Search a number
-
+
320032102321211 = 7238707122829381
BaseRepresentation
bin100100011000100010100011…
…1110001101000110000111011
31112222010202210110120222102112
41020301011013301220300323
5313421401221143234321
63052352415042322535
7124260361556653130
oct11061050761506073
91488122713528375
10320032102321211
1192a769415a4635
122ba8844765944b
1310975b894a2197
1459058ca3d0587
1526eeb81b93a5b
hex1231147c68c3b

320032102321211 has 16 divisors (see below), whose sum is σ = 381657590304768. Its totient is φ = 262383543391200.

The previous prime is 320032102321109. The next prime is 320032102321271. The reversal of 320032102321211 is 112123201230023.

It is a de Polignac number, because none of the positive numbers 2k-320032102321211 is a prime.

It is a super-3 number, since 3×3200321023212113 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320032102321271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603741 + ... + 25433121.

It is an arithmetic number, because the mean of its divisors is an integer number (23853599394048).

Almost surely, 2320032102321211 is an apocalyptic number.

320032102321211 is a deficient number, since it is larger than the sum of its proper divisors (61625487983557).

320032102321211 is a wasteful number, since it uses less digits than its factorization.

320032102321211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916482.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 320032102321211 its reverse (112123201230023), we get a palindrome (432155303551234).

The spelling of 320032102321211 in words is "three hundred twenty trillion, thirty-two billion, one hundred two million, three hundred twenty-one thousand, two hundred eleven".

Divisors: 1 7 23 161 87071 609497 2002633 14018431 22829381 159805667 525075763 3675530341 1987777033051 13914439231357 45718871760173 320032102321211