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133003420345341 = 33713431696118043
BaseRepresentation
bin11110001111011101000101…
…100111111010001111111101
3122102221000002001021002222000
4132033131011213322033331
5114413112001102022331
61150512532223212513
740005115513341060
oct3617350547721775
9572830061232860
10133003420345341
1139419485435a97
1212b00b54447139
13592a2268b2570
1424bb58543a8d7
151059ace2130e6
hex78f7459fa3fd

133003420345341 has 128 divisors (see below), whose sum is σ = 243124428718080. Its totient is φ = 69978942489600.

The previous prime is 133003420345319. The next prime is 133003420345351. The reversal of 133003420345341 is 143543024300331.

133003420345341 is a `hidden beast` number, since 1 + 3 + 300 + 3 + 4 + 2 + 0 + 3 + 4 + 5 + 341 = 666.

It is not a de Polignac number, because 133003420345341 - 223 = 133003411956733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133003420345296 and 133003420345305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003420345351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7371460266 + ... + 7371478308.

It is an arithmetic number, because the mean of its divisors is an integer number (1899409599360).

Almost surely, 2133003420345341 is an apocalyptic number.

It is an amenable number.

133003420345341 is a deficient number, since it is larger than the sum of its proper divisors (110121008372739).

133003420345341 is a wasteful number, since it uses less digits than its factorization.

133003420345341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25464 (or 25458 counting only the distinct ones).

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

Adding to 133003420345341 its reverse (143543024300331), we get a palindrome (276546444645672).

The spelling of 133003420345341 in words is "one hundred thirty-three trillion, three billion, four hundred twenty million, three hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 431 819 1293 2457 3017 3879 5603 6961 9051 11637 16809 18043 20883 27153 39221 48727 50427 54129 62649 81459 90493 117663 126301 146181 151281 162387 187947 234559 271479 352989 378903 438543 487161 633451 703677 814437 1058967 1136709 1315629 1641913 1900353 2111031 2443311 3000191 3410127 4925739 5701059 6333093 7776533 9000573 14777217 17103177 21001337 23329599 27001719 39002483 44331651 54435731 63004011 69988797 81005157 101094929 117007449 125597323 163307193 189012033 209966391 273017381 303284787 351022347 376791969 489921579 567036099 707664503 819052143 879181261 909854361 1053067041 1130375907 1469764737 1632765199 2122993509 2457156429 2637543783 2729563083 3391127721 4898295597 6368980527 7371469287 7912631349 11429356393 14694886791 19106941581 23737894047 34288069179 44084660373 54132446213 102864207537 162397338639 308592622611 378927123491 487192015917 703721800769 1136781370473 1461576047751 2111165402307 3410344111419 4926052605383 6333496206921 10231032334257 14778157816149 19000488620763 44334473448447 133003420345341