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2120614223160 = 233571701335491
BaseRepresentation
bin11110110110111110011…
…101010001110100111000
321111201200020210020020110
4132312332131101310320
5234221004220120120
64302110254224320
7306131540325366
oct36667635216470
97451606706213
102120614223160
11748390498954
122a2ba54b50a0
13124c85a871a4
14748d1602636
153a266d602e0
hex1edbe751d38

2120614223160 has 128 divisors (see below), whose sum is σ = 6452547816960. Its totient is φ = 557437171200.

The previous prime is 2120614223137. The next prime is 2120614223213. The reversal of 2120614223160 is 613224160212.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 59733015 + ... + 59768505.

It is an arithmetic number, because the mean of its divisors is an integer number (50410529820).

Almost surely, 22120614223160 is an apocalyptic number.

2120614223160 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 2120614223160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226273908480).

2120614223160 is an abundant number, since it is smaller than the sum of its proper divisors (4331933593800).

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

2120614223160 is a wasteful number, since it uses less digits than its factorization.

2120614223160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42589 (or 42585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 2120614223160 its reverse (613224160212), we get a palindrome (2733838383372).

The spelling of 2120614223160 in words is "two trillion, one hundred twenty billion, six hundred fourteen million, two hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 7013 8520 14026 21039 28052 35065 35491 42078 56104 70130 70982 84156 105195 106473 140260 141964 168312 177455 210390 212946 280520 283928 354910 420780 425892 497923 532365 709820 841560 851784 995846 1064730 1419640 1493769 1991692 2129460 2489615 2519861 2987538 3983384 4258920 4979230 5039722 5975076 7468845 7559583 9958460 10079444 11950152 12599305 14937690 15119166 19916920 20158888 25198610 29875380 30238332 37797915 50397220 59750760 60476664 75595830 100794440 151191660 248898383 302383320 497796766 746695149 995593532 1244491915 1493390298 1991187064 2488983830 2986780596 3733475745 4977967660 5973561192 7466951490 9955935320 14933902980 17671785193 29867805960 35343570386 53015355579 70687140772 88358925965 106030711158 141374281544 176717851930 212061422316 265076777895 353435703860 424122844632 530153555790 706871407720 1060307111580 2120614223160