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133314311430 = 233523167128549
BaseRepresentation
bin111110000101000100…
…1101111010100000110
3110202002220101201012000
41330022021233110012
54141011430431210
6141124352210130
712426436643616
oct1741211572406
9422086351160
10133314311430
11515a14a9393
1221a06839946
13c757727c61
14664972ca46
153703ce1ac0
hex1f0a26f506

133314311430 has 128 divisors (see below), whose sum is σ = 373185792000. Its totient is φ = 33800925312.

The previous prime is 133314311399. The next prime is 133314311441. The reversal of 133314311430 is 34113413331.

133314311430 is a `hidden beast` number, since 1 + 3 + 3 + 314 + 311 + 4 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133314311394 and 133314311403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972796 + ... + 1101344.

It is an arithmetic number, because the mean of its divisors is an integer number (2915514000).

Almost surely, 2133314311430 is an apocalyptic number.

133314311430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133314311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186592896000).

133314311430 is an abundant number, since it is smaller than the sum of its proper divisors (239871480570).

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

133314311430 is a wasteful number, since it uses less digits than its factorization.

133314311430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128755 (or 128749 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133314311430 its reverse (34113413331), we get a palindrome (167427724761).

The spelling of 133314311430 in words is "one hundred thirty-three billion, three hundred fourteen million, three hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 167 207 230 270 334 345 414 501 621 690 835 1002 1035 1242 1503 1670 2070 2505 3006 3105 3841 4509 5010 6210 7515 7682 9018 11523 15030 19205 22545 23046 34569 38410 45090 57615 69138 103707 115230 128549 172845 207414 257098 345690 385647 518535 642745 771294 1037070 1156941 1285490 1928235 2313882 2956627 3470823 3856470 5784705 5913254 6941646 8869881 11569410 14783135 17354115 17739762 21467683 26609643 29566270 34708230 42935366 44349405 53219286 64403049 79828929 88698810 107338415 128806098 133048215 159657858 193209147 214676830 266096430 322015245 386418294 399144645 493756709 579627441 644030490 798289290 966045735 987513418 1159254882 1481270127 1932091470 2468783545 2898137205 2962540254 4443810381 4937567090 5796274410 7406350635 8887620762 13331431143 14812701270 22219051905 26662862286 44438103810 66657155715 133314311430