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130412200222100 = 225247191631447961
BaseRepresentation
bin11101101001101111110100…
…110111100101110110010100
3122002202021200110110011012102
4131221233310313211312110
5114043133141224101400
61141210312051141232
736316653615610226
oct3551576467456624
9562667613404172
10130412200222100
113860a55a206005
1212762911ba4818
13579ca8268c454
14242bdac7bc416
1510124c20b29d5
hex769bf4de5d94

130412200222100 has 72 divisors (see below), whose sum is σ = 289030915087488. Its totient is φ = 51052289516800.

The previous prime is 130412200222039. The next prime is 130412200222151. The reversal of 130412200222100 is 1222002214031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89342120 + ... + 90790080.

It is an arithmetic number, because the mean of its divisors is an integer number (4014318265104).

Almost surely, 2130412200222100 is an apocalyptic number.

130412200222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130412200222100 is an abundant number, since it is smaller than the sum of its proper divisors (158618714865388).

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

130412200222100 is a wasteful number, since it uses less digits than its factorization.

130412200222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467185 (or 1467178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 130412200222100 its reverse (1222002214031), we get a palindrome (131634202436131).

The spelling of 130412200222100 in words is "one hundred thirty trillion, four hundred twelve billion, two hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 19163 38326 76652 95815 191630 383260 479075 900661 958150 1447961 1801322 1916300 2895922 3602644 4503305 5791844 7239805 9006610 14479610 18013220 22516525 28959220 36199025 45033050 68054167 72398050 90066100 136108334 144796100 272216668 340270835 680541670 1361083340 1701354175 3402708350 6805416700 27747276643 55494553286 110989106572 138736383215 277472766430 554945532860 693681916075 1304122002221 1387363832150 2608244004442 2774727664300 5216488008884 6520610011105 13041220022210 26082440044420 32603050055525 65206100111050 130412200222100