Search a number
-
+
2000012231310 = 23537472815669
BaseRepresentation
bin11101000110101010000…
…001001100001010001110
321002012101021212021011120
4131012222001030022032
5230232011112400220
64130443135101410
7264332111316612
oct35065201141216
97065337767146
102000012231310
11701222845405
12283748071866
131167a5c57732
146cb30355342
15370590e6a40
hex1d1aa04c28e

2000012231310 has 96 divisors (see below), whose sum is σ = 5036886231840. Its totient is φ = 507880574208.

The previous prime is 2000012231233. The next prime is 2000012231311. The reversal of 2000012231310 is 131322100002.

It is a super-2 number, since 2×20000122313102 (a number of 25 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 2000012231310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000012231311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2044156 + ... + 2859824.

It is an arithmetic number, because the mean of its divisors is an integer number (52467564915).

Almost surely, 22000012231310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000012231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518443115920).

2000012231310 is an abundant number, since it is smaller than the sum of its proper divisors (3036874000530).

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

2000012231310 is a wasteful number, since it uses less digits than its factorization.

2000012231310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815810 (or 815763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2000012231310 its reverse (131322100002), we get a palindrome (2131334331312).

It can be divided in two parts, 2000012 and 231310, that added together give a palindrome (2231322).

The spelling of 2000012231310 in words is "two trillion, twelve million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 222 235 282 370 470 555 705 1110 1410 1739 2209 3478 4418 5217 6627 8695 10434 11045 13254 17390 22090 26085 33135 52170 66270 81733 163466 245199 408665 490398 815669 817330 1225995 1631338 2447007 2451990 4078345 4894014 8156690 12235035 24470070 30179753 38336443 60359506 76672886 90539259 115009329 150898765 181078518 191682215 230018658 301797530 383364430 452696295 575046645 905392590 1150093290 1418448391 1801812821 2836896782 3603625642 4255345173 5405438463 7092241955 8510690346 9009064105 10810876926 14184483910 18018128210 21276725865 27027192315 42553451730 54054384630 66667074377 133334148754 200001223131 333335371885 400002446262 666670743770 1000006115655 2000012231310