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133110041213430 = 232522311295874481
BaseRepresentation
bin11110010001000000011000…
…101110001111100111110110
3122110022012021122020101210100
4132101000120232033213312
5114421333331022312210
61151033524142334530
740015611623640021
oct3621003056174766
9573265248211710
10133110041213430
113945a7191032a6
1212b1974b58a446
1359372b8cb1c18
1424c27bb9261b8
15105c76e8265c0
hex791018b8f9f6

133110041213430 has 96 divisors (see below), whose sum is σ = 347946038818560. Its totient is φ = 35305530808320.

The previous prime is 133110041213323. The next prime is 133110041213441. The reversal of 133110041213430 is 34312140011331.

133110041213430 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 10 + 0 + 4 + 1 + 213 + 430 = 666.

133110041213430 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133110041213394 and 133110041213403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19721790 + ... + 25596270.

It is an arithmetic number, because the mean of its divisors is an integer number (3624437904360).

Almost surely, 2133110041213430 is an apocalyptic number.

133110041213430 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 133110041213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173973019409280).

133110041213430 is an abundant number, since it is smaller than the sum of its proper divisors (214835997605130).

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

133110041213430 is a wasteful number, since it uses less digits than its factorization.

133110041213430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875846 (or 5875843 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133110041213430 its reverse (34312140011331), we get a palindrome (167422181224761).

The spelling of 133110041213430 in words is "one hundred thirty-three trillion, one hundred ten billion, forty-one million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1129 1338 2007 2230 2258 3345 3387 4014 5645 6690 6774 10035 10161 11290 16935 20070 20322 33870 50805 101610 251767 503534 755301 1258835 1510602 2265903 2517670 3776505 4531806 5874481 7553010 11329515 11748962 17623443 22659030 29372405 35246886 52870329 58744810 88117215 105740658 176234430 264351645 528703290 1310009263 2620018526 3930027789 6550046315 6632289049 7860055578 11790083367 13100092630 13264578098 19650138945 19896867147 23580166734 33161445245 39300277890 39793734294 58950416835 59690601441 66322890490 99484335735 117900833670 119381202882 198968671470 298453007205 596906014410 1479000457927 2958000915854 4437001373781 7395002289635 8874002747562 13311004121343 14790004579270 22185006868905 26622008242686 44370013737810 66555020606715 133110041213430