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2120220320020 = 22511167181318833
BaseRepresentation
bin11110110110100110111…
…110101010000100010100
321111200122210120212201021
4132312212332222010110
5234214202400220040
64302003223410524
7306116015235625
oct36664676520424
97450583525637
102120220320020
117481a9107670
122a2ab55b3a44
13124c2229b9ca
1474895187a4c
153a2424a324a
hex1eda6faa114

2120220320020 has 96 divisors (see below), whose sum is σ = 4913328865536. Its totient is φ = 762136012800.

The previous prime is 2120220319991. The next prime is 2120220320087. The reversal of 2120220320020 is 200230220212.

It is a super-2 number, since 2×21202203200202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120220319976 and 2120220320003.

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, 6490524 + ... + 6809356.

It is an arithmetic number, because the mean of its divisors is an integer number (51180509016).

Almost surely, 22120220320020 is an apocalyptic number.

2120220320020 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 2120220320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456664432768).

2120220320020 is an abundant number, since it is smaller than the sum of its proper divisors (2793108545516).

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

2120220320020 is a wasteful number, since it uses less digits than its factorization.

2120220320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319201 (or 319199 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2120220320020 its reverse (200230220212), we get a palindrome (2320450540232).

The spelling of 2120220320020 in words is "two trillion, one hundred twenty billion, two hundred twenty million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 181 220 334 362 668 724 835 905 1670 1810 1837 1991 3340 3620 3674 3982 7348 7964 9185 9955 18370 19910 30227 36740 39820 60454 120908 151135 302270 318833 332497 604540 637666 664994 1275332 1329988 1594165 1662485 3188330 3324970 3507163 6376660 6649940 7014326 14028652 17535815 35071630 53245111 57708773 70143260 106490222 115417546 212980444 230835092 266225555 288543865 532451110 577087730 585696221 634796503 1064902220 1154175460 1171392442 1269593006 2342784884 2539186012 2928481105 3173982515 5856962210 6347965030 9637365091 11713924420 12695930060 19274730182 38549460364 48186825455 96373650910 106011016001 192747301820 212022032002 424044064004 530055080005 1060110160010 2120220320020