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2211231301120 = 29518117592713
BaseRepresentation
bin100000001011010111101…
…001111111111000000000
321211101120111210202012001
4200023113221333320000
5242212100203113440
64411454200513344
7315520241640142
oct40132751777000
97741514722161
102211231301120
11782861471826
122b8674a7b854
131306976a444a
147904a450c92
153c7bc47eb9a
hex202d7a7fe00

2211231301120 has 160 divisors (see below), whose sum is σ = 5336060970240. Its totient is φ = 878781726720.

The previous prime is 2211231301117. The next prime is 2211231301127. The reversal of 2211231301120 is 211031321122.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×22112313011202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211231301127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815048884 + ... + 815051596.

It is an arithmetic number, because the mean of its divisors is an integer number (33350381064).

Almost surely, 22211231301120 is an apocalyptic number.

2211231301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211231301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668030485120).

2211231301120 is an abundant number, since it is smaller than the sum of its proper divisors (3124829669120).

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

2211231301120 is a wasteful number, since it uses less digits than its factorization.

2211231301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2211231301120 its reverse (211031321122), we get a palindrome (2422262622242).

The spelling of 2211231301120 in words is "two trillion, two hundred eleven billion, two hundred thirty-one million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 512 640 724 905 1280 1448 1759 1810 2560 2713 2896 3518 3620 5426 5792 7036 7240 8795 10852 11584 13565 14072 14480 17590 21704 23168 27130 28144 28960 35180 43408 46336 54260 56288 57920 70360 86816 92672 108520 112576 115840 140720 173632 217040 225152 231680 281440 318379 347264 434080 450304 463360 491053 562880 636758 694528 868160 900608 982106 1125760 1273516 1389056 1591895 1736320 1964212 2251520 2455265 2547032 3183790 3472640 3928424 4503040 4772167 4910530 5094064 6367580 6945280 7856848 9544334 9821060 10188128 12735160 15713696 19088668 19642120 20376256 23860835 25470320 31427392 38177336 39284240 40752512 47721670 50940640 62854784 76354672 78568480 81505024 95443340 101881280 125709568 152709344 157136960 163010048 190886680 203762560 251419136 305418688 314273920 381773360 407525120 610837376 628547840 763546720 815050240 863762227 1221674752 1257095680 1527093440 1727524454 2443349504 3054186880 3455048908 4318811135 6108373760 6910097816 8637622270 12216747520 13820195632 17275244540 27640391264 34550489080 55280782528 69100978160 110561565056 138201956320 221123130112 276403912640 442246260224 552807825280 1105615650560 2211231301120