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1131244420 = 2251923711823
BaseRepresentation
bin100001101101101…
…0110101110000100
32220211122011121111
41003123112232010
54304044310140
6304130254404
740014263455
oct10333265604
92824564544
101131244420
11530615749
12276a27404
131504a01c7
14aa35312c
15694a87ea
hex436d6b84

1131244420 has 96 divisors (see below), whose sum is σ = 2647572480. Its totient is φ = 404046720.

The previous prime is 1131244417. The next prime is 1131244421. The reversal of 1131244420 is 244421311.

It is a happy number.

It is a super-2 number, since 2×11312444202 = 2559427875562272800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131244391 and 1131244400.

It is not an unprimeable number, because it can be changed into a prime (1131244421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619629 + ... + 621451.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 21131244420 is an apocalyptic number.

1131244420 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 1131244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323786240).

1131244420 is an abundant number, since it is smaller than the sum of its proper divisors (1516328060).

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

1131244420 is a wasteful number, since it uses less digits than its factorization.

1131244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1131244420 is about 33633.9771659553. The cubic root of 1131244420 is about 1041.9626461608.

Adding to 1131244420 its reverse (244421311), we get a palindrome (1375665731).

The spelling of 1131244420 in words is "one billion, one hundred thirty-one million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 71 76 92 95 115 142 190 230 284 355 380 437 460 710 874 1349 1420 1633 1748 1823 2185 2698 3266 3646 4370 5396 6532 6745 7292 8165 8740 9115 13490 16330 18230 26980 31027 32660 34637 36460 41929 62054 69274 83858 124108 129433 138548 155135 167716 173185 209645 258866 310270 346370 419290 517732 620540 647165 692740 796651 838580 1294330 1593302 2459227 2588660 2976959 3186604 3983255 4918454 5953918 7966510 9836908 11907836 12296135 14884795 15933020 24592270 29769590 49184540 56562221 59539180 113124442 226248884 282811105 565622210 1131244420