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1121032120 = 235132979941
BaseRepresentation
bin100001011010001…
…1001011110111000
32220010102022222011
41002310121132320
54243441011440
6303123335304
736531421135
oct10264313670
92803368864
101121032120
1152588002a
12273521534
1314b335b20
14a8c5558c
156863c9ea
hex42d197b8

1121032120 has 128 divisors (see below), whose sum is σ = 2848608000. Its totient is φ = 394168320.

The previous prime is 1121032117. The next prime is 1121032147. The reversal of 1121032120 is 212301211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1121032120.

It is a congruent number.

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, 1190850 + ... + 1191790.

It is an arithmetic number, because the mean of its divisors is an integer number (22254750).

Almost surely, 21121032120 is an apocalyptic number.

1121032120 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 1121032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424304000).

1121032120 is an abundant number, since it is smaller than the sum of its proper divisors (1727575880).

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

1121032120 is a wasteful number, since it uses less digits than its factorization.

1121032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

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

The square root of 1121032120 is about 33481.8177523264. The cubic root of 1121032120 is about 1038.8177270131.

Adding to 1121032120 its reverse (212301211), we get a palindrome (1333333331).

The spelling of 1121032120 in words is "one billion, one hundred twenty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 79 104 116 130 145 158 232 260 290 316 377 395 520 580 632 754 790 941 1027 1160 1508 1580 1882 1885 2054 2291 3016 3160 3764 3770 4108 4582 4705 5135 7528 7540 8216 9164 9410 10270 11455 12233 15080 18328 18820 20540 22910 24466 27289 29783 37640 41080 45820 48932 54578 59566 61165 74339 91640 97864 109156 119132 122330 136445 148678 148915 218312 238264 244660 272890 297356 297830 354757 371695 489320 545780 594712 595660 709514 743390 966407 1091560 1191320 1419028 1486780 1773785 1932814 2155831 2838056 2973560 3547570 3865628 4311662 4832035 7095140 7731256 8623324 9664070 10779155 14190280 17246648 19328140 21558310 28025803 38656280 43116620 56051606 86233240 112103212 140129015 224206424 280258030 560516060 1121032120