Search a number
-
+
1043090100 = 2232521389153
BaseRepresentation
bin111110001011000…
…100101010110100
32200200202110121200
4332023010222310
54114012340400
6251301012500
734564056003
oct7613045264
92620673550
101043090100
11495885038
122513b4130
131381463a0
149c766c3a
1561893b00
hex3e2c4ab4

1043090100 has 108 divisors (see below), whose sum is σ = 3521048076. Its totient is φ = 256757760.

The previous prime is 1043090099. The next prime is 1043090117. The reversal of 1043090100 is 10903401.

1043090100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 221235876 + 821854224 = 14874^2 + 28668^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32877 + ... + 56276.

It is an arithmetic number, because the mean of its divisors is an integer number (32602297).

Almost surely, 21043090100 is an apocalyptic number.

1043090100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1043090100 is an abundant number, since it is smaller than the sum of its proper divisors (2477957976).

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

1043090100 is a wasteful number, since it uses less digits than its factorization.

1043090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89186 (or 89176 counting only the distinct ones).

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

The square root of 1043090100 is about 32296.9054245140. The cubic root of 1043090100 is about 1014.1618615834.

Adding to 1043090100 its reverse (10903401), we get a palindrome (1053993501).

The spelling of 1043090100 in words is "one billion, forty-three million, ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 89153 178306 267459 356612 445765 534918 802377 891530 1069836 1158989 1337295 1604754 1783060 2228825 2317978 2674590 3209508 3476967 4011885 4457650 4635956 5349180 5794945 6686475 6953934 8023770 8915300 10430901 11589890 13372950 13907868 16047540 17384835 20059425 20861802 23179780 26745900 28974725 34769670 40118850 41723604 52154505 57949450 69539340 80237700 86924175 104309010 115898900 173848350 208618020 260772525 347696700 521545050 1043090100