Search a number
-
+
2301312132120 = 2335103118600971
BaseRepresentation
bin100001011111010000111…
…001000110010000011000
322011000002101210002121010
4201133100321012100120
5300201041401211440
64521112545413520
7325156442240451
oct41372071062030
98130071702533
102301312132120
11807a877813a1
1231201493a2a0
13139022188101
147d553d90128
153ece0976580
hex217d0e46418

2301312132120 has 64 divisors (see below), whose sum is σ = 6910633117440. Its totient is φ = 613087971200.

The previous prime is 2301312132109. The next prime is 2301312132131. The reversal of 2301312132120 is 212312131032.

It is an interprime number because it is at equal distance from previous prime (2301312132109) and next prime (2301312132131).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9176766 + ... + 9424205.

It is an arithmetic number, because the mean of its divisors is an integer number (107978642460).

Almost surely, 22301312132120 is an apocalyptic number.

2301312132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301312132120 is an abundant number, since it is smaller than the sum of its proper divisors (4609320985320).

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

2301312132120 is a wasteful number, since it uses less digits than its factorization.

2301312132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18602016 (or 18602012 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2301312132120 its reverse (212312131032), we get a palindrome (2513624263152).

The spelling of 2301312132120 in words is "two trillion, three hundred one billion, three hundred twelve million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1031 2062 3093 4124 5155 6186 8248 10310 12372 15465 20620 24744 30930 41240 61860 123720 18600971 37201942 55802913 74403884 93004855 111605826 148807768 186009710 223211652 279014565 372019420 446423304 558029130 744038840 1116058260 2232116520 19177601101 38355202202 57532803303 76710404404 95888005505 115065606606 153420808808 191776011010 230131213212 287664016515 383552022020 460262426424 575328033030 767104044040 1150656066060 2301312132120