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213104100244401 = 32673313493059293
BaseRepresentation
bin110000011101000100101010…
…001100011111101110110001
31000221112112221011002221000100
4300131010222030133232301
5210412444144130310101
62033122401103343013
762613156156502062
oct6035045214375661
91027475834087010
10213104100244401
11619a0a39a80483
121ba99003bb1a69
1391ba827076242
143a8a417476569
1519984d78d7e86
hexc1d12a31fbb1

213104100244401 has 48 divisors (see below), whose sum is σ = 314253127115200. Its totient is φ = 139126320938880.

The previous prime is 213104100244327. The next prime is 213104100244439. The reversal of 213104100244401 is 104442001401312.

213104100244401 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 4 + 10 + 0 + 244 + 401 = 666.

213104100244401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213104100244401 - 235 = 213069740506033 is a prime.

It is a super-3 number, since 3×2131041002444013 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213104100244471) 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, 68128311 + ... + 71187603.

Almost surely, 2213104100244401 is an apocalyptic number.

It is an amenable number.

213104100244401 is a deficient number, since it is larger than the sum of its proper divisors (101149026870799).

213104100244401 is a wasteful number, since it uses less digits than its factorization.

213104100244401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060046 (or 3060043 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 213104100244401 its reverse (104442001401312), we get a palindrome (317546101645713).

The spelling of 213104100244401 in words is "two hundred thirteen trillion, one hundred four billion, one hundred million, two hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 67 201 331 349 603 993 1047 2979 3141 22177 23383 66531 70149 115519 199593 210447 346557 1039671 3059293 7739773 9177879 23219319 27533637 69657957 204972631 614917893 1012625983 1067693257 1844753679 3037877949 3203079771 9113633847 9609239313 67845940861 71535448219 203537822583 214606344657 353406468067 610613467749 643819033971 1060219404201 3180658212603 23678233360489 71034700081467 213104100244401