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1121300100 = 2232523373697
BaseRepresentation
bin100001011010101…
…1010111010000100
32220010220221120100
41002311122322010
54244023100400
6303133204100
736533615334
oct10265327204
92803827510
101121300100
11525a433a8
12273630630
1314b3caaab
14a8cc50c4
1568692100
hex42d5ae84

1121300100 has 108 divisors (see below), whose sum is σ = 3526035604. Its totient is φ = 298045440.

The previous prime is 1121300099. The next prime is 1121300107. The reversal of 1121300100 is 10031211.

It can be written as a sum of positive squares in 6 ways, for example, as 260112384 + 861187716 = 16128^2 + 29346^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1121300107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301452 + ... + 305148.

Almost surely, 21121300100 is an apocalyptic number.

1121300100 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 1121300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763017802).

1121300100 is an abundant number, since it is smaller than the sum of its proper divisors (2404735504).

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

1121300100 is a wasteful number, since it uses less digits than its factorization.

1121300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1121300100 is about 33485.8193867195. The cubic root of 1121300100 is about 1038.9004960346.

Adding to 1121300100 its reverse (10031211), we get a palindrome (1131331311).

The spelling of 1121300100 in words is "one billion, one hundred twenty-one million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 337 450 674 900 1011 1348 1685 2022 3033 3370 3697 4044 5055 6066 6740 7394 8425 10110 11091 12132 14788 15165 16850 18485 20220 22182 25275 30330 33273 33700 36970 44364 50550 55455 60660 66546 73940 75825 92425 101100 110910 133092 151650 166365 184850 221820 277275 303300 332730 369700 554550 665460 831825 1109100 1245889 1663650 2491778 3327300 3737667 4983556 6229445 7475334 11213001 12458890 14950668 18688335 22426002 24917780 31147225 37376670 44852004 56065005 62294450 74753340 93441675 112130010 124588900 186883350 224260020 280325025 373766700 560650050 1121300100