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1111011001020 = 2232543971479809
BaseRepresentation
bin10000001010101101011…
…010101000001010111100
310221012201021012120112100
4100022231122220022330
5121200322304013040
62210220313305100
7143160613456224
oct20125532501274
93835637176470
101111011001020
113991a4823038
1215b3a3405190
13809ca084cab
143bab79dd084
151dd774b4b30
hex102ad6a82bc

1111011001020 has 144 divisors (see below), whose sum is σ = 3483993633120. Its totient is φ = 286396121088.

The previous prime is 1111011001007. The next prime is 1111011001057. The reversal of 1111011001020 is 201001101111.

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 = 1111011000993 and 1111011001011.

It is a congruent number.

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, 10876 + ... + 1490684.

It is an arithmetic number, because the mean of its divisors is an integer number (24194400230).

Almost surely, 21111011001020 is an apocalyptic number.

1111011001020 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 1111011001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741996816560).

1111011001020 is an abundant number, since it is smaller than the sum of its proper divisors (2372982632100).

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

1111011001020 is a wasteful number, since it uses less digits than its factorization.

1111011001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479964 (or 1479959 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1111011001020 its reverse (201001101111), we get a palindrome (1312012102131).

The spelling of 1111011001020 in words is "one trillion, one hundred eleven billion, eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 97 129 172 180 194 215 258 291 387 388 430 485 516 582 645 774 860 873 970 1164 1290 1455 1548 1746 1935 1940 2580 2910 3492 3870 4171 4365 5820 7740 8342 8730 12513 16684 17460 20855 25026 37539 41710 50052 62565 75078 83420 125130 150156 187695 250260 375390 750780 1479809 2959618 4439427 5919236 7399045 8878854 13318281 14798090 17757708 22197135 26636562 29596180 44394270 53273124 63631787 66591405 88788540 127263574 133182810 143541473 190895361 254527148 266365620 287082946 318158935 381790722 430624419 572686083 574165892 636317870 717707365 763581444 861248838 954476805 1145372166 1272635740 1291873257 1435414730 1722497676 1908953610 2153122095 2290744332 2583746514 2863430415 2870829460 3817907220 4306244190 5167493028 5726860830 6172283339 6459366285 8612488380 11453721660 12344566678 12918732570 18516850017 24689133356 25837465140 30861416695 37033700034 55550550051 61722833390 74067400068 92584250085 111101100102 123445666780 185168500170 222202200204 277752750255 370337000340 555505500510 1111011001020