Search a number
-
+
120201133002003 = 365912722005199
BaseRepresentation
bin11011010101001010000001…
…110101011000110100010011
3120202121010010122000012000000
4123111022001311120310103
5111223333410022031003
61103351345503101043
734214150062405044
oct3325120165306423
9522533118005000
10120201133002003
1135333017a405a9
12115939502a1783
13520bbc23b3021
142197aa18008cb
15dd6a922ce1a3
hex6d5281d58d13

120201133002003 has 56 divisors (see below), whose sum is σ = 184716930048000. Its totient is φ = 78155597674224.

The previous prime is 120201133001977. The next prime is 120201133002011. The reversal of 120201133002003 is 300200331102021.

120201133002003 is a `hidden beast` number, since 120 + 2 + 0 + 11 + 330 + 0 + 200 + 3 = 666.

It is not a de Polignac number, because 120201133002003 - 29 = 120201133001491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120201133009003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5540203 + ... + 16464996.

It is an arithmetic number, because the mean of its divisors is an integer number (3298516608000).

Almost surely, 2120201133002003 is an apocalyptic number.

120201133002003 is a deficient number, since it is larger than the sum of its proper divisors (64515797045997).

120201133002003 is an equidigital number, since it uses as much as digits as its factorization.

120201133002003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005403 (or 22005388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120201133002003 its reverse (300200331102021), we get a palindrome (420401464104024).

The spelling of 120201133002003 in words is "one hundred twenty trillion, two hundred one billion, one hundred thirty-three million, two thousand, three".

Divisors: 1 3 9 27 59 81 127 177 243 381 531 729 1143 1593 3429 4779 7493 10287 14337 22479 30861 43011 67437 92583 202311 606933 1820799 5462397 22005199 66015597 198046791 594140373 1298306741 1782421119 2794660273 3894920223 5347263357 8383980819 11684760669 16041790071 25151942457 35054282007 75455827371 105162846021 164884956107 226367482113 315488538063 494654868321 679102446339 946465614189 1483964604963 2037307339017 4451893814889 13355681444667 40067044334001 120201133002003