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2010415102241 = 71343518999013
BaseRepresentation
bin11101010000010110000…
…100111111100100100001
321010012020021200212022112
4131100112010333210201
5230414312231232431
64135323312445105
7265150650261440
oct35202604774441
97105207625275
102010415102241
11705680a062a7
1228576bb49795
13117773250170
146d439bc8d57
1537467533c2b
hex1d41613f921

2010415102241 has 32 divisors (see below), whose sum is σ = 2532413748480. Its totient is φ = 1553350950144.

The previous prime is 2010415102177. The next prime is 2010415102277. The reversal of 2010415102241 is 1422015140102.

It is not a de Polignac number, because 2010415102241 - 26 = 2010415102177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2010415102441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20255051 + ... + 20354063.

It is an arithmetic number, because the mean of its divisors is an integer number (79137929640).

Almost surely, 22010415102241 is an apocalyptic number.

It is an amenable number.

2010415102241 is a deficient number, since it is larger than the sum of its proper divisors (521998646239).

2010415102241 is a wasteful number, since it uses less digits than its factorization.

2010415102241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104265.

The product of its (nonzero) digits is 640, while the sum is 23.

The spelling of 2010415102241 in words is "two trillion, ten billion, four hundred fifteen million, one hundred two thousand, two hundred forty-one".

Divisors: 1 7 13 43 91 301 559 3913 5189 36323 67457 99013 223127 472199 693091 1287169 1561889 2900651 4257559 9010183 20304557 29802913 55348267 387437869 513778457 3596449199 6679119941 22092473651 46753839587 154647315557 287202157463 2010415102241