Search a number
-
+
201013101213330 = 23577313112400601
BaseRepresentation
bin101101101101001000000010…
…011111100011011010010010
3222100201122221122022002002210
4231231020002133203122102
5202321344312402311310
61551304051024252550
760224501015456010
oct5555100237433222
9870648848262083
10201013101213330
115905a1a526377a
121a665828a71156
1388215b98a6253
14378d12c0218b0
151838c2aa9b820
hexb6d2027e3692

201013101213330 has 64 divisors (see below), whose sum is σ = 558902963259648. Its totient is φ = 45316456473600.

The previous prime is 201013101213317. The next prime is 201013101213359. The reversal of 201013101213330 is 33312101310102.

It is a happy number.

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 = 201013101213297 and 201013101213306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6556184971 + ... + 6556215630.

It is an arithmetic number, because the mean of its divisors is an integer number (8732858800932).

Almost surely, 2201013101213330 is an apocalyptic number.

201013101213330 is an abundant number, since it is smaller than the sum of its proper divisors (357889862046318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201013101213330 is a wasteful number, since it uses less digits than its factorization.

201013101213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112400691.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 201013101213330 its reverse (33312101310102), we get a palindrome (234325202523432).

The spelling of 201013101213330 in words is "two hundred one trillion, thirteen billion, one hundred one million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2555 3066 5110 7665 15330 13112400601 26224801202 39337201803 65562003005 78674403606 91786804207 131124006010 183573608414 196686009015 275360412621 393372018030 458934021035 550720825242 917868042070 957205243873 1376802063105 1914410487746 2753604126210 2871615731619 4786026219365 5743231463238 6700436707111 9572052438730 13400873414222 14358078658095 20101310121333 28716157316190 33502183535555 40202620242666 67004367071110 100506550606665 201013101213330