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1121231220 = 2235103397457
BaseRepresentation
bin100001011010100…
…1010000101110100
32220010210110002020
41002311022011310
54244013344340
6303131513140
736533210454
oct10265120564
92803713066
101121231220
115259a667a
122735b87b0
1314b3a5635
14a8ca7d64
156867b9d0
hex42d4a174

1121231220 has 96 divisors (see below), whose sum is σ = 3184866048. Its totient is φ = 294700032.

The previous prime is 1121231203. The next prime is 1121231257. The reversal of 1121231220 is 221321211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121231220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2453232 + ... + 2453688.

It is an arithmetic number, because the mean of its divisors is an integer number (33175688).

Almost surely, 21121231220 is an apocalyptic number.

1121231220 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 1121231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592433024).

1121231220 is an abundant number, since it is smaller than the sum of its proper divisors (2063634828).

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

1121231220 is a wasteful number, since it uses less digits than its factorization.

1121231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1121231220 is about 33484.7908758588. The cubic root of 1121231220 is about 1038.8792228324.

Adding to 1121231220 its reverse (221321211), we get a palindrome (1342552431).

The spelling of 1121231220 in words is "one billion, one hundred twenty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 397 412 457 515 618 794 914 1030 1191 1236 1371 1545 1588 1828 1985 2060 2285 2382 2742 3090 3970 4570 4764 5484 5955 6180 6855 7940 9140 11910 13710 23820 27420 40891 47071 81782 94142 122673 141213 163564 181429 188284 204455 235355 245346 282426 362858 408910 470710 490692 544287 564852 613365 706065 725716 817820 907145 941420 1088574 1226730 1412130 1814290 2177148 2453460 2721435 2824260 3628580 5442870 10885740 18687187 37374374 56061561 74748748 93435935 112123122 186871870 224246244 280307805 373743740 560615610 1121231220