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1010011001100 = 2235213291253307
BaseRepresentation
bin11101011001010010101…
…10001101000100001100
310120120000101212222021120
432230221112031010030
5113022000304013400
62051554225000540
7132654004600113
oct16545126150414
93516011788246
101010011001100
1135a385974222
121438b6783150
137432233842a
1436c55c30c7a
151b415598ca0
hexeb2958d10c

1010011001100 has 72 divisors (see below), whose sum is σ = 2922529904448. Its totient is φ = 269314939200.

The previous prime is 1010011001089. The next prime is 1010011001107. The reversal of 1010011001100 is 11001100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1010011001100 is a modest number, since divided by 11001100 gives 10100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1010011001107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3860647 + ... + 4113953.

Almost surely, 21010011001100 is an apocalyptic number.

1010011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010011001100 is an abundant number, since it is smaller than the sum of its proper divisors (1912518903348).

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

1010011001100 is a wasteful number, since it uses less digits than its factorization.

1010011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266615 (or 266608 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010011001100 its reverse (11001100101), we get a palindrome (1021012101201).

Subtracting from 1010011001100 its reverse (11001100101), we obtain a palindrome (999009900999).

The spelling of 1010011001100 in words is "one trillion, ten billion, eleven million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 13291 26582 39873 53164 66455 79746 132910 159492 199365 253307 265820 332275 398730 506614 664550 759921 797460 996825 1013228 1266535 1329100 1519842 1993650 2533070 3039684 3799605 3987300 5066140 6332675 7599210 12665350 15198420 18998025 25330700 37996050 75992100 3366703337 6733406674 10100110011 13466813348 16833516685 20200220022 33667033370 40400440044 50500550055 67334066740 84167583425 101001100110 168335166850 202002200220 252502750275 336670333700 505005500550 1010011001100