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1010110111002 = 232294345001787
BaseRepresentation
bin11101011001011110100…
…00010001110100011010
310120120021022101021111200
432230233100101310122
5113022201142023002
62052012125135030
7132656320164216
oct16545720216432
93516238337450
101010110111002
1135a426907a33
121439239ba476
1374339a29a45
1436c6506d946
151b41e124b1c
hexeb2f411d1a

1010110111002 has 48 divisors (see below), whose sum is σ = 2316692046240. Its totient is φ = 317532602016.

The previous prime is 1010110110979. The next prime is 1010110111069. The reversal of 1010110111002 is 2001110110101.

1010110111002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10101101110022 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22478448 + ... + 22523339.

It is an arithmetic number, because the mean of its divisors is an integer number (48264417630).

Almost surely, 21010110111002 is an apocalyptic number.

1010110111002 is an abundant number, since it is smaller than the sum of its proper divisors (1306581935238).

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

1010110111002 is a wasteful number, since it uses less digits than its factorization.

1010110111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45001867 (or 45001864 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010110111002 its reverse (2001110110101), we get a palindrome (3011220221103).

Subtracting 1010110111002 from its reverse (2001110110101), we obtain a palindrome (990999999099).

The spelling of 1010110111002 in words is "one trillion, ten billion, one hundred ten million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1247 2494 3741 7482 11223 22446 45001787 90003574 135005361 270010722 405016083 810032166 1305051823 1935076841 2610103646 3870153682 3915155469 5805230523 7830310938 11610461046 11745466407 17415691569 23490932814 34831383138 56117228389 112234456778 168351685167 336703370334 505055055501 1010110111002