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201232200332331 = 3472174837161657
BaseRepresentation
bin101101110000010100000101…
…110100010111010000101011
3222101111121111000221112110000
4231300110011310113100223
5202333442021241113311
61551552444022554043
760246355342321500
oct5560240564272053
9871447430845400
10201232200332331
1159134107a7a743
121a6a0194898923
138839165a5866c
1437999948bd4a7
15183e7a0b39056
hexb70505d1742b

201232200332331 has 120 divisors (see below), whose sum is σ = 370268024257296. Its totient is φ = 108221728527360.

The previous prime is 201232200332323. The next prime is 201232200332357. The reversal of 201232200332331 is 133233002232102.

201232200332331 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 322 + 0 + 0 + 3 + 3 + 2 + 331 = 666.

It is not a de Polignac number, because 201232200332331 - 23 = 201232200332323 is a prime.

It is a super-2 number, since 2×2012322003323312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201232200332295 and 201232200332304.

It is not an unprimeable number, because it can be changed into a prime (201232200332311) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3263705655 + ... + 3263767311.

Almost surely, 2201232200332331 is an apocalyptic number.

201232200332331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201232200332331 is a deficient number, since it is larger than the sum of its proper divisors (169035823924965).

201232200332331 is a wasteful number, since it uses less digits than its factorization.

201232200332331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110071 (or 110055 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 201232200332331 its reverse (133233002232102), we get a palindrome (334465202564433).

The spelling of 201232200332331 in words is "two hundred one trillion, two hundred thirty-two billion, two hundred million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 357 441 459 567 833 1071 1323 1377 2499 3213 3969 7497 9639 22491 48371 61657 67473 145113 184971 338597 431599 435339 554913 822307 1015791 1048169 1294797 1306017 1664739 2370179 2466921 3021193 3047373 3144507 3884391 3918051 4994217 5756149 7110537 7337183 7400763 9063579 9142119 9433521 11653173 17268447 21331611 22011549 22202289 27190737 27426357 28300563 34959519 40293043 51360281 51805341 63994833 66034647 66606867 81572211 84901689 120879129 154080843 155416023 191984499 198103941 244716633 362637387 462242529 466248069 594311823 1087912161 1386727587 2982410747 3263736483 4160182761 8947232241 20876875229 26841696723 50700982699 62630625687 80525090169 146138126603 152102948097 187891877061 241575270507 354906878893 438414379809 456308844291 563675631183 1064720636679 1315243139427 1368926532873 1691026893549 2484348152251 3194161910037 3945729418281 4106779598619 7453044456753 9582485730111 11837188254843 22359133370259 28747457190333 67077400110777 201232200332331