332302301021010233110
53204303230301231312
643515112510324500
72522153026213305
oct276626111045724
951372286666880
1013111212133332
1141a5485493595
12157905a4b9730
137414c7337381
1433482c1b67ac
1517b0bcdb50dc
hexbecb1244bd4

13111212133332 has 72 divisors (see below), whose sum is σ = 33165888467712. Its totient is φ = 4367285208000.

The previous prime is 13111212133321. The next prime is 13111212133339. The reversal of 13111212133332 is 23333121211131.

13111212133332 is a `hidden beast` number, since 1 + 3 + 1 + 112 + 1 + 213 + 3 + 332 = 666.

13111212133332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13111212133296 and 13111212133305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111212133339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479074713 + ... + 479102079.

Almost surely, 213111212133332 is an apocalyptic number.

13111212133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13111212133332 is an abundant number, since it is smaller than the sum of its proper divisors (20054676334380).

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

13111212133332 is a wasteful number, since it uses less digits than its factorization.

13111212133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36389 (or 36384 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13111212133332 its reverse (23333121211131), we get a palindrome (36444333344463).

The spelling of 13111212133332 in words is "thirteen trillion, one hundred eleven billion, two hundred twelve million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1861 3722 5583 7151 7444 11166 14302 16749 21453 22332 27367 28604 33498 42906 54734 64359 66996 82101 85812 109468 128718 164202 246303 257436 328404 492606 985212 13308011 26616022 39924033 50929987 53232044 79848066 101859974 119772099 152789961 159696132 195701417 203719948 239544198 305579922 391402834 458369883 479088396 587104251 611159844 782805668 916739766 1174208502 1761312753 1833479532 2348417004 3522625506 7045251012 364200337037 728400674074 1092601011111 1456801348148 2185202022222 3277803033333 4370404044444 6555606066666 13111212133332