Search a number
-
+
13433011434100 = 22525919711557267
BaseRepresentation
bin1100001101111001110111…
…0111111111001001110100
31202120011221122220111121201
43003132131313333021310
53230041301411342400
644323012410222244
72554334355145456
oct303363567771164
952504848814551
1013433011434100
1143099a9836135
12160b4a8424984
1376595c5475cb
143462385742d6
1518465425b06a
hexc379ddff274

13433011434100 has 72 divisors (see below), whose sum is σ = 29794174613280. Its totient is φ = 5255319995520.

The previous prime is 13433011434079. The next prime is 13433011434107. The reversal of 13433011434100 is 143411033431.

It is a super-2 number, since 2×134330114341002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433011434107) 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, 4616334 + ... + 6940933.

It is an arithmetic number, because the mean of its divisors is an integer number (413807980740).

Almost surely, 213433011434100 is an apocalyptic number.

13433011434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13433011434100 is an abundant number, since it is smaller than the sum of its proper divisors (16361163179180).

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

13433011434100 is a wasteful number, since it uses less digits than its factorization.

13433011434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11557537 (or 11557530 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13433011434100 its reverse (143411033431), we get a palindrome (13576422467531).

The spelling of 13433011434100 in words is "thirteen trillion, four hundred thirty-three billion, eleven million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 197 236 295 394 590 788 985 1180 1475 1970 2950 3940 4925 5900 9850 11623 19700 23246 46492 58115 116230 232460 290575 581150 1162300 11557267 23114534 46229068 57786335 115572670 231145340 288931675 577863350 681878753 1155726700 1363757506 2276781599 2727515012 3409393765 4553563198 6818787530 9107126396 11383907995 13637575060 17046968825 22767815990 34093937650 45535631980 56919539975 68187875300 113839079950 134330114341 227678159900 268660228682 537320457364 671650571705 1343301143410 2686602286820 3358252858525 6716505717050 13433011434100