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1122101300 = 2252113199499
BaseRepresentation
bin100001011100001…
…1110100000110100
32220012102122121102
41002320132200310
54244224220200
6303202305232
736543463235
oct10270364064
92805378542
101122101300
11526440351
12273958218
1314b61b688
14a905308c
156879e6d5
hex42e1e834

1122101300 has 72 divisors (see below), whose sum is σ = 2473800000. Its totient is φ = 441745920.

The previous prime is 1122101287. The next prime is 1122101311. The reversal of 1122101300 is 31012211.

It is a super-2 number, since 2×11221013002 = 2518222654923380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248451 + ... + 2248949.

Almost surely, 21122101300 is an apocalyptic number.

1122101300 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 1122101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236900000).

1122101300 is an abundant number, since it is smaller than the sum of its proper divisors (1351698700).

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

1122101300 is a wasteful number, since it uses less digits than its factorization.

1122101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1122101300 is about 33497.7805234914. The cubic root of 1122101300 is about 1039.1478781899.

Adding to 1122101300 its reverse (31012211), we get a palindrome (1153113511).

The spelling of 1122101300 in words is "one billion, one hundred twenty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 199 226 398 452 499 565 796 995 998 1130 1990 1996 2260 2495 2825 3980 4975 4990 5650 9950 9980 11300 12475 19900 22487 24950 44974 49900 56387 89948 99301 112435 112774 198602 224870 225548 281935 397204 449740 496505 562175 563870 993010 1124350 1127740 1409675 1986020 2248700 2482525 2819350 4965050 5638700 9930100 11221013 22442026 44884052 56105065 112210130 224420260 280525325 561050650 1122101300