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13355123251220 = 2253744940194797
BaseRepresentation
bin1100001001010111101101…
…1000001001100000010100
31202021201220111112212002122
43002111323120021200110
53222302243023014340
644223131532155112
72545606255416212
oct302257330114024
952251814485078
1013355123251220
11428996a9a9563
1215b838b908a98
1375b4c8aaa32a
1434256a07dcb2
151825e638adb5
hexc257b609814

13355123251220 has 48 divisors (see below), whose sum is σ = 28867903923600. Its totient is φ = 5186093359104.

The previous prime is 13355123251073. The next prime is 13355123251243. The reversal of 13355123251220 is 2215232155331.

It can be written as a sum of positive squares in 8 ways, for example, as 44971988356 + 13310151262864 = 212066^2 + 3648308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19765139 + ... + 20429658.

It is an arithmetic number, because the mean of its divisors is an integer number (601414665075).

Almost surely, 213355123251220 is an apocalyptic number.

13355123251220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13355123251220 is an abundant number, since it is smaller than the sum of its proper divisors (15512780672380).

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

13355123251220 is a wasteful number, since it uses less digits than its factorization.

13355123251220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40195292 (or 40195290 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 13355123251220 in words is "thirteen trillion, three hundred fifty-five billion, one hundred twenty-three million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 449 740 898 1796 2245 4490 8980 16613 33226 66452 83065 166130 332260 40194797 80389594 160779188 200973985 401947970 803895940 1487207489 2974414978 5948829956 7436037445 14872074890 18047463853 29744149780 36094927706 72189855412 90237319265 180474638530 360949277060 667756162561 1335512325122 2671024650244 3338780812805 6677561625610 13355123251220