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1111010001010 = 257213296014237
BaseRepresentation
bin10000001010101101010…
…110110100000001110010
310221012201012022202202221
4100022231112310001302
5121200322030013020
62210220240031254
7143160602122600
oct20125526640162
93835635282687
101111010001010
113991a41aa788
1215b3a300252a
13809c9ac4a80
143bab781c870
151dd773686aa
hex102ad5b4072

1111010001010 has 96 divisors (see below), whose sum is σ = 2591655438960. Its totient is φ = 339491593728.

The previous prime is 1111010000977. The next prime is 1111010001131. The reversal of 1111010001010 is 101000101111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 456896235481 + 654113765529 = 675941^2 + 808773^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1111010000984 and 1111010001002.

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 47 ways as a sum of consecutive naturals, for example, 2822389 + ... + 3191848.

Almost surely, 21111010001010 is an apocalyptic number.

1111010001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1111010001010 is an abundant number, since it is smaller than the sum of its proper divisors (1480645437950).

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

1111010001010 is a wasteful number, since it uses less digits than its factorization.

1111010001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014300 (or 6014293 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1111010001010 its reverse (101000101111), we get a palindrome (1212010102121).

The spelling of 1111010001010 in words is "one trillion, one hundred eleven billion, ten million, one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 29 35 49 58 65 70 91 98 130 145 182 203 245 290 377 406 455 490 637 754 910 1015 1274 1421 1885 2030 2639 2842 3185 3770 5278 6370 7105 13195 14210 18473 26390 36946 92365 184730 6014237 12028474 30071185 42099659 60142370 78185081 84199318 156370162 174412873 210498295 294697613 348825746 390925405 420996590 547295567 589395226 781850810 872064365 1094591134 1220890111 1473488065 1744128730 2267367349 2441780222 2736477835 2946976130 3831068969 4534734698 5472955670 6104450555 7662137938 8546230777 11336836745 12208901110 15871571443 17092461554 19155344845 22673673490 31743142886 38310689690 42731153885 79357857215 85462307770 111101000101 158715714430 222202000202 555505000505 1111010001010