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1121400252 = 2232719323057
BaseRepresentation
bin100001011010111…
…0011010110111100
32220011010000221200
41002311303112330
54244034302002
6303135255500
736534513330
oct10265632674
92804100850
101121400252
11526001675
1227367a590
1314b43455b
14a8d0d7c0
15686b1b1c
hex42d735bc

1121400252 has 72 divisors (see below), whose sum is σ = 3256527456. Its totient is φ = 318726144.

The previous prime is 1121400251. The next prime is 1121400277. The reversal of 1121400252 is 2520041211.

1121400252 is a `hidden beast` number, since 1 + 12 + 1 + 400 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121400251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37108 + ... + 60164.

It is an arithmetic number, because the mean of its divisors is an integer number (45229548).

Almost surely, 21121400252 is an apocalyptic number.

1121400252 is a gapful number since it is divisible by the number (12) 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 1121400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628263728).

1121400252 is an abundant number, since it is smaller than the sum of its proper divisors (2135127204).

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

1121400252 is a wasteful number, since it uses less digits than its factorization.

1121400252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23267 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1121400252 is about 33487.3147923210. The cubic root of 1121400252 is about 1038.9314258648.

Adding to 1121400252 its reverse (2520041211), we get a palindrome (3641441463).

The spelling of 1121400252 in words is "one billion, one hundred twenty-one million, four hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 193 252 386 579 772 1158 1351 1737 2316 2702 3474 4053 5404 6948 8106 12159 16212 23057 24318 46114 48636 69171 92228 138342 161399 207513 276684 322798 415026 484197 645596 830052 968394 1452591 1936788 2905182 4450001 5810364 8900002 13350003 17800004 26700006 31150007 40050009 53400012 62300014 80100018 93450021 124600028 160200036 186900042 280350063 373800084 560700126 1121400252