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133401223430325 = 3452110959402297
BaseRepresentation
bin11110010101001111100100…
…100010010000000010110101
3122111100000212121221122010000
4132111033210202100002311
5114441121201144232300
61151415402004021513
740045630450642044
oct3625174442200265
9574300777848100
10133401223430325
1139562160955644
1212b66073991899
1359588b202c496
1424d292192655b
151065112cedc00
hex7953e48900b5

133401223430325 has 60 divisors (see below), whose sum is σ = 247328001975780. Its totient is φ = 71083163485440.

The previous prime is 133401223430311. The next prime is 133401223430327. The reversal of 133401223430325 is 523034322104331.

133401223430325 is a `hidden beast` number, since 1 + 3 + 3 + 401 + 223 + 4 + 3 + 0 + 3 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35290336281489 + 98110887148836 = 5940567^2 + 9905094^2 .

It is not a de Polignac number, because 133401223430325 - 230 = 133400149688501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133401223430325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133401223430327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27455424 + ... + 31946873.

It is an arithmetic number, because the mean of its divisors is an integer number (4122133366263).

Almost surely, 2133401223430325 is an apocalyptic number.

133401223430325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133401223430325 is a deficient number, since it is larger than the sum of its proper divisors (113926778545455).

133401223430325 is a wasteful number, since it uses less digits than its factorization.

133401223430325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59403428 (or 59403414 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 133401223430325 its reverse (523034322104331), we get a palindrome (656435545534656).

The spelling of 133401223430325 in words is "one hundred thirty-three trillion, four hundred one billion, two hundred twenty-three million, four hundred thirty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1109 2025 3327 5545 9981 16635 27725 29943 49905 83175 89829 149715 249525 449145 748575 2245725 59402297 178206891 297011485 534620673 891034455 1485057425 1603862019 2673103365 4455172275 4811586057 8019310095 13365516825 24057930285 40096550475 65877147373 120289651425 197631442119 329385736865 592894326357 988157210595 1646928684325 1778682979071 2964471631785 4940786052975 5336048937213 8893414895355 14822358158925 26680244686065 44467074476775 133401223430325