Search a number
-
+
13002033201012 = 22322543142024219
BaseRepresentation
bin1011110100110100010110…
…0100011111111101110100
31201000222112001022211201200
42331031011210133331310
53201011130444413022
643353015051052500
72511236334463212
oct275150544377564
951028461284650
1013002033201012
114163149863809
12155ba6a741130
13734117c8873b
1432d432083cb2
1517832ce06bac
hexbd34591ff74

13002033201012 has 36 divisors (see below), whose sum is σ = 32879175026880. Its totient is φ = 4332306745872.

The previous prime is 13002033200999. The next prime is 13002033201083. The reversal of 13002033201012 is 21010233020031.

13002033201012 is a `hidden beast` number, since 1 + 300 + 20 + 3 + 320 + 10 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70920562 + ... + 71103657.

Almost surely, 213002033201012 is an apocalyptic number.

13002033201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13002033201012 is an abundant number, since it is smaller than the sum of its proper divisors (19877141825868).

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

13002033201012 is a wasteful number, since it uses less digits than its factorization.

13002033201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142026772 (or 142026767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13002033201012 its reverse (21010233020031), we get a palindrome (34012266221043).

The spelling of 13002033201012 in words is "thirteen trillion, two billion, thirty-three million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2543 5086 7629 10172 15258 22887 30516 45774 91548 142024219 284048438 426072657 568096876 852145314 1278217971 1704290628 2556435942 5112871884 361167588917 722335177834 1083502766751 1444670355668 2167005533502 3250508300253 4334011067004 6501016600506 13002033201012