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1302131230100 = 225229974628977
BaseRepresentation
bin10010111100101101000…
…100011100010110010100
311121111000202122011022022
4102330231010130112110
5132313231043330400
62434105115152312
7163035011556251
oct22745504342624
94544022564268
101302131230100
1146225a150988
12190441145698
1395a377cb13c
1447048644428
1523d110aab85
hex12f2d11c594

1302131230100 has 72 divisors (see below), whose sum is σ = 2953195384440. Its totient is φ = 497707499520.

The previous prime is 1302131230079. The next prime is 1302131230111. The reversal of 1302131230100 is 10321312031.

It can be written as a sum of positive squares in 12 ways, for example, as 488494757776 + 813636472324 = 698924^2 + 902018^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2033189 + ... + 2595788.

Almost surely, 21302131230100 is an apocalyptic number.

1302131230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302131230100 is an abundant number, since it is smaller than the sum of its proper divisors (1651064154340).

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

1302131230100 is a wasteful number, since it uses less digits than its factorization.

1302131230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629117 (or 4629110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1302131230100 its reverse (10321312031), we get a palindrome (1312452542131).

The spelling of 1302131230100 in words is "one trillion, three hundred two billion, one hundred thirty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 97 100 116 145 194 290 388 485 580 725 970 1450 1940 2425 2813 2900 4850 5626 9700 11252 14065 28130 56260 70325 140650 281300 4628977 9257954 18515908 23144885 46289770 92579540 115724425 134240333 231448850 268480666 449010769 462897700 536961332 671201665 898021538 1342403330 1796043076 2245053845 2684806660 3356008325 4490107690 6712016650 8980215380 11225269225 13021312301 13424033300 22450538450 26042624602 44901076900 52085249204 65106561505 130213123010 260426246020 325532807525 651065615050 1302131230100