Search a number
-
+
100037072321 = 234349437927
BaseRepresentation
bin101110100101010101…
…1001001010111000001
3100120012202101210220122
41131022223021113001
53114333442303241
6113542325350025
710141004041034
oct1351253112701
9316182353818
10100037072321
113947535708a
121747a268315
1395833bc824
144badd5101b
15290760e04b
hex174aac95c1

100037072321 has 4 divisors (see below), whose sum is σ = 104386510272. Its totient is φ = 95687634372.

The previous prime is 100037072297. The next prime is 100037072327. The reversal of 100037072321 is 123270730001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 123270730001 = 731688640137.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100037072321 is a prime.

It is a super-3 number, since 3×1000370723213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100037072327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2174718941 + ... + 2174718986.

It is an arithmetic number, because the mean of its divisors is an integer number (26096627568).

Almost surely, 2100037072321 is an apocalyptic number.

It is an amenable number.

100037072321 is a deficient number, since it is larger than the sum of its proper divisors (4349437951).

100037072321 is an equidigital number, since it uses as much as digits as its factorization.

100037072321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349437950.

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 100037072321 in words is "one hundred billion, thirty-seven million, seventy-two thousand, three hundred twenty-one".

Divisors: 1 23 4349437927 100037072321