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13122232313220 = 2232572901290629
BaseRepresentation
bin1011111011110100000111…
…1111101110010110000100
31201110110202221011101211100
42332331001333232112010
53204443312433010340
643524134215140100
72523023102204532
oct276750177562604
951413687141740
1013122232313220
1141aa120054878
12157b215074630
137425624a8c84
14335195a1b152
1517b5155dd830
hexbef41fee584

13122232313220 has 36 divisors (see below), whose sum is σ = 39804104683980. Its totient is φ = 3499261950144.

The previous prime is 13122232313173. The next prime is 13122232313257. The reversal of 13122232313220 is 2231323222131.

13122232313220 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 2 + 323 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10056154268736 + 3066078044484 = 3171144^2 + 1751022^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×131222323132202 (a number of 27 digits) contains 22 as substring.

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, 36450645135 + ... + 36450645494.

It is an arithmetic number, because the mean of its divisors is an integer number (1105669574555).

Almost surely, 213122232313220 is an apocalyptic number.

13122232313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122232313220 is an abundant number, since it is smaller than the sum of its proper divisors (26681872370760).

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

13122232313220 is a wasteful number, since it uses less digits than its factorization.

13122232313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72901290644 (or 72901290639 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13122232313220 its reverse (2231323222131), we get a palindrome (15353555535351).

The spelling of 13122232313220 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty-two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72901290629 145802581258 218703871887 291605162516 364506453145 437407743774 656111615661 729012906290 874815487548 1093519359435 1312223231322 1458025812580 2187038718870 2624446462644 3280558078305 4374077437740 6561116156610 13122232313220