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133000322023233 = 327197241103942797
BaseRepresentation
bin11110001111011010001100…
…111100101111111101000001
3122102220201002010020001001100
4132033122030330233331001
5114413034124414220413
61150511300543325013
740004645652132030
oct3617321474577501
9572821063201040
10133000322023233
113941813551a805
1212b0042a8b0769
135929b51a24182
1424bb36db5c717
15105999c1eba73
hex78f68cf2ff41

133000322023233 has 96 divisors (see below), whose sum is σ = 221804681978880. Its totient is φ = 75226411653120.

The previous prime is 133000322023223. The next prime is 133000322023277. The reversal of 133000322023233 is 332320223000331.

133000322023233 is a `hidden beast` number, since 1 + 3 + 300 + 0 + 32 + 2 + 0 + 2 + 323 + 3 = 666.

It is not a de Polignac number, because 133000322023233 - 210 = 133000322022209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133000322023197 and 133000322023206.

It is not an unprimeable number, because it can be changed into a prime (133000322023223) 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, 3107680591 + ... + 3107723387.

It is an arithmetic number, because the mean of its divisors is an integer number (2310465437280).

Almost surely, 2133000322023233 is an apocalyptic number.

It is an amenable number.

133000322023233 is a deficient number, since it is larger than the sum of its proper divisors (88804359955647).

133000322023233 is a wasteful number, since it uses less digits than its factorization.

133000322023233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44287 (or 44284 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 133000322023233 its reverse (332320223000331), we get a palindrome (465320545023564).

The spelling of 133000322023233 in words is "one hundred thirty-three trillion, three hundred twenty-two million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 197 241 591 723 1039 1379 1687 1773 2169 3117 4137 5061 7273 9351 12411 15183 21819 42797 47477 65457 128391 142431 204683 250399 299579 332339 385173 427293 614049 751197 898737 997017 1432781 1752793 1842147 2253591 2696211 2991051 4298343 5258379 8431009 10314077 12895029 15775137 25293027 30942231 44466083 49328603 59017063 72198539 75879081 92826693 133398249 147985809 177051189 216595617 311262581 345300221 400194747 443957427 531153567 649786851 933787743 1035900663 2031873169 2801363229 3107701989 6095619507 8759818351 10716326003 14223112183 18286858521 26279455053 32148978009 42669336549 61318728457 75014282021 78838365159 96446934027 128008009647 183956185371 225042846063 551868556113 675128538189 2111116222591 6333348667773 14777813558137 19000046003319 44333440674411 133000322023233