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213020213320233 = 3411376461619599
BaseRepresentation
bin110000011011110110100010…
…001001010001101000101001
31000221020112101221001122110000
4300123312202021101220221
5210410110344102221413
62033020045055413213
762604126316426044
oct6033664211215051
91027215357048400
10213020213320233
1161969401aa2780
121ba848b2524209
1391b29488910c7
143a8633a3bdc5b
15199622807d073
hexc1bda2251a29

213020213320233 has 40 divisors (see below), whose sum is σ = 356526323049600. Its totient is φ = 125613884985120.

The previous prime is 213020213320181. The next prime is 213020213320241. The reversal of 213020213320233 is 332023312020312.

213020213320233 is a `hidden beast` number, since 2 + 1 + 302 + 0 + 2 + 1 + 3 + 320 + 2 + 33 = 666.

It is not a de Polignac number, because 213020213320233 - 216 = 213020213254697 is a prime.

It is a super-2 number, since 2×2130202133202332 (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 = 213020213320197 and 213020213320206.

It is not an unprimeable number, because it can be changed into a prime (213020213320433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3230776833 + ... + 3230842766.

It is an arithmetic number, because the mean of its divisors is an integer number (8913158076240).

Almost surely, 2213020213320233 is an apocalyptic number.

It is an amenable number.

213020213320233 is a deficient number, since it is larger than the sum of its proper divisors (143506109729367).

213020213320233 is a wasteful number, since it uses less digits than its factorization.

213020213320233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461619659 (or 6461619650 counting only the distinct ones).

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

Adding to 213020213320233 its reverse (332023312020312), we get a palindrome (545043525340545).

The spelling of 213020213320233 in words is "two hundred thirteen trillion, twenty billion, two hundred thirteen million, three hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 11 27 33 37 81 99 111 297 333 407 891 999 1221 2997 3663 10989 32967 6461619599 19384858797 58154576391 71077815589 174463729173 213233446767 239079925163 523391187519 639700340301 717239775489 1919101020903 2151719326467 2629879176793 5757303062709 6455157979401 7889637530379 19365473938203 23668912591137 71006737773411 213020213320233