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1121333232 = 24359616491
BaseRepresentation
bin100001011010110…
…0010111111110000
32220010222122000110
41002311202333300
54244030130412
6303134021320
736534114045
oct10265427760
92803878013
101121333232
11525a66288
12273647840
1314b40cbb6
14a8cd31cc
156869bd3c
hex42d62ff0

1121333232 has 80 divisors (see below), whose sum is σ = 2994629760. Its totient is φ = 361363200.

The previous prime is 1121333207. The next prime is 1121333263. The reversal of 1121333232 is 2323331211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1121333199 and 1121333208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169507 + ... + 175997.

It is an arithmetic number, because the mean of its divisors is an integer number (37432872).

Almost surely, 21121333232 is an apocalyptic number.

1121333232 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 1121333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497314880).

1121333232 is an abundant number, since it is smaller than the sum of its proper divisors (1873296528).

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

1121333232 is a wasteful number, since it uses less digits than its factorization.

1121333232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6616 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1121333232 is about 33486.3140999424. The cubic root of 1121333232 is about 1038.9107283570.

Adding to 1121333232 its reverse (2323331211), we get a palindrome (3444664443).

The spelling of 1121333232 in words is "one billion, one hundred twenty-one million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 61 118 122 177 183 236 244 354 366 472 488 708 732 944 976 1416 1464 2832 2928 3599 6491 7198 10797 12982 14396 19473 21594 25964 28792 38946 43188 51928 57584 77892 86376 103856 155784 172752 311568 382969 395951 765938 791902 1148907 1187853 1531876 1583804 2297814 2375706 3063752 3167608 4595628 4751412 6127504 6335216 9191256 9502824 18382512 19005648 23361109 46722218 70083327 93444436 140166654 186888872 280333308 373777744 560666616 1121333232