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1020111040 = 2651331451
BaseRepresentation
bin111100110011011…
…010100011000000
32122002112000021101
4330303122203000
54042122023130
6245120304144
734164541444
oct7463324300
92562460241
101020111040
1148390a583
12245772054
1313345c000
14996a4824
155e8551ca
hex3ccda8c0

1020111040 has 112 divisors (see below), whose sum is σ = 2633289120. Its totient is φ = 376396800.

The previous prime is 1020111013. The next prime is 1020111041. The reversal of 1020111040 is 401110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020111041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702315 + ... + 703765.

It is an arithmetic number, because the mean of its divisors is an integer number (23511510).

Almost surely, 21020111040 is an apocalyptic number.

1020111040 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 1020111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316644560).

1020111040 is an abundant number, since it is smaller than the sum of its proper divisors (1613178080).

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

1020111040 is an equidigital number, since it uses as much as digits as its factorization.

1020111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1020111040 is about 31939.1771966655. The cubic root of 1020111040 is about 1006.6592361385.

Adding to 1020111040 its reverse (401110201), we get a palindrome (1421221241).

The spelling of 1020111040 in words is "one billion, twenty million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1451 1690 2080 2197 2704 2902 3380 4160 4394 5408 5804 6760 7255 8788 10816 10985 11608 13520 14510 17576 18863 21970 23216 27040 29020 35152 37726 43940 46432 54080 58040 70304 75452 87880 92864 94315 116080 140608 150904 175760 188630 232160 245219 301808 351520 377260 464320 490438 603616 703040 754520 980876 1207232 1226095 1509040 1961752 2452190 3018080 3187847 3923504 4904380 6036160 6375694 7847008 9808760 12751388 15694016 15939235 19617520 25502776 31878470 39235040 51005552 63756940 78470080 102011104 127513880 204022208 255027760 510055520 1020111040