Search a number
-
+
1301113123100 = 225271999340367
BaseRepresentation
bin10010111011110000011…
…000101011000100011100
311121101101210212222001122
4102323300120223010130
5132304134424414400
62433420105430112
7163000540032260
oct22736030530434
94541353788048
101301113123100
1146188749003a
121901b819b338
13959048c136b
1446d8d3420a0
1523ca19ee685
hex12ef062b11c

1301113123100 has 72 divisors (see below), whose sum is σ = 3242975769600. Its totient is φ = 443854192320.

The previous prime is 1301113123073. The next prime is 1301113123103. The reversal of 1301113123100 is 13213111031.

It is a super-2 number, since 2×13011131231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301113123103) by changing a digit.

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, 4530884 + ... + 4809483.

Almost surely, 21301113123100 is an apocalyptic number.

1301113123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301113123100 is an abundant number, since it is smaller than the sum of its proper divisors (1941862646500).

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

1301113123100 is a wasteful number, since it uses less digits than its factorization.

1301113123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340587 (or 9340580 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1301113123100 its reverse (13213111031), we get a palindrome (1314326234131).

The spelling of 1301113123100 in words is "one trillion, three hundred one billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 199 350 398 700 796 995 1393 1990 2786 3980 4975 5572 6965 9950 13930 19900 27860 34825 69650 139300 9340367 18680734 37361468 46701835 65382569 93403670 130765138 186807340 233509175 261530276 326912845 467018350 653825690 934036700 1307651380 1634564225 1858733033 3269128450 3717466066 6538256900 7434932132 9293665165 13011131231 18587330330 26022262462 37174660660 46468325825 52044524924 65055656155 92936651650 130111312310 185873303300 260222624620 325278280775 650556561550 1301113123100