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133041232012304 = 247111912572199931
BaseRepresentation
bin11110010000000000010011…
…010111111110010000010000
3122110001121200012120210212202
4132100000103113332100100
5114414221420343343204
61150542144230342332
740010624516244140
oct3620002327762020
9573047605523782
10133041232012304
1139433519103030
1212b083474ba9a8
1359309714899b5
1424bd331126920
15105aa93a34e1e
hex7900135fe410

133041232012304 has 160 divisors (see below), whose sum is σ = 324312074698752. Its totient is φ = 51362205696000.

The previous prime is 133041232012279. The next prime is 133041232012307. The reversal of 133041232012304 is 403210232140331.

It is not an unprimeable number, because it can be changed into a prime (133041232012307) 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 31 ways as a sum of consecutive naturals, for example, 59375219 + ... + 61575149.

Almost surely, 2133041232012304 is an apocalyptic number.

133041232012304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133041232012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162156037349376).

133041232012304 is an abundant number, since it is smaller than the sum of its proper divisors (191270842686448).

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

133041232012304 is a wasteful number, since it uses less digits than its factorization.

133041232012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200405 (or 2200399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 133041232012304 its reverse (403210232140331), we get a palindrome (536251464152635).

The spelling of 133041232012304 in words is "one hundred thirty-three trillion, forty-one billion, two hundred thirty-two million, twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 191 257 308 382 514 616 764 1028 1232 1337 1528 1799 2056 2101 2674 2827 3056 3598 4112 4202 5348 5654 7196 8404 10696 11308 14392 14707 16808 19789 21392 22616 28784 29414 33616 39578 45232 49087 58828 79156 98174 117656 158312 196348 235312 316624 343609 392696 539957 687218 785392 1079914 1374436 2159828 2199931 2748872 3779699 4319656 4399862 5497744 7559398 8639312 8799724 15118796 15399517 17599448 24199241 30237592 30799034 35198896 48398482 60475184 61598068 96796964 123196136 169394687 193593928 246392272 338789374 387187856 420186821 565382267 677578748 840373642 1130764534 1355157496 1680747284 2261529068 2710314992 2941307747 3361494568 3957675869 4523058136 4622055031 5882615494 6219204937 6722989136 7915351738 9046116272 9244110062 11765230988 12438409874 15830703476 18488220124 23530461976 24876819748 31661406952 32354385217 36976440248 43534434559 47060923952 49753639496 63322813904 64708770434 73952880496 87068869118 99507278992 107988012997 129417540868 174137738236 215976025994 258835081736 348275476472 431952051988 517670163472 696550952944 755916090979 863904103976 1187868142967 1511832181958 1727808207952 2375736285934 3023664363916 4751472571868 6047328727832 8315077000769 9502945143736 12094657455664 16630154001538 19005890287472 33260308003076 66520616006152 133041232012304