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1121011020 = 2232519433757
BaseRepresentation
bin100001011010001…
…0100010101001100
32220010101021000200
41002310110111030
54243434323040
6303123053500
736531302463
oct10264242514
92803337020
101121011020
11525866198
12273511290
1314b32933c
14a8c4b9da
1568636630
hex42d1454c

1121011020 has 144 divisors (see below), whose sum is σ = 3592374240. Its totient is φ = 282175488.

The previous prime is 1121011013. The next prime is 1121011049. The reversal of 1121011020 is 201101211.

It is a happy number.

It is a super-2 number, since 2×11210110202 = 2513331413922880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1121010993 and 1121011011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480482 + ... + 1481238.

Almost surely, 21121011020 is an apocalyptic number.

1121011020 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 1121011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796187120).

1121011020 is an abundant number, since it is smaller than the sum of its proper divisors (2471363220).

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

1121011020 is a wasteful number, since it uses less digits than its factorization.

1121011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121011020 is about 33481.5026544509. The cubic root of 1121011020 is about 1038.8112094503.

Adding to 1121011020 its reverse (201101211), we get a palindrome (1322112231).

The spelling of 1121011020 in words is "one billion, one hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 433 570 684 757 855 866 1140 1299 1514 1710 1732 2165 2271 2598 3028 3420 3785 3897 4330 4542 5196 6495 6813 7570 7794 8227 8660 9084 11355 12990 13626 14383 15140 15588 16454 19485 22710 24681 25980 27252 28766 32908 34065 38970 41135 43149 45420 49362 57532 68130 71915 74043 77940 82270 86298 98724 123405 129447 136260 143830 148086 164540 172596 215745 246810 258894 287660 296172 327781 370215 431490 493620 517788 647235 655562 740430 862980 983343 1294470 1311124 1480860 1638905 1966686 2588940 2950029 3277810 3933372 4916715 5900058 6227839 6555620 9833430 11800116 12455678 14750145 18683517 19666860 24911356 29500290 31139195 37367034 56050551 59000580 62278390 74734068 93417585 112101102 124556780 186835170 224202204 280252755 373670340 560505510 1121011020