Search a number
-
+
301021200113100 = 223527571325500661
BaseRepresentation
bin100010001110001101111010…
…1101100111101110111001100
31110110211100100000010100021020
41010130123311230331313030
5303423412404212104400
62544115121422434140
7120256030646302035
oct10434336554756714
91413740300110236
10301021200113100
1187a07412948145
1229917b12a32950
13cbc723c8ac07c
14544970a6c3a8c
1524c03bb3a02a0
hex111c6f5b3ddcc

301021200113100 has 72 divisors (see below), whose sum is σ = 872105207558928. Its totient is φ = 80166279916800.

The previous prime is 301021200113063. The next prime is 301021200113171. The reversal of 301021200113100 is 1311002120103.

It is a happy number.

It is a super-2 number, since 2×3010212001131002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 301021200113100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662523231 + ... + 662977430.

Almost surely, 2301021200113100 is an apocalyptic number.

301021200113100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301021200113100 is an abundant number, since it is smaller than the sum of its proper divisors (571084007445828).

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

301021200113100 is a wasteful number, since it uses less digits than its factorization.

301021200113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325501435 (or 1325501428 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 301021200113100 its reverse (1311002120103), we get a palindrome (302332202233203).

The spelling of 301021200113100 in words is "three hundred one trillion, twenty-one billion, two hundred million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 757 1514 2271 3028 3785 4542 7570 9084 11355 15140 18925 22710 37850 45420 56775 75700 113550 227100 1325500661 2651001322 3976501983 5302002644 6627503305 7953003966 13255006610 15906007932 19882509915 26510013220 33137516525 39765019830 66275033050 79530039660 99412549575 132550066100 198825099150 397650198300 1003404000377 2006808000754 3010212001131 4013616001508 5017020001885 6020424002262 10034040003770 12040848004524 15051060005655 20068080007540 25085100009425 30102120011310 50170200018850 60204240022620 75255300028275 100340400037700 150510600056550 301021200113100