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1121300400 = 243521184947
BaseRepresentation
bin100001011010101…
…1010111110110000
32220010220221222110
41002311122332300
54244023103100
6303133205320
736533616243
oct10265327660
92803827873
101121300400
11525a43650
12273630840
1314b3cac7c
14a8cc525a
1568692250
hex42d5afb0

1121300400 has 120 divisors (see below), whose sum is σ = 3918481344. Its totient is φ = 271827200.

The previous prime is 1121300387. The next prime is 1121300413. The reversal of 1121300400 is 40031211.

It is a happy number.

1121300400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1121300387) and next prime (1121300413).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 29274 + ... + 55673.

Almost surely, 21121300400 is an apocalyptic number.

1121300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121300400 is an abundant number, since it is smaller than the sum of its proper divisors (2797180944).

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

1121300400 is a wasteful number, since it uses less digits than its factorization.

1121300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84979 (or 84968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1121300400 is about 33485.8238662273. The cubic root of 1121300400 is about 1038.9005886861.

Adding to 1121300400 its reverse (40031211), we get a palindrome (1161331611).

The spelling of 1121300400 in words is "one billion, one hundred twenty-one million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 84947 169894 254841 339788 424735 509682 679576 849470 934417 1019364 1274205 1359152 1698940 1868834 2038728 2123675 2548410 2803251 3397880 3737668 4077456 4247350 4672085 5096820 5606502 6371025 6795760 7475336 8494700 9344170 10193640 11213004 12742050 14016255 14950672 16989400 18688340 20387280 22426008 23360425 25484100 28032510 33978800 37376680 44852016 46720850 50968200 56065020 70081275 74753360 93441700 101936400 112130040 140162550 186883400 224260080 280325100 373766800 560650200 1121300400