Search a number
-
+
2211312031320 = 233572969886667
BaseRepresentation
bin100000001011011100011…
…101111101011001011000
321211101210010201021012110
4200023130131331121120
5242212231340000240
64411510203112320
7315522242064150
oct40133435753130
97741703637173
102211312031320
117828a2aa15a7
122b8697b126a0
131306ab32bcb2
1479057067760
153c7c45c9c80
hex202dc77d658

2211312031320 has 128 divisors (see below), whose sum is σ = 7584203404800. Its totient is φ = 505271940096.

The previous prime is 2211312031297. The next prime is 2211312031351. The reversal of 2211312031320 is 231302131122.

2211312031320 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050627 + ... + 2937293.

It is an arithmetic number, because the mean of its divisors is an integer number (59251589100).

Almost surely, 22211312031320 is an apocalyptic number.

2211312031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211312031320 is an abundant number, since it is smaller than the sum of its proper divisors (5372891373480).

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

2211312031320 is a wasteful number, since it uses less digits than its factorization.

2211312031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889657 (or 889653 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2211312031320 its reverse (231302131122), we get a palindrome (2442614162442).

The spelling of 2211312031320 in words is "two trillion, two hundred eleven billion, three hundred twelve million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2969 5938 8907 11876 14845 17814 20783 23752 29690 35628 41566 44535 59380 62349 71256 83132 89070 103915 118760 124698 166264 178140 207830 249396 311745 356280 415660 498792 623490 831320 886667 1246980 1773334 2493960 2660001 3546668 4433335 5320002 6206669 7093336 8866670 10640004 12413338 13300005 17733340 18620007 21280008 24826676 26600010 31033345 35466680 37240014 49653352 53200020 62066690 74480028 93100035 106400040 124133380 148960056 186200070 248266760 372400140 744800280 2632514323 5265028646 7897542969 10530057292 13162571615 15795085938 18427600261 21060114584 26325143230 31590171876 36855200522 39487714845 52650286460 55282800783 63180343752 73710401044 78975429690 92138001305 105300572920 110565601566 147420802088 157950859380 184276002610 221131203132 276414003915 315901718760 368552005220 442262406264 552828007830 737104010440 1105656015660 2211312031320