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103142424241301 = 1921012224312487
BaseRepresentation
bin10111011100111010110111…
…100011101110010010010101
3111112012022121212220220100212
4113130322313203232102111
5102004341141101210201
61003210550420015205
730503536265364464
oct2734726743562225
9445168555826325
10103142424241301
112a9565026263a5
12b699839231505
13457239a860533
141b681972a69db
15bdce87998abb
hex5dceb78ee495

103142424241301 has 36 divisors (see below), whose sum is σ = 110002971820896. Its totient is φ = 96695534570400.

The previous prime is 103142424241277. The next prime is 103142424241319.

103142424241301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103142424241301 - 230 = 103141350499477 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 (103142424241391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8259978080 + ... + 8259990566.

It is an arithmetic number, because the mean of its divisors is an integer number (3055638106136).

Almost surely, 2103142424241301 is an apocalyptic number.

It is an amenable number.

103142424241301 is a deficient number, since it is larger than the sum of its proper divisors (6860547579595).

103142424241301 is a wasteful number, since it uses less digits than its factorization.

103142424241301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14970 (or 14850 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 103142424241301 in words is "one hundred three trillion, one hundred forty-two billion, four hundred twenty-four million, two hundred forty-one thousand, three hundred one".

Divisors: 1 19 101 361 1919 2243 10201 12487 36461 42617 193819 226543 237253 809723 1261187 3682561 4304317 4507807 22880843 23962553 28008341 81782023 127379887 434736017 455288507 532158479 2420217853 2828842441 8259984323 10111011101 45984139207 53748006379 285713086541 1021212121201 5428548644279 103142424241301