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1244211100 = 2252117189179
BaseRepresentation
bin100101000101001…
…0010011110011100
310012201012110202121
41022022102132130
510022004223400
6323243432324
742555422416
oct11212223634
93181173677
101244211100
11589363240
122a88256a4
1316aa039b2
14bb35b9b6
157437021a
hex4a29279c

1244211100 has 144 divisors (see below), whose sum is σ = 3037305600. Its totient is φ = 438592000.

The previous prime is 1244211097. The next prime is 1244211109. The reversal of 1244211100 is 11124421.

It is a happy number.

It is a super-2 number, since 2×12442111002 = 3096122522726420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244211109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6950811 + ... + 6950989.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 21244211100 is an apocalyptic number.

1244211100 is a gapful number since it is divisible by the number (10) 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 1244211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518652800).

1244211100 is an abundant number, since it is smaller than the sum of its proper divisors (1793094500).

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

1244211100 is a wasteful number, since it uses less digits than its factorization.

1244211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1244211100 is about 35273.3766458501. The cubic root of 1244211100 is about 1075.5518637524.

Adding to 1244211100 its reverse (11124421), we get a palindrome (1255335521).

It can be divided in two parts, 124421 and 1100, that added together give a palindrome (125521).

The spelling of 1244211100 in words is "one billion, two hundred forty-four million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 89 100 110 142 178 179 220 275 284 355 356 358 445 550 710 716 781 890 895 979 1100 1420 1562 1775 1780 1790 1958 1969 2225 3124 3550 3580 3905 3916 3938 4450 4475 4895 6319 7100 7810 7876 8900 8950 9790 9845 12638 12709 15620 15931 17900 19525 19580 19690 24475 25276 25418 31595 31862 39050 39380 48950 49225 50836 63190 63545 63724 69509 78100 79655 97900 98450 126380 127090 139018 139799 157975 159310 175241 196900 254180 278036 279598 315950 317725 318620 347545 350482 398275 559196 631900 635450 695090 698995 700964 796550 876205 1131101 1270900 1390180 1397990 1593100 1737725 1752410 2262202 2795980 3475450 3494975 3504820 4381025 4524404 5655505 6950900 6989950 8762050 11311010 12442111 13979900 17524100 22622020 24884222 28277525 49768444 56555050 62210555 113110100 124421110 248842220 311052775 622105550 1244211100