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2001131132 = 22711131729399
BaseRepresentation
bin111011101000110…
…1101011001111100
312011110110222211212
41313101231121330
513044242144012
6530323103552
7100406222360
oct16721553174
95143428755
102001131132
1193764a490
1247a211bb8
1325b782180
1414dab12a0
15baa37b22
hex7746d67c

2001131132 has 96 divisors (see below), whose sum is σ = 4978713600. Its totient is φ = 677329920.

The previous prime is 2001131131. The next prime is 2001131159. The reversal of 2001131132 is 2311311002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001131131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53369 + ... + 82767.

It is an arithmetic number, because the mean of its divisors is an integer number (51861600).

Almost surely, 22001131132 is an apocalyptic number.

2001131132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489356800).

2001131132 is an abundant number, since it is smaller than the sum of its proper divisors (2977582468).

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

2001131132 is a wasteful number, since it uses less digits than its factorization.

2001131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29451 (or 29449 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2001131132 is about 44734.0042026197. The cubic root of 2001131132 is about 1260.1585279668.

Adding to 2001131132 its reverse (2311311002), we get a palindrome (4312442134).

The spelling of 2001131132 in words is "two billion, one million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 29399 34034 58798 68068 117596 205793 323389 382187 411586 499783 646778 764374 823172 999566 1293556 1528748 1999132 2263723 2675309 3498481 4204057 4527446 5350618 5497613 6497179 6996962 8408114 9054892 10701236 10995226 12994358 13993924 16816228 21990452 25988716 29428399 38483291 45480253 58856798 71468969 76966582 90960506 117713596 142937938 153933164 181921012 285875876 500282783 1000565566 2001131132