Search a number
-
+
2316128472801 = 3211134143893503
BaseRepresentation
bin100001101101000100000…
…000111100111011100001
322012102022222100012001200
4201231010000330323201
5300421412342112201
64532003103151413
7326222552121123
oct41550400747341
98172288305050
102316128472801
118132a0161450
12314a6a8a5569
1313a54394b7c0
148015ba47213
15403ab5ad386
hex21b4403cee1

2316128472801 has 48 divisors (see below), whose sum is σ = 4026263334912. Its totient is φ = 1264132857600.

The previous prime is 2316128472767. The next prime is 2316128472803. The reversal of 2316128472801 is 1082748216132.

2316128472801 is a `hidden beast` number, since 2 + 3 + 1 + 612 + 8 + 4 + 7 + 28 + 0 + 1 = 666.

It is not a de Polignac number, because 2316128472801 - 215 = 2316128440033 is a prime.

It is a super-2 number, since 2×23161284728012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2316128472803) 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, 21893985 + ... + 21999518.

It is an arithmetic number, because the mean of its divisors is an integer number (83880486144).

Almost surely, 22316128472801 is an apocalyptic number.

It is an amenable number.

2316128472801 is a deficient number, since it is larger than the sum of its proper divisors (1710134862111).

2316128472801 is a wasteful number, since it uses less digits than its factorization.

2316128472801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43893574 (or 43893571 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2316128472801 in words is "two trillion, three hundred sixteen billion, one hundred twenty-eight million, four hundred seventy-two thousand, eight hundred one".

Divisors: 1 3 9 11 13 33 39 41 99 117 123 143 369 429 451 533 1287 1353 1599 4059 4797 5863 17589 52767 43893503 131680509 395041527 482828533 570615539 1448485599 1711846617 1799633623 4345456797 5135539851 5398900869 6276770929 16196702607 18830312787 19795969853 23395237099 56490938361 59387909559 70185711297 178163728677 210557133891 257347608089 772042824267 2316128472801