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131222332113440 = 2551117734234177
BaseRepresentation
bin11101110101100010010100…
…011111100000001000100000
3122012121201202221112022012212
4131311202110133200020200
5114144421314010112230
61143030412425141252
736432333501223121
oct3565422437401040
9565551687468185
10131222332113440
11388a2095578717
121287392562a828
13582b29c7548a9
1424592a25da048
1510285d9b16895
hex7758947e0220

131222332113440 has 48 divisors (see below), whose sum is σ = 310290300559512. Its totient is φ = 52441941786624.

The previous prime is 131222332113409. The next prime is 131222332113461. The reversal of 131222332113440 is 44311233222131.

It can be written as a sum of positive squares in 4 ways, for example, as 107237374380304 + 23984957733136 = 10355548^2 + 4897444^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131222332113397 and 131222332113406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366938369 + ... + 367295808.

Almost surely, 2131222332113440 is an apocalyptic number.

131222332113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131222332113440 is an abundant number, since it is smaller than the sum of its proper divisors (179067968446072).

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

131222332113440 is a wasteful number, since it uses less digits than its factorization.

131222332113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734235309 (or 734235301 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131222332113440 its reverse (44311233222131), we get a palindrome (175533565335571).

The spelling of 131222332113440 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred thirty-two million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1117 2234 4468 5585 8936 11170 17872 22340 35744 44680 89360 178720 734234177 1468468354 2936936708 3671170885 5873873416 7342341770 11747746832 14684683540 23495493664 29369367080 58738734160 117477468320 820139575709 1640279151418 3280558302836 4100697878545 6561116605672 8201395757090 13122233211344 16402791514180 26244466422688 32805583028360 65611166056720 131222332113440