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103121212011311 = 1329416799574469
BaseRepresentation
bin10111011100100111000111…
…001101011111001100101111
3111112010021212120100222012002
4113130213013031133030233
5102004014220233330221
61003153121504202515
730502155523404404
oct2734470715371457
9445107776328162
10103121212011311
112a9485078a800a
12b6956b930943b
134570399c9b860
141b67143dca2ab
15bdc6455c880b
hex5dc9c735f32f

103121212011311 has 32 divisors (see below), whose sum is σ = 119441568254400. Its totient is φ = 88326536094720.

The previous prime is 103121212011179. The next prime is 103121212011319. The reversal of 103121212011311 is 113110212121301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103121212011311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121212011319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48751616 + ... + 50822853.

It is an arithmetic number, because the mean of its divisors is an integer number (3732549007950).

Almost surely, 2103121212011311 is an apocalyptic number.

103121212011311 is a deficient number, since it is larger than the sum of its proper divisors (16320356243089).

103121212011311 is a wasteful number, since it uses less digits than its factorization.

103121212011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99574619.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 103121212011311 its reverse (113110212121301), we get a palindrome (216231424132612).

The spelling of 103121212011311 in words is "one hundred three trillion, one hundred twenty-one billion, two hundred twelve million, eleven thousand, three hundred eleven".

Divisors: 1 13 29 41 67 377 533 871 1189 1943 2747 15457 25259 35711 79663 1035619 99574469 1294468097 2887659601 4082553229 6671489423 37539574813 53073191977 86729362499 118394043641 193473193267 273531066343 1539122567333 2515151512471 3555903862459 7932400923947 103121212011311