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13200240224232 = 23327915115368989
BaseRepresentation
bin1100000000010110101110…
…1000010010011111101000
31201201221010102210212110200
43000011223220102133220
53212233042444133412
644024035011312200
72531454154413525
oct300055350223750
951657112725420
1013200240224232
11422a210527a16
1215923658ab660
13749a149a64b9
14338c75d9a14c
1517d57dc5d9dc
hexc016ba127e8

13200240224232 has 96 divisors (see below), whose sum is σ = 36442949088000. Its totient is φ = 4315611830400.

The previous prime is 13200240224231. The next prime is 13200240224239. The reversal of 13200240224232 is 23242204200231.

13200240224232 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 2 + 402 + 24 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13200240224196 and 13200240224205.

It is not an unprimeable number, because it can be changed into a prime (13200240224231) 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 23 ways as a sum of consecutive naturals, for example, 6825607 + ... + 8543382.

It is an arithmetic number, because the mean of its divisors is an integer number (379614053000).

Almost surely, 213200240224232 is an apocalyptic number.

13200240224232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13200240224232 is an abundant number, since it is smaller than the sum of its proper divisors (23242708863768).

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

13200240224232 is a wasteful number, since it uses less digits than its factorization.

13200240224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15369231 (or 15369224 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13200240224232 its reverse (23242204200231), we get a palindrome (36442444424463).

The spelling of 13200240224232 in words is "thirteen trillion, two hundred billion, two hundred forty million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 151 158 237 302 316 453 474 604 632 711 906 948 1208 1359 1422 1812 1896 2718 2844 3624 5436 5688 10872 11929 23858 35787 47716 71574 95432 107361 143148 214722 286296 429444 858888 15368989 30737978 46106967 61475956 92213934 122951912 138320901 184427868 276641802 368855736 553283604 1106567208 1214150131 2320717339 2428300262 3642450393 4641434678 4856600524 6962152017 7284900786 9282869356 9713201048 10927351179 13924304034 14569801572 18565738712 20886456051 21854702358 27848608068 29139603144 41772912102 43709404716 55697216136 83545824204 87418809432 167091648408 183336669781 366673339562 550010009343 733346679124 1100020018686 1466693358248 1650030028029 2200040037372 3300060056058 4400080074744 6600120112116 13200240224232