Search a number
-
+
13311434434230 = 2325724972040151
BaseRepresentation
bin1100000110110100111101…
…0100100010011010110110
31202010120010202022222222200
43001231033110202122312
53221043304203343410
644151104421205330
72542501516536012
oct301551724423266
952116122288880
1013311434434230
114272390789739
1215aba18560846
1375735571b32a
143403c3a03542
151813daaeb3c0
hexc1b4f5226b6

13311434434230 has 48 divisors (see below), whose sum is σ = 34610223888864. Its totient is φ = 3549665145600.

The previous prime is 13311434434157. The next prime is 13311434434253. The reversal of 13311434434230 is 3243443411331.

13311434434230 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 143 + 443 + 42 + 30 = 666.

13311434434230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×133114344342304 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5504655 + ... + 7544805.

It is an arithmetic number, because the mean of its divisors is an integer number (721046331018).

Almost surely, 213311434434230 is an apocalyptic number.

13311434434230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13311434434230 is an abundant number, since it is smaller than the sum of its proper divisors (21298789454634).

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

13311434434230 is a wasteful number, since it uses less digits than its factorization.

13311434434230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112661 (or 2112658 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 13311434434230 its reverse (3243443411331), we get a palindrome (16554877845561).

The spelling of 13311434434230 in words is "thirteen trillion, three hundred eleven billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 72497 144994 217491 362485 434982 652473 724970 1087455 1304946 2040151 2174910 3262365 4080302 6120453 6524730 10200755 12240906 18361359 20401510 30602265 36722718 61204530 91806795 183613590 147904827047 295809654094 443714481141 739524135235 887428962282 1331143443423 1479048270470 2218572405705 2662286886846 4437144811410 6655717217115 13311434434230