Search a number
-
+
10000341312 = 263134006547
BaseRepresentation
bin10010101000001000…
…10001100101000000
3221210221101222022120
421110010101211000
5130440041410222
64332154004240
7502550333013
oct112404214500
927727358276
1010000341312
114271a28495
121b31116680
13c34aa9930
146ac21137a
153d7e2915c
hex254111940

10000341312 has 56 divisors (see below), whose sum is σ = 28494569376. Its totient is φ = 3077027328.

The previous prime is 10000341301. The next prime is 10000341319. The reversal of 10000341312 is 21314300001.

It is a junction number, because it is equal to n+sod(n) for n = 10000341291 and 10000341300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000341319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000778 + ... + 2005769.

It is an arithmetic number, because the mean of its divisors is an integer number (508831596).

Almost surely, 210000341312 is an apocalyptic number.

10000341312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000341312 is an abundant number, since it is smaller than the sum of its proper divisors (18494228064).

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

10000341312 is a wasteful number, since it uses less digits than its factorization.

10000341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006575 (or 4006565 counting only the distinct ones).

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

Adding to 10000341312 its reverse (21314300001), we get a palindrome (31314641313).

The spelling of 10000341312 in words is "ten billion, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4006547 8013094 12019641 16026188 24039282 32052376 48078564 52085111 64104752 96157128 104170222 128209504 156255333 192314256 208340444 256419008 312510666 384628512 416680888 625021332 769257024 833361776 1250042664 1666723552 2500085328 3333447104 5000170656 10000341312