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2121123400 = 2352114312237
BaseRepresentation
bin111111001101101…
…1100011001001000
312110211021020021221
41332123130121020
513321001422100
6550251011424
7103364152144
oct17633343110
95424236257
102121123400
11999356450
124b2439b74
1327a5a5706
141619c8224
15c633b01a
hex7e6dc648

2121123400 has 96 divisors (see below), whose sum is σ = 5394833280. Its totient is φ = 769184000.

The previous prime is 2121123391. The next prime is 2121123413. The reversal of 2121123400 is 43211212.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 947082 + ... + 949318.

It is an arithmetic number, because the mean of its divisors is an integer number (56196180).

Almost surely, 22121123400 is an apocalyptic number.

2121123400 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 2121123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697416640).

2121123400 is an abundant number, since it is smaller than the sum of its proper divisors (3273709880).

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

2121123400 is a wasteful number, since it uses less digits than its factorization.

2121123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2121123400 is about 46055.6554616260. The cubic root of 2121123400 is about 1284.8585288394.

Adding to 2121123400 its reverse (43211212), we get a palindrome (2164334612).

It can be divided in two parts, 212112 and 3400, that added together give a palindrome (215512).

The spelling of 2121123400 in words is "two billion, one hundred twenty-one million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 431 440 550 862 1100 1724 2155 2200 2237 3448 4310 4474 4741 8620 8948 9482 10775 11185 17240 17896 18964 21550 22370 23705 24607 37928 43100 44740 47410 49214 55925 86200 89480 94820 98428 111850 118525 123035 189640 196856 223700 237050 246070 447400 474100 492140 615175 948200 964147 984280 1230350 1928294 2460700 3856588 4820735 4921400 7713176 9641470 10605617 19282940 21211234 24103675 38565880 42422468 48207350 53028085 84844936 96414700 106056170 192829400 212112340 265140425 424224680 530280850 1060561700 2121123400