Search a number
-
+
1100034663090 = 235113790092929
BaseRepresentation
bin10000000000011111001…
…011001110001010110010
310220011101022021211112220
4100000133023032022302
5121010332333204330
62201203212301510
7142321612234056
oct20003713161262
93804338254486
101100034663090
11394581986980
1215923b471896
137c96b02388c
143b355d2bc66
151d933a4b710
hex1001f2ce2b2

1100034663090 has 64 divisors (see below), whose sum is σ = 2957931077760. Its totient is φ = 259467632640.

The previous prime is 1100034663073. The next prime is 1100034663107. The reversal of 1100034663090 is 903664300011.

It is an interprime number because it is at equal distance from previous prime (1100034663073) and next prime (1100034663107).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45034255 + ... + 45058674.

It is an arithmetic number, because the mean of its divisors is an integer number (46217673090).

Almost surely, 21100034663090 is an apocalyptic number.

1100034663090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100034663090 is an abundant number, since it is smaller than the sum of its proper divisors (1857896414670).

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

1100034663090 is a wasteful number, since it uses less digits than its factorization.

1100034663090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90092987.

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 1100034663090 in words is "one trillion, one hundred billion, thirty-four million, six hundred sixty-three thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210 90092929 180185858 270278787 450464645 540557574 900929290 991022219 1351393935 1982044438 2702787870 2973066657 3333438373 4955111095 5946133314 6666876746 9910222190 10000315119 14865333285 16667191865 20000630238 29730666570 33334383730 36667822103 50001575595 73335644206 100003151190 110003466309 183339110515 220006932618 366678221030 550017331545 1100034663090