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10201013532 = 2233331461619
BaseRepresentation
bin10011000000000011…
…10001110100011100
3222022221000011212000
421200001301310130
5131342424413112
64404123042300
7510535120143
oct114001616434
928287004760
1010201013532
11436522a4a6
121b88370390
13c6753aba8
146cab2a75a
153ea8677dc
hex260071d1c

10201013532 has 96 divisors (see below), whose sum is σ = 26627462400. Its totient is φ = 3377246400.

The previous prime is 10201013519. The next prime is 10201013533. The reversal of 10201013532 is 23531010201.

10201013532 is a `hidden beast` number, since 10 + 20 + 101 + 3 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201013533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16479519 + ... + 16480137.

It is an arithmetic number, because the mean of its divisors is an integer number (277369400).

Almost surely, 210201013532 is an apocalyptic number.

10201013532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201013532 is an abundant number, since it is smaller than the sum of its proper divisors (16426448868).

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

10201013532 is a wasteful number, since it uses less digits than its factorization.

10201013532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10201013532 its reverse (23531010201), we get a palindrome (33732023733).

The spelling of 10201013532 in words is "ten billion, two hundred one million, thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 331 461 619 662 922 993 1238 1324 1383 1844 1857 1986 2476 2766 2979 3714 3972 4149 5532 5571 5958 7428 8298 8937 11142 11916 12447 16596 16713 17874 22284 24894 33426 35748 49788 66852 152591 204889 285359 305182 409778 457773 570718 610364 614667 819556 856077 915546 1141436 1229334 1373319 1712154 1831092 1844001 2458668 2568231 2746638 3424308 3688002 4119957 5136462 5493276 5532003 7376004 7704693 8239914 10272924 11064006 15409386 16479828 22128012 30818772 94453829 188907658 283361487 377815316 566722974 850084461 1133445948 1700168922 2550253383 3400337844 5100506766 10201013532