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133034402223135 = 325711328703130211
BaseRepresentation
bin11110001111111001111100…
…010010011001010000011111
3122110000222001020010120110100
4132033321330102121100133
5114414113423432120020
61150535054412312143
740010263335062310
oct3617717422312037
9573028036116410
10133034402223135
1139430633945376
1212b06b60172653
13593012350b02a
1424bcc84036607
15105a7e413da90
hex78fe7c49941f

133034402223135 has 96 divisors (see below), whose sum is σ = 265878286921728. Its totient is φ = 60274971509760.

The previous prime is 133034402223131. The next prime is 133034402223157. The reversal of 133034402223135 is 531322204430331.

133034402223135 is a `hidden beast` number, since 1 + 3 + 30 + 344 + 0 + 22 + 231 + 35 = 666.

It is not a de Polignac number, because 133034402223135 - 22 = 133034402223131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133034402223135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133034402223131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021618180 + ... + 1021748390.

It is an arithmetic number, because the mean of its divisors is an integer number (2769565488768).

Almost surely, 2133034402223135 is an apocalyptic number.

133034402223135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133034402223135 is a deficient number, since it is larger than the sum of its proper divisors (132843884698593).

133034402223135 is a wasteful number, since it uses less digits than its factorization.

133034402223135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159045 (or 159042 counting only the distinct ones).

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

Adding to 133034402223135 its reverse (531322204430331), we get a palindrome (664356606653466).

The spelling of 133034402223135 in words is "one hundred thirty-three trillion, thirty-four billion, four hundred two million, two hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 113 315 339 565 791 1017 1695 2373 3955 5085 7119 11865 28703 35595 86109 130211 143515 200921 258327 390633 430545 602763 651055 911477 1004605 1171899 1291635 1808289 1953165 2734431 3013815 3243439 4557385 5859495 8203293 9041445 9730317 13672155 14713843 16217195 22704073 29190951 41016465 44141529 48651585 68112219 73569215 102996901 113520365 132424587 145954755 204336657 220707645 308990703 340561095 514984505 662122935 926972109 1021683285 1544953515 3737446333 4634860545 11212338999 18687231665 26162124331 33637016997 56061694995 78486372993 130810621655 168185084985 235459118979 392431864965 422331435629 1177295594895 1266994306887 2111657178145 2956320049403 3800982920661 6334971534435 8868960148209 14781600247015 19004914603305 26606880444627 44344800741045 133034402223135