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2121123320 = 2351713922441
BaseRepresentation
bin111111001101101…
…1100010111111000
312110211021020011222
41332123130113320
513321001421240
6550251011212
7103364152001
oct17633342770
95424236158
102121123320
11999356388
124b2439b08
1327a5a5674
141619c81a8
15c633aeb5
hex7e6dc5f8

2121123320 has 64 divisors (see below), whose sum is σ = 5089845600. Its totient is φ = 792760320.

The previous prime is 2121123299. The next prime is 2121123341. The reversal of 2121123320 is 233211212.

It is an interprime number because it is at equal distance from previous prime (2121123299) and next prime (2121123341).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83300 + ... + 105740.

Almost surely, 22121123320 is an apocalyptic number.

2121123320 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 2121123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544922800).

2121123320 is an abundant number, since it is smaller than the sum of its proper divisors (2968722280).

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

2121123320 is a wasteful number, since it uses less digits than its factorization.

2121123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22608 (or 22604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2121123320 is about 46055.6545931116. The cubic root of 2121123320 is about 1284.8585126862.

Adding to 2121123320 its reverse (233211212), we get a palindrome (2354334532).

The spelling of 2121123320 in words is "two billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 139 170 278 340 556 680 695 1112 1390 2363 2780 4726 5560 9452 11815 18904 22441 23630 44882 47260 89764 94520 112205 179528 224410 381497 448820 762994 897640 1525988 1907485 3051976 3119299 3814970 6238598 7629940 12477196 15259880 15596495 24954392 31192990 53028083 62385980 106056166 124771960 212112332 265140415 424224664 530280830 1060561660 2121123320