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201101301013128 = 233411193917117953
BaseRepresentation
bin101101101110011010001011…
…100111000101101010001000
3222101001002121102210010210120
4231232122023213011222020
5202324320431024410003
61551412355020143240
760234042465422325
oct5556321347055210
9871032542703716
10201101301013128
11590936457a37aa
121a67a942997b20
138829a047682b9
1437934d7bd3b4c
15183b18dd80853
hexb6e68b9c5a88

201101301013128 has 64 divisors (see below), whose sum is σ = 515058694315200. Its totient is φ = 65393315512320.

The previous prime is 201101301013117. The next prime is 201101301013153. The reversal of 201101301013128 is 821310103101102.

201101301013128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201101301013098 and 201101301013107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3189000 + ... + 20306952.

It is an arithmetic number, because the mean of its divisors is an integer number (8047792098675).

Almost surely, 2201101301013128 is an apocalyptic number.

It is an amenable number.

201101301013128 is an abundant number, since it is smaller than the sum of its proper divisors (313957393302072).

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

201101301013128 is a wasteful number, since it uses less digits than its factorization.

201101301013128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17129942 (or 17129938 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 201101301013128 in words is "two hundred one trillion, one hundred one billion, three hundred one million, thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 11939 23878 35817 47756 71634 95512 143268 286536 489499 978998 1468497 1957996 2936994 3915992 5873988 11747976 17117953 34235906 51353859 68471812 102707718 136943624 205415436 410830872 701836073 1403672146 2105508219 2807344292 4211016438 5614688584 8422032876 16844065752 204371240867 408742481734 613113722601 817484963468 1226227445202 1634969926936 2452454890404 4904909780808 8379220875547 16758441751094 25137662626641 33516883502188 50275325253282 67033767004376 100550650506564 201101301013128