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1100010212010 = 232537367900091
BaseRepresentation
bin10000000000011101101…
…101111100101010101010
310220011022121021120222100
4100000131231330222222
5121010310103241020
62201200540234230
7142321164346113
oct20003555745252
93804277246870
101100010212010
1139456a0a6476
1215923323b976
137c965c42498
143b3529a520a
151d93181ba90
hex1001db7caaa

1100010212010 has 96 divisors (see below), whose sum is σ = 2945331447552. Its totient is φ = 284630060160.

The previous prime is 1100010211987. The next prime is 1100010212027. The reversal of 1100010212010 is 102120100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100010211983 and 1100010212001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772065 + ... + 1672155.

It is an arithmetic number, because the mean of its divisors is an integer number (30680535912).

Almost surely, 21100010212010 is an apocalyptic number.

1100010212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100010212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472665723776).

1100010212010 is an abundant number, since it is smaller than the sum of its proper divisors (1845321235542).

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

1100010212010 is a wasteful number, since it uses less digits than its factorization.

1100010212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900508 (or 900505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100010212010 its reverse (102120100011), we get a palindrome (1202130312021).

The spelling of 1100010212010 in words is "one trillion, one hundred billion, ten million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 367 370 555 666 734 1101 1110 1665 1835 2202 3303 3330 3670 5505 6606 11010 13579 16515 27158 33030 40737 67895 81474 122211 135790 203685 244422 407370 611055 900091 1222110 1800182 2700273 4500455 5400546 8100819 9000910 13501365 16201638 27002730 33303367 40504095 66606734 81008190 99910101 166516835 199820202 299730303 330333397 333033670 499550505 599460606 660666794 991000191 999101010 1498651515 1651666985 1982000382 2973000573 2997303030 3303333970 4955000955 5946001146 9910001910 12222335689 14865002865 24444671378 29730005730 36667007067 61111678445 73334014134 110001021201 122223356890 183335035335 220002042402 366670070670 550005106005 1100010212010