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2122301120 = 26543891733
BaseRepresentation
bin111111001111111…
…1011111011000000
312110220111001211012
41332133323323000
513321302113440
6550332140052
7103410155552
oct17637737300
95426431735
102122301120
11999a90275
124b2907628
1327a8c87a4
14161c134d2
15c64bee65
hex7e7fbec0

2122301120 has 112 divisors (see below), whose sum is σ = 5232379680. Its totient is φ = 819388416.

The previous prime is 2122301107. The next prime is 2122301141. The reversal of 2122301120 is 211032212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122301095 and 2122301104.

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, 1223774 + ... + 1225506.

Almost surely, 22122301120 is an apocalyptic number.

2122301120 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 2122301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616189840).

2122301120 is an abundant number, since it is smaller than the sum of its proper divisors (3110078560).

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

2122301120 is a wasteful number, since it uses less digits than its factorization.

2122301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2122301120 is about 46068.4395220850. The cubic root of 2122301120 is about 1285.0962839227.

Adding to 2122301120 its reverse (211032212), we get a palindrome (2333333332).

The spelling of 2122301120 in words is "two billion, one hundred twenty-two million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 89 160 172 178 215 320 344 356 430 445 688 712 860 890 1376 1424 1720 1733 1780 2752 2848 3440 3466 3560 3827 5696 6880 6932 7120 7654 8665 13760 13864 14240 15308 17330 19135 27728 28480 30616 34660 38270 55456 61232 69320 74519 76540 110912 122464 138640 149038 153080 154237 244928 277280 298076 306160 308474 372595 554560 596152 612320 616948 745190 771185 1192304 1224640 1233896 1490380 1542370 2384608 2467792 2980760 3084740 4769216 4935584 5961520 6169480 6632191 9871168 11923040 12338960 13264382 23846080 24677920 26528764 33160955 49355840 53057528 66321910 106115056 132643820 212230112 265287640 424460224 530575280 1061150560 2122301120