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10121340201 = 371759480527
BaseRepresentation
bin10010110110100011…
…10110010100101001
3222010101002100120220
421123101312110221
5131212030341301
64352155240253
7505546654320
oct113321662451
928111070526
1010121340201
114324261775
121b65749089
13c53b933cb
146c030b0b7
153e387a936
hex25b476529

10121340201 has 32 divisors (see below), whose sum is σ = 16607047680. Its totient is φ = 5351137536.

The previous prime is 10121340197. The next prime is 10121340211. The reversal of 10121340201 is 10204312101.

10121340201 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 10121340201 - 22 = 10121340197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121340211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219201 + ... + 261326.

It is an arithmetic number, because the mean of its divisors is an integer number (518970240).

Almost surely, 210121340201 is an apocalyptic number.

It is an amenable number.

10121340201 is a deficient number, since it is larger than the sum of its proper divisors (6485707479).

10121340201 is a wasteful number, since it uses less digits than its factorization.

10121340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480613.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10121340201 its reverse (10204312101), we get a palindrome (20325652302).

The spelling of 10121340201 in words is "ten billion, one hundred twenty-one million, three hundred forty thousand, two hundred one".

Divisors: 1 3 7 17 21 51 59 119 177 357 413 1003 1239 3009 7021 21063 480527 1441581 3363689 8168959 10091067 24506877 28351093 57182713 85053279 171548139 198457651 481968581 595372953 1445905743 3373780067 10121340201