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10142104112301 = 371961859485101
BaseRepresentation
bin1001001110010110010010…
…0000110100110010101101
31022220120112200012010000210
42103211210200310302231
52312132012123043201
633323115053213033
72064512536355640
oct223454440646255
938816480163023
1010142104112301
113260273404947
121179736191179
1358751c918085
14270c47d97a57
15128c457401d6
hex93964834cad

10142104112301 has 64 divisors (see below), whose sum is σ = 16554008729600. Its totient is φ = 5394156768000.

The previous prime is 10142104112251. The next prime is 10142104112321. The reversal of 10142104112301 is 10321140124101.

It is not a de Polignac number, because 10142104112301 - 210 = 10142104111277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142104112321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20664651 + ... + 21149751.

It is an arithmetic number, because the mean of its divisors is an integer number (258656386400).

Almost surely, 210142104112301 is an apocalyptic number.

It is an amenable number.

10142104112301 is a deficient number, since it is larger than the sum of its proper divisors (6411904617299).

10142104112301 is a wasteful number, since it uses less digits than its factorization.

10142104112301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486050.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10142104112301 its reverse (10321140124101), we get a palindrome (20463244236402).

The spelling of 10142104112301 in words is "ten trillion, one hundred forty-two billion, one hundred four million, one hundred twelve thousand, three hundred one".

Divisors: 1 3 7 19 21 57 61 133 183 399 427 859 1159 1281 2577 3477 6013 8113 16321 18039 24339 48963 52399 114247 157197 342741 366793 485101 995581 1100379 1455303 2986743 3395707 6969067 9216919 10187121 20907201 27650757 29591161 64518433 88773483 193555299 207138127 416701759 562232059 621414381 1250105277 1686696177 2916912313 3935624413 7917333421 8750736939 11806873239 23752000263 25418807299 55421333947 76256421897 166264001841 177931651093 482957338681 533794953279 1448872016043 3380701370767 10142104112301