Search a number
-
+
210214013332401 = 32133162189931967
BaseRepresentation
bin101111110011000001000011…
…100101110110101110110001
31000120022021010000201001002100
4233303001003211312232301
5210023121244403114101
62023030552355011013
762164314134203461
oct5763010345665661
91016267100631070
10210214013332401
1160a87298292611
121b6b0a73899a69
13903b133a32a20
1439ca5abdbbba1
15194823781ee86
hexbf3043976bb1

210214013332401 has 48 divisors (see below), whose sum is σ = 337553739694080. Its totient is φ = 125187339473280.

The previous prime is 210214013332399. The next prime is 210214013332471. The reversal of 210214013332401 is 104233310412012.

210214013332401 is a `hidden beast` number, since 2 + 1 + 0 + 214 + 0 + 13 + 3 + 32 + 401 = 666.

It is not a de Polignac number, because 210214013332401 - 21 = 210214013332399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210214013332471) 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, 225093520 + ... + 226025486.

It is an arithmetic number, because the mean of its divisors is an integer number (7032369576960).

Almost surely, 2210214013332401 is an apocalyptic number.

It is an amenable number.

210214013332401 is a deficient number, since it is larger than the sum of its proper divisors (127339726361679).

210214013332401 is a wasteful number, since it uses less digits than its factorization.

210214013332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994206 (or 994203 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 210214013332401 its reverse (104233310412012), we get a palindrome (314447323744413).

The spelling of 210214013332401 in words is "two hundred ten trillion, two hundred fourteen billion, thirteen million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 62189 186567 559701 808457 931967 1927859 2425371 2795901 5783577 7276113 8387703 12115571 17350731 25062167 28890977 36346713 75186501 86672931 109040139 225559503 260018793 375582701 1126748103 3380244309 57958095763 173874287289 521622861867 753455244919 1796700968653 2260365734757 5390102905959 6781097204271 16170308717877 23357112592489 70071337777467 210214013332401