Search a number
-
+
312442203213 = 32773487139501
BaseRepresentation
bin1001000101111110000…
…00011010110001001101
31002212110122010102212100
410202333000122301031
520104340201000323
6355311200425313
731400415623310
oct4427700326115
91085418112770
10312442203213
11110562529778
1250678318239
132360379032a
141119d78c977
1581d9b7c943
hex48bf01ac4d

312442203213 has 48 divisors (see below), whose sum is σ = 523920407296. Its totient is φ = 175729824000.

The previous prime is 312442203209. The next prime is 312442203221. The reversal of 312442203213 is 312302244213.

312442203213 is a `hidden beast` number, since 3 + 1 + 2 + 442 + 2 + 0 + 3 + 213 = 666.

It is not a de Polignac number, because 312442203213 - 22 = 312442203209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312442203413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2169963 + ... + 2309463.

Almost surely, 2312442203213 is an apocalyptic number.

It is an amenable number.

312442203213 is a deficient number, since it is larger than the sum of its proper divisors (211478204083).

312442203213 is a wasteful number, since it uses less digits than its factorization.

312442203213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140074 (or 140071 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312442203213 its reverse (312302244213), we get a palindrome (624744447426).

The spelling of 312442203213 in words is "three hundred twelve billion, four hundred forty-two million, two hundred three thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 63 73 219 487 511 657 1461 1533 3409 4383 4599 10227 30681 35551 106653 139501 248857 319959 418503 746571 976507 1255509 2239713 2929521 8788563 10183573 30550719 67936987 71285011 91652157 203810961 213855033 475558909 611432883 641565099 1426676727 4280030181 4959400051 14878200153 34715800357 44634600459 104147401071 312442203213