Search a number
-
+
100664142431 = 1731191013553
BaseRepresentation
bin101110111000000001…
…1001110101001011111
3100121211110100021101112
41131300003032221133
53122130010024211
6114124445532235
710162360043546
oct1356003165137
9317743307345
10100664142431
1139767314146
121761427407b
1396532a5928
144c2d34315d
1529426c788b
hex17700cea5f

100664142431 has 8 divisors (see below), whose sum is σ = 110023807104. Its totient is φ = 91686504960.

The previous prime is 100664142409. The next prime is 100664142547. The reversal of 100664142431 is 134241466001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100664142431 - 210 = 100664141407 is a prime.

It is a super-2 number, since 2×1006641424312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100664142401) 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, 95506250 + ... + 95507303.

It is an arithmetic number, because the mean of its divisors is an integer number (13752975888).

Almost surely, 2100664142431 is an apocalyptic number.

100664142431 is a deficient number, since it is larger than the sum of its proper divisors (9359664673).

100664142431 is a wasteful number, since it uses less digits than its factorization.

100664142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191013601.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 100664142431 in words is "one hundred billion, six hundred sixty-four million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 17 31 527 191013553 3247230401 5921420143 100664142431