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13111111122032 = 24721112791188667
BaseRepresentation
bin1011111011001010101100…
…0111101111110001110000
31201102102001212200100112102
42332302223013233301300
53204303023421401112
643515054501315532
72522150361506600
oct276625307576160
951372055610472
1013111111122032
1141a5433471280
121579030705ba8
137414ac42b481
1433481ca00c00
1517b0b40b0bc2
hexbecab1efc70

13111111122032 has 120 divisors (see below), whose sum is σ = 32261780828160. Its totient is φ = 5104226897280.

The previous prime is 13111111121987. The next prime is 13111111122061. The reversal of 13111111122032 is 23022111111131.

It is a junction number, because it is equal to n+sod(n) for n = 13111111121995 and 13111111122013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10435763 + ... + 11624429.

It is an arithmetic number, because the mean of its divisors is an integer number (268848173568).

Almost surely, 213111111122032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111111122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130890414080).

13111111122032 is an abundant number, since it is smaller than the sum of its proper divisors (19150669706128).

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

13111111122032 is a wasteful number, since it uses less digits than its factorization.

13111111122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189979 (or 1189966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 13111111122032 its reverse (23022111111131), we get a palindrome (36133222233163).

The spelling of 13111111122032 in words is "thirteen trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 1279 2156 2558 4312 5116 8624 8953 10232 14069 17906 20464 28138 35812 56276 62671 71624 98483 112552 125342 143248 196966 225104 250684 393932 501368 689381 787864 1002736 1188667 1378762 1575728 2377334 2757524 4754668 5515048 8320669 9509336 11030096 13075337 16641338 19018672 26150674 33282676 52301348 58244683 66565352 91527359 104602696 116489366 133130704 183054718 209205392 232978732 366109436 465957464 640691513 732218872 931914928 1281383026 1464437744 1520305093 2562766052 3040610186 5125532104 6081220372 10251064208 10642135651 12162440744 16723356023 21284271302 24324881488 33446712046 42568542604 66893424092 74494949557 85137085208 117063492161 133786848184 148989899114 170274170416 234126984322 267573696368 297979798228 468253968644 595959596456 819444445127 936507937288 1191919192912 1638888890254 1873015874576 3277777780508 6555555561016 13111111122032