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131101131220 = 22564710131463
BaseRepresentation
bin111101000011000111…
…1001000000111010100
3110112101122220111200121
41322012033020013110
54121443342144340
6140121012121324
712320544141313
oct1720617100724
9415348814617
10131101131220
1150666197334
12214a9606244
13c494060377
1464b982027a
15362486e94a
hex1e863c81d4

131101131220 has 24 divisors (see below), whose sum is σ = 275737924224. Its totient is φ = 52359395616.

The previous prime is 131101131191. The next prime is 131101131257. The reversal of 131101131220 is 22131101131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131101131194 and 131101131203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5052792 + ... + 5078671.

It is an arithmetic number, because the mean of its divisors is an integer number (11489080176).

Almost surely, 2131101131220 is an apocalyptic number.

131101131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101131220 is an abundant number, since it is smaller than the sum of its proper divisors (144636793004).

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

131101131220 is a wasteful number, since it uses less digits than its factorization.

131101131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132119 (or 10132117 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131101131220 its reverse (22131101131), we get a palindrome (153232232351).

The spelling of 131101131220 in words is "one hundred thirty-one billion, one hundred one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 647 1294 2588 3235 6470 12940 10131463 20262926 40525852 50657315 101314630 202629260 6555056561 13110113122 26220226244 32775282805 65550565610 131101131220