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1121231020 = 2257134314327
BaseRepresentation
bin100001011010100…
…1010000010101100
32220010210102210211
41002311022002230
54244013343040
6303131512204
736533210050
oct10265120254
92803712724
101121231020
115259a6508
122735b8664
1314b3a5510
14a8ca7c60
156867b8ea
hex42d4a0ac

1121231020 has 96 divisors (see below), whose sum is σ = 2965552128. Its totient is φ = 346574592.

The previous prime is 1121231003. The next prime is 1121231053. The reversal of 1121231020 is 201321211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71097 + ... + 85423.

It is an arithmetic number, because the mean of its divisors is an integer number (30891168).

Almost surely, 21121231020 is an apocalyptic number.

1121231020 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 1121231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482776064).

1121231020 is an abundant number, since it is smaller than the sum of its proper divisors (1844321108).

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

1121231020 is a wasteful number, since it uses less digits than its factorization.

1121231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14399 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1121231020 is about 33484.7878894282. The cubic root of 1121231020 is about 1038.8791610622.

Adding to 1121231020 its reverse (201321211), we get a palindrome (1322552231).

The spelling of 1121231020 in words is "one billion, one hundred twenty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 260 301 364 430 455 559 602 860 910 1118 1204 1505 1820 2236 2795 3010 3913 5590 6020 7826 11180 14327 15652 19565 28654 39130 57308 71635 78260 100289 143270 186251 200578 286540 372502 401156 501445 616061 745004 931255 1002890 1232122 1303757 1862510 2005780 2464244 2607514 3080305 3725020 4312427 5215028 6160610 6518785 8008793 8624854 12321220 13037570 16017586 17249708 21562135 26075140 32035172 40043965 43124270 56061551 80087930 86248540 112123102 160175860 224246204 280307755 560615510 1121231020