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420100742313 = 32722234271791
BaseRepresentation
bin1100001110011111111…
…01001001110010101001
31111011100112122212201100
412013033331021302221
523340331242223223
6520554104512013
742231326251200
oct6071775116251
91434315585640
10420100742313
11152188a0a62a
1269502a7b609
13307ccb595c5
14164939d0237
15addb414043
hex61cff49ca9

420100742313 has 36 divisors (see below), whose sum is σ = 709049123328. Its totient is φ = 238981019760.

The previous prime is 420100742309. The next prime is 420100742317. The reversal of 420100742313 is 313247001024.

It is a happy number.

420100742313 is a `hidden beast` number, since 420 + 1 + 0 + 0 + 7 + 4 + 231 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (420100742309) and next prime (420100742317).

It is not a de Polignac number, because 420100742313 - 22 = 420100742309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420100742317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2037553 + ... + 2234238.

Almost surely, 2420100742313 is an apocalyptic number.

It is an amenable number.

420100742313 is a deficient number, since it is larger than the sum of its proper divisors (288948381015).

420100742313 is a wasteful number, since it uses less digits than its factorization.

420100742313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272034 (or 4272024 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 420100742313 its reverse (313247001024), we get a palindrome (733347743337).

The spelling of 420100742313 in words is "four hundred twenty billion, one hundred million, seven hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 223 441 669 1561 2007 4683 10927 14049 32781 98343 4271791 12815373 29902537 38446119 89707611 209317759 269122833 627953277 952609393 1883859831 2857828179 6668265751 8573484537 20004797253 46677860257 60014391759 140033580771 420100742313