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1033011113220 = 223551609132103
BaseRepresentation
bin11110000100001000100…
…00101010110100000100
310122202101022122201200000
433002010100222310010
5113411101321110340
62110320405121300
7134426656404432
oct17020420526404
93582338581600
101033011113220
1136910892a949
121482553b9230
1376549436628
1437dd874bd52
151bd0e8cbd30
hexf08442ad04

1033011113220 has 144 divisors (see below), whose sum is σ = 3251565582720. Its totient is φ = 275296340736.

The previous prime is 1033011113129. The next prime is 1033011113237. The reversal of 1033011113220 is 223111103301.

1033011113220 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 1 + 11 + 322 + 0 = 666.

It is a super-2 number, since 2×10330111132202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1033011113193 and 1033011113202.

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, 7753689 + ... + 7885791.

Almost surely, 21033011113220 is an apocalyptic number.

1033011113220 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 1033011113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625782791360).

1033011113220 is an abundant number, since it is smaller than the sum of its proper divisors (2218554469500).

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

1033011113220 is a wasteful number, since it uses less digits than its factorization.

1033011113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133736 (or 133722 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1033011113220 its reverse (223111103301), we get a palindrome (1256122216521).

The spelling of 1033011113220 in words is "one trillion, thirty-three billion, eleven million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1609 1620 2430 3218 4827 4860 6436 8045 9654 14481 16090 19308 24135 28962 32180 43443 48270 57924 72405 86886 96540 130329 132103 144810 173772 217215 260658 264206 289620 390987 396309 434430 521316 528412 651645 660515 781974 792618 868860 1188927 1303290 1321030 1563948 1585236 1954935 1981545 2377854 2606580 2642060 3566781 3909870 3963090 4755708 5944635 7133562 7819740 7926180 10700343 11889270 14267124 17833905 21400686 23778540 32101029 35667810 42801372 53501715 64202058 71335620 107003430 128404116 160505145 212553727 214006860 321010290 425107454 637661181 642020580 850214908 1062768635 1275322362 1912983543 2125537270 2550644724 3188305905 3825967086 4251074540 5738950629 6376611810 7651934172 9564917715 11477901258 12753223620 17216851887 19129835430 22955802516 28694753145 34433703774 38259670860 51650555661 57389506290 68867407548 86084259435 103301111322 114779012580 172168518870 206602222644 258252778305 344337037740 516505556610 1033011113220