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201012020012331 = 3211191672285328001
BaseRepresentation
bin101101101101000111000010…
…000011000110010100101011
3222100201120011021211101011100
4231231013002003012110223
5202321340104110343311
61551303351442332443
760224432146430343
oct5555070203062453
9870646137741140
10201012020012331
115905979aa19430
121a66558695a123
1388214768a8148
14378d0685b7d23
151838bb5bcaa56
hexb6d1c20c652b

201012020012331 has 96 divisors (see below), whose sum is σ = 335440232225280. Its totient is φ = 114713383680000.

The previous prime is 201012020012249. The next prime is 201012020012333. The reversal of 201012020012331 is 133210020210102.

201012020012331 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 120 + 200 + 12 + 331 = 666.

It is not a de Polignac number, because 201012020012331 - 210 = 201012020011307 is a prime.

It is a super-2 number, since 2×2010120200123312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201012020012333) 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, 7178730331 + ... + 7178758331.

It is an arithmetic number, because the mean of its divisors is an integer number (3494169085680).

Almost surely, 2201012020012331 is an apocalyptic number.

201012020012331 is a deficient number, since it is larger than the sum of its proper divisors (134428212212949).

201012020012331 is a wasteful number, since it uses less digits than its factorization.

201012020012331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51057 (or 51054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201012020012331 its reverse (133210020210102), we get a palindrome (334222040222433).

The spelling of 201012020012331 in words is "two hundred one trillion, twelve billion, twenty million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 167 171 209 501 627 1503 1837 1881 3173 5511 9519 16533 22853 28001 28557 34903 68559 84003 104709 205677 251383 252009 308011 314127 434207 532019 754149 924033 1302621 1596057 2262447 2772099 3816451 3907863 4676167 4776277 4788171 5852209 11449353 14028501 14328831 17556627 34348059 41980961 42085503 42986493 51437837 52669881 72512569 88847173 125942883 154313511 217537707 266541519 377828649 462940533 639906853 652613121 797638259 799624557 977318903 1919720559 2392914777 2931956709 5759161677 7038975383 7178744331 8795870127 12158230207 21116926149 36474690621 63350778447 106864444451 109424071863 133740532277 320593333353 401221596831 961780000059 1175508888961 1203664790493 2030424444569 3526526666883 6091273333707 10579580000649 18273820001121 22334668890259 67004006670777 201012020012331