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133211323321032 = 233111576553490453
BaseRepresentation
bin11110010010011110101101…
…100110110100101011001000
3122110122212201011101120000210
4132102132231212310223020
5114430013242232233112
61151152234225401120
740026125526435405
oct3622365546645310
9573585634346023
10133211323321032
1139499672225860
1212b352b67991a0
135943a0a3035c8
1424c7668d6b2ac
1510601eb3b9b3c
hex7927ad9b4ac8

133211323321032 has 128 divisors (see below), whose sum is σ = 365674184300160. Its totient is φ = 40103749969920.

The previous prime is 133211323320997. The next prime is 133211323321049. The reversal of 133211323321032 is 230123323112331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271363518 + ... + 271853970.

It is an arithmetic number, because the mean of its divisors is an integer number (2856829564845).

Almost surely, 2133211323321032 is an apocalyptic number.

133211323321032 is a gapful number since it is divisible by the number (12) 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 133211323321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182837092150080).

133211323321032 is an abundant number, since it is smaller than the sum of its proper divisors (232462860979128).

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

133211323321032 is a wasteful number, since it uses less digits than its factorization.

133211323321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497183 (or 497179 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 133211323321032 its reverse (230123323112331), we get a palindrome (363334646433363).

The spelling of 133211323321032 in words is "one hundred thirty-three trillion, two hundred eleven billion, three hundred twenty-three million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6553 6908 10362 13106 13816 19659 20724 26212 39318 41448 52424 72083 78636 144166 157272 216249 288332 432498 490453 576664 864996 980906 1028821 1471359 1729992 1961812 2057642 2942718 3086463 3923624 4115284 5394983 5885436 6172926 8230568 10789966 11317031 11770872 12345852 16184949 21579932 22634062 24691704 32369898 33951093 43159864 45268124 64739796 67902186 77001121 90536248 129479592 135804372 154002242 231003363 271608744 308004484 462006726 616008968 847012331 924013452 1694024662 1848026904 2541036993 3213938509 3388049324 5082073986 6427877018 6776098648 9641815527 10164147972 12855754036 19283631054 20328295944 25711508072 35353323599 38567262108 70706647198 77134524216 106059970797 141413294396 212119941594 282826588792 424239883188 504588345913 848479766376 1009176691826 1513765037739 2018353383652 3027530075478 4036706767304 5550471805043 6055060150956 11100943610086 12110120301912 16651415415129 22201887220172 33302830830258 44403774440344 66605661660516 133211323321032