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110011010000990 = 257109157604715187
BaseRepresentation
bin11001000000110111101111…
…001011000010100001011110
3112102111221122102210210010112
4121000313233023002201132
5103404410022030012430
61025550205454210022
732113014245135030
oct3100675713024136
9472457572723115
10110011010000990
113206445318996a
1210408a547b3912
13494ccbc2bac47
141d247c0295c50
15cab98b0ca195
hex640def2c285e

110011010000990 has 128 divisors (see below), whose sum is σ = 229892411105280. Its totient is φ = 37125399347712.

The previous prime is 110011010000989. The next prime is 110011010001071. The reversal of 110011010000990 is 99000010110011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7243754177 + ... + 7243769363.

It is an arithmetic number, because the mean of its divisors is an integer number (1796034461760).

Almost surely, 2110011010000990 is an apocalyptic number.

110011010000990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110011010000990 is an abundant number, since it is smaller than the sum of its proper divisors (119881401104290).

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

110011010000990 is a wasteful number, since it uses less digits than its factorization.

110011010000990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21514.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 110011010000990 in words is "one hundred ten trillion, eleven billion, ten million, nine hundred ninety", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 109 157 218 314 545 763 785 1090 1099 1526 1570 2198 3815 5495 6047 7630 10990 12094 15187 17113 30235 30374 34226 42329 60470 75935 84658 85565 106309 119791 151870 171130 211645 212618 239582 423290 531545 598955 659123 949379 1063090 1197910 1318246 1655383 1898758 2384359 3295615 3310766 4613861 4746895 4768718 6591230 6645653 8276915 9227722 9493790 11587681 11921795 13291306 16553830 16690513 23069305 23175362 23843590 33228265 33381026 46138610 57938405 66456530 83452565 91835789 103482311 115876810 166905130 183671578 206964622 259895131 459178945 517411555 519790262 642850523 724376177 918357890 1034823110 1285701046 1299475655 1448752354 1819265917 2598951310 3214252615 3621880885 3638531834 6428505230 7243761770 9096329585 10010101001 14418218873 18192659170 20020202002 28836437746 50050505005 70070707007 72091094365 100101010010 100927532111 140141414014 144182188730 201855064222 350353535035 504637660555 700707070070 1009275321110 1571585857157 3143171714314 7857929285785 11001101000099 15715858571570 22002202000198 55005505000495 110011010000990