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2121023112 = 2331329534423
BaseRepresentation
bin111111001101100…
…0011111010001000
312110211002010201120
41332123003322020
513320440214422
6550244515240
7103363253565
oct17633037210
95424063646
102121023112
1199929806a
124b23abb20
1327a56bb80
1416199d86c
15c631b45c
hex7e6c3e88

2121023112 has 128 divisors (see below), whose sum is σ = 6020179200. Its totient is φ = 618089472.

The previous prime is 2121023053. The next prime is 2121023119. The reversal of 2121023112 is 2113201212.

It is a junction number, because it is equal to n+sod(n) for n = 2121023091 and 2121023100.

It is not an unprimeable number, because it can be changed into a prime (2121023119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477333 + ... + 481755.

It is an arithmetic number, because the mean of its divisors is an integer number (47032650).

Almost surely, 22121023112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010089600).

2121023112 is an abundant number, since it is smaller than the sum of its proper divisors (3899156088).

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

2121023112 is a wasteful number, since it uses less digits than its factorization.

2121023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2121023112 is about 46054.5666791036. The cubic root of 2121023112 is about 1284.8382788902.

Adding to 2121023112 its reverse (2113201212), we get a palindrome (4234224324).

The spelling of 2121023112 in words is "two billion, one hundred twenty-one million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 53 58 78 87 104 106 116 156 159 174 212 232 312 318 348 377 424 636 689 696 754 1131 1272 1378 1508 1537 2067 2262 2756 3016 3074 4134 4423 4524 4611 5512 6148 8268 8846 9048 9222 12296 13269 16536 17692 18444 19981 26538 35384 36888 39962 53076 57499 59943 79924 106152 114998 119886 128267 159848 172497 229996 234419 239772 256534 344994 384801 459992 468838 479544 513068 689988 703257 769602 937676 1026136 1379976 1406514 1539204 1667471 1875352 2813028 3047447 3078408 3334942 5002413 5626056 6094894 6669884 6798151 9142341 10004826 12189788 13339768 13596302 18284682 20009652 20394453 24379576 27192604 36569364 40019304 40788906 54385208 73138728 81577812 88375963 163155624 176751926 265127889 353503852 530255778 707007704 1060511556 2121023112