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1041663100 = 2252172326641
BaseRepresentation
bin111110000101101…
…000010001111100
32200121001222010211
4332011220101330
54113131204400
6251210242204
734545663442
oct7605502174
92617058124
101041663100
11494a9a9a5
12250a26364
13137a669ca
149c4b4b92
15616b0dba
hex3e16847c

1041663100 has 72 divisors (see below), whose sum is σ = 2497527648. Its totient is φ = 375091200.

The previous prime is 1041663071. The next prime is 1041663131. The reversal of 1041663100 is 13661401.

It is a happy number.

1041663100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10416631002 = 2170124027803220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25780 + ... + 52420.

It is an arithmetic number, because the mean of its divisors is an integer number (34687884).

Almost surely, 21041663100 is an apocalyptic number.

1041663100 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 1041663100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248763824).

1041663100 is an abundant number, since it is smaller than the sum of its proper divisors (1455864548).

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

1041663100 is a wasteful number, since it uses less digits than its factorization.

1041663100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26695 (or 26688 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1041663100 is about 32274.8059637854. The cubic root of 1041663100 is about 1013.6991756243.

The spelling of 1041663100 in words is "one billion, forty-one million, six hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 575 782 850 1150 1564 1700 1955 2300 3910 7820 9775 19550 26641 39100 53282 106564 133205 266410 452897 532820 612743 666025 905794 1225486 1332050 1811588 2264485 2450972 2664100 3063715 4528970 6127430 9057940 10416631 11322425 12254860 15318575 20833262 22644850 30637150 41666524 45289700 52083155 61274300 104166310 208332620 260415775 520831550 1041663100