Search a number
-
+
30211110310311 = 337261737010221
BaseRepresentation
bin1101101111010000100100…
…11111111001000110100111
310221222011011012222200112000
412313220102133321012213
512424434323214412221
6144130443101500343
76235452322412400
oct667502237710647
9127864135880460
1030211110310311
119698507193897
12347b1478716b3
1313b1b84499428
14766322c549a7
15375cd882be26
hex1b7a127f91a7

30211110310311 has 48 divisors (see below), whose sum is σ = 52148883206880. Its totient is φ = 17235511413120.

The previous prime is 30211110310307. The next prime is 30211110310331. The reversal of 30211110310311 is 11301301111203.

30211110310311 is a `hidden beast` number, since 3 + 0 + 21 + 11 + 10 + 310 + 311 = 666.

It is not a de Polignac number, because 30211110310311 - 22 = 30211110310307 is a prime.

It is a super-2 number, since 2×302111103103112 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30211110310331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17688820 + ... + 19321401.

It is an arithmetic number, because the mean of its divisors is an integer number (1086435066810).

Almost surely, 230211110310311 is an apocalyptic number.

30211110310311 is a deficient number, since it is larger than the sum of its proper divisors (21937772896569).

30211110310311 is a wasteful number, since it uses less digits than its factorization.

30211110310311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37010861 (or 37010848 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 30211110310311 its reverse (11301301111203), we get a palindrome (41512411421514).

The spelling of 30211110310311 in words is "thirty trillion, two hundred eleven billion, one hundred ten million, three hundred ten thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 617 1323 1851 4319 5553 12957 16659 30233 38871 90699 116613 272097 816291 37010221 111030663 259071547 333091989 777214641 999275967 1813500829 2331643923 5440502487 6994931769 16321507461 22835306357 48964522383 68505919071 159847144499 205517757213 479541433497 616553271639 1118930011493 1438624300491 3356790034479 4315872901473 10070370103437 30211110310311