Search a number
-
+
1311002090 = 2517193113093
BaseRepresentation
bin100111000100100…
…0100110111101010
310101100212210202222
41032021010313222
510141104031330
6334031154042
744326222346
oct11611046752
93340783688
101311002090
11613032302
12307075922
1317b7ba9a8
14c6186626
157a1650e5
hex4e244dea

1311002090 has 64 divisors (see below), whose sum is σ = 2715171840. Its totient is φ = 452459520.

The previous prime is 1311002089. The next prime is 1311002153. The reversal of 1311002090 is 902001131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93584 + ... + 106676.

It is an arithmetic number, because the mean of its divisors is an integer number (42424560).

Almost surely, 21311002090 is an apocalyptic number.

1311002090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311002090 is an abundant number, since it is smaller than the sum of its proper divisors (1404169750).

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

1311002090 is a wasteful number, since it uses less digits than its factorization.

1311002090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1311002090 is about 36207.7628416891. The cubic root of 1311002090 is about 1094.4631105141.

The spelling of 1311002090 in words is "one billion, three hundred eleven million, two thousand, ninety".

Divisors: 1 2 5 10 17 19 31 34 38 62 85 95 155 170 190 310 323 527 589 646 1054 1178 1615 2635 2945 3230 5270 5890 10013 13093 20026 26186 50065 65465 100130 130930 222581 248767 405883 445162 497534 811766 1112905 1243835 2029415 2225810 2487670 4058830 4229039 6900011 7711777 8458078 13800022 15423554 21145195 34500055 38558885 42290390 69000110 77117770 131100209 262200418 655501045 1311002090