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1121221400 = 2352131725367
BaseRepresentation
bin100001011010100…
…0111101100011000
32220010202221121112
41002311013230120
54244013041100
6303131355452
736533140025
oct10265075430
92803687545
101121221400
1152599a262
122735b2b88
1314b3a1020
14a8ca454c
1568678b35
hex42d47b18

1121221400 has 96 divisors (see below), whose sum is σ = 2972622240. Its totient is φ = 389621760.

The previous prime is 1121221373. The next prime is 1121221433. The reversal of 1121221400 is 41221211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31517 + ... + 56883.

It is an arithmetic number, because the mean of its divisors is an integer number (30964815).

Almost surely, 21121221400 is an apocalyptic number.

1121221400 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 1121221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486311120).

1121221400 is an abundant number, since it is smaller than the sum of its proper divisors (1851400840).

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

1121221400 is a wasteful number, since it uses less digits than its factorization.

1121221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25413 (or 25404 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1121221400 is about 33484.6442418013. The cubic root of 1121221400 is about 1038.8761899094.

Adding to 1121221400 its reverse (41221211), we get a palindrome (1162442611).

The spelling of 1121221400 in words is "one billion, one hundred twenty-one million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 25367 44200 50734 101468 126835 202936 253670 329771 431239 507340 634175 659542 862478 1014680 1268350 1319084 1648855 1724956 2156195 2536700 2638168 3297710 3449912 4312390 5073400 5606107 6595420 8244275 8624780 10780975 11212214 13190840 16488550 17249560 21561950 22424428 28030535 32977100 43123900 44848856 56061070 65954200 86247800 112122140 140152675 224244280 280305350 560610700 1121221400