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201102020314041 = 371131323339119173
BaseRepresentation
bin101101101110011010110110…
…011111000000001110111001
3222101001011110120021102011010
4231232122312133000032321
5202324323414200022131
61551412554233224133
760234066351401460
oct5556326637001671
9871034416242133
10201102020314041
1159093984826170
121a67ab03862049
138829aba7a4842
1437935655539d7
15183b1d20b6b46
hexb6e6b67c03b9

201102020314041 has 64 divisors (see below), whose sum is σ = 335384695388160. Its totient is φ = 104129480931840.

The previous prime is 201102020314037. The next prime is 201102020314079. The reversal of 201102020314041 is 140413020201102.

It is not a de Polignac number, because 201102020314041 - 22 = 201102020314037 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 201102020313999 and 201102020314017.

It is not an unprimeable number, because it can be changed into a prime (201102020314031) 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, 1687420131 + ... + 1687539303.

It is an arithmetic number, because the mean of its divisors is an integer number (5240385865440).

Almost surely, 2201102020314041 is an apocalyptic number.

201102020314041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201102020314041 is a deficient number, since it is larger than the sum of its proper divisors (134282675074119).

201102020314041 is a wasteful number, since it uses less digits than its factorization.

201102020314041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142846.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201102020314041 its reverse (140413020201102), we get a palindrome (341515040515143).

The spelling of 201102020314041 in words is "two hundred one trillion, one hundred two billion, twenty million, three hundred fourteen thousand, forty-one".

Divisors: 1 3 7 11 21 33 77 231 313 939 2191 3443 6573 10329 23339 24101 70017 72303 119173 163373 256729 357519 490119 770187 834211 1310903 1797103 2502633 3932709 5391309 7305107 9176321 21915321 27528963 37301149 51135749 80356177 111903447 153407247 241068531 261108043 410312639 562493239 783324129 1230937917 1687479717 2781378647 2872188473 8344135941 8616565419 19469650529 30595165117 58408951587 91785495351 214166155819 642498467457 870571516511 2611714549533 6094000615577 9576286681621 18282001846731 28728860044863 67034006771347 201102020314041