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2231300312120 = 2351114961954983
BaseRepresentation
bin100000011110000011110…
…111001100110000111000
321220022101011012010201202
4200132003313030300320
5243024200334441440
64425013433233332
7320130462501245
oct40360367146070
97808334163652
102231300312120
1179031a946830
12300535b62848
13132545462699
1479dd197c5cc
153d0942cd615
hex20783dccc38

2231300312120 has 128 divisors (see below), whose sum is σ = 5522592960000. Its totient is φ = 804619783680.

The previous prime is 2231300312077. The next prime is 2231300312149. The reversal of 2231300312120 is 212130031322.

It is a super-3 number, since 3×22313003121203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2231300312092 and 2231300312101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40554149 + ... + 40609131.

It is an arithmetic number, because the mean of its divisors is an integer number (43145257500).

Almost surely, 22231300312120 is an apocalyptic number.

2231300312120 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 2231300312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761296480000).

2231300312120 is an abundant number, since it is smaller than the sum of its proper divisors (3291292647880).

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

2231300312120 is a wasteful number, since it uses less digits than its factorization.

2231300312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55773 (or 55769 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2231300312120 its reverse (212130031322), we get a palindrome (2443430343442).

The spelling of 2231300312120 in words is "two trillion, two hundred thirty-one billion, three hundred million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 619 745 1192 1238 1490 1639 2476 2980 3095 3278 4952 5960 6190 6556 6809 8195 12380 13112 13618 16390 24760 27236 32780 34045 54472 54983 65560 68090 92231 109966 136180 184462 219932 272360 274915 368924 439864 461155 549830 604813 737848 922310 1014541 1099660 1209626 1844620 2029082 2199320 2419252 3024065 3689240 4058164 4838504 5072705 6048130 8116328 8192467 10145410 12096260 16384934 20290820 24192520 32769868 34034477 40581640 40962335 65539736 68068954 81924670 90117137 136137908 163849340 170172385 180234274 272275816 327698680 340344770 360468548 374379247 450585685 680689540 720937096 748758494 901171370 1361379080 1497516988 1802342740 1871896235 2995033976 3604685480 3743792470 5071137073 7487584940 10142274146 14975169880 20284548292 25355685365 40569096584 50711370730 55782507803 101422741460 111565015606 202845482920 223130031212 278912539015 446260062424 557825078030 1115650156060 2231300312120