Search a number
-
+
2012101013312 = 261317142258273
BaseRepresentation
bin11101010001111010100…
…100001110111101000000
321010100120210001000112022
4131101322210032331000
5230431240324411222
64140202455421012
7265240511264165
oct35217244167500
97110523030468
102012101013312
11706366626235
12285b60684768
13117981605990
146d559a8406c
1537515553042
hex1d47a90ef40

2012101013312 has 56 divisors (see below), whose sum is σ = 4552833801096. Its totient is φ = 874034823168.

The previous prime is 2012101013309. The next prime is 2012101013369. The reversal of 2012101013312 is 2133101012102.

It can be written as a sum of positive squares in 4 ways, for example, as 12184627456 + 1999916385856 = 110384^2 + 1414184^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71114993 + ... + 71143280.

It is an arithmetic number, because the mean of its divisors is an integer number (81300603591).

Almost surely, 22012101013312 is an apocalyptic number.

It is an amenable number.

2012101013312 is an abundant number, since it is smaller than the sum of its proper divisors (2540732787784).

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

2012101013312 is a wasteful number, since it uses less digits than its factorization.

2012101013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142258315 (or 142258305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2012101013312 its reverse (2133101012102), we get a palindrome (4145202025414).

The spelling of 2012101013312 in words is "two trillion, twelve billion, one hundred one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 142258273 284516546 569033092 1138066184 1849357549 2276132368 2418390641 3698715098 4552264736 4836781282 7397430196 9104529472 9673562564 14794860392 19347125128 29589720784 31439078333 38694250256 59179441568 62878156666 77388500512 118358883136 125756313332 154777001024 251512626664 503025253328 1006050506656 2012101013312