Search a number
-
+
2130131203330 = 2513171019394561
BaseRepresentation
bin11110111111110101101…
…101101011010100000010
321112122020111122220201111
4132333311231223110002
5234400002042001310
64310322504153534
7306616431324304
oct36776555532402
97478214586644
102130131203330
11751424593a19
122a4a007688aa
13125b416862c0
147515554d974
153a62260b28a
hex1eff5b6b502

2130131203330 has 64 divisors (see below), whose sum is σ = 4372545367008. Its totient is φ = 740164239360.

The previous prime is 2130131203309. The next prime is 2130131203337. The reversal of 2130131203330 is 333021310312.

It can be written as a sum of positive squares in 16 ways, for example, as 126822166641 + 2003309036689 = 356121^2 + 1415383^2 .

It is a super-2 number, since 2×21301312033302 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2130131203337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22479250 + ... + 22573810.

Almost surely, 22130131203330 is an apocalyptic number.

2130131203330 is an abundant number, since it is smaller than the sum of its proper divisors (2242414163678).

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

2130131203330 is a wasteful number, since it uses less digits than its factorization.

2130131203330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104791.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2130131203330 its reverse (333021310312), we get a palindrome (2463152513642).

The spelling of 2130131203330 in words is "two trillion, one hundred thirty billion, one hundred thirty-one million, two hundred three thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 10193 20386 50965 94561 101930 132509 173281 189122 265018 346562 472805 662545 866405 945610 1229293 1325090 1607537 1732810 2252653 2458586 3215074 4505306 6146465 8037685 11263265 12292930 16075370 20897981 22526530 41795962 104489905 208979810 963860273 1927720546 4819301365 9638602730 12530183549 16385624641 25060367098 32771249282 62650917745 81928123205 125301835490 163856246410 213013120333 426026240666 1065065601665 2130131203330