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131302216100 = 225211151790501
BaseRepresentation
bin111101001001000111…
…0001101000110100100
3110112220200021200021202
41322102032031012210
54122401331403400
6140152554102032
712325535264516
oct1722216150644
9415820250252
10131302216100
1150759750390
1221544a1a918
13c4c69073c3
1464d8405bb6
1536373404d5
hex1e9238d1a4

131302216100 has 72 divisors (see below), whose sum is σ = 312887015616. Its totient is φ = 47430000000.

The previous prime is 131302216081. The next prime is 131302216117. The reversal of 131302216100 is 1612203131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 229151 + ... + 561350.

Almost surely, 2131302216100 is an apocalyptic number.

131302216100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131302216100 is an abundant number, since it is smaller than the sum of its proper divisors (181584799516).

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

131302216100 is a wasteful number, since it uses less digits than its factorization.

131302216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790677 (or 790670 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131302216100 its reverse (1612203131), we get a palindrome (132914419231).

The spelling of 131302216100 in words is "one hundred thirty-one billion, three hundred two million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7550 8305 15100 16610 33220 41525 83050 166100 790501 1581002 3162004 3952505 7905010 8695511 15810020 17391022 19762525 34782044 39525050 43477555 79050100 86955110 119365651 173910220 217387775 238731302 434775550 477462604 596828255 869551100 1193656510 1313022161 2387313020 2626044322 2984141275 5252088644 5968282550 6565110805 11936565100 13130221610 26260443220 32825554025 65651108050 131302216100