Search a number
-
+
2011010001132 = 2231198315498397
BaseRepresentation
bin11101010000111001100…
…010010110100011101100
321010020202202002212011210
4131100321202112203230
5230422022030014012
64135502323314420
7265201462653516
oct35207142264354
97106682085153
102011010001132
1170595679a680
122858b721ba10
13117839580c42
146d494c04bb6
153749e89523c
hex1d4398968ec

2011010001132 has 48 divisors (see below), whose sum is σ = 5124142340352. Its totient is φ = 608776994880.

The previous prime is 2011010001083. The next prime is 2011010001149. The reversal of 2011010001132 is 2311000101102.

It is a super-2 number, since 2×20110100011322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7619443 + ... + 7878954.

It is an arithmetic number, because the mean of its divisors is an integer number (106752965424).

Almost surely, 22011010001132 is an apocalyptic number.

2011010001132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2011010001132 is an abundant number, since it is smaller than the sum of its proper divisors (3113132339220).

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

2011010001132 is a wasteful number, since it uses less digits than its factorization.

2011010001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15499398 (or 15499396 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2011010001132 its reverse (2311000101102), we get a palindrome (4322010102234).

The spelling of 2011010001132 in words is "two trillion, eleven billion, ten million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 983 1966 2949 3932 5898 10813 11796 21626 32439 43252 64878 129756 15498397 30996794 46495191 61993588 92990382 170482367 185980764 340964734 511447101 681929468 1022894202 2045788404 15234924251 30469848502 45704772753 60939697004 91409545506 167584166761 182819091012 335168333522 502752500283 670336667044 1005505000566 2011010001132