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23331220331013 = 35741117333589
BaseRepresentation
bin1010100111000001110010…
…00110011001101000000101
310001121102221212012221200000
411103200321012121220011
511024224314401043023
6121342114210511513
74625424250443510
oct523407106315005
9101542855187600
1023331220331013
1174857956a6871
1227498b6595599
131003180a99a8a
145a9346803d77
152a6d72ab7243
hex153839199a05

23331220331013 has 48 divisors (see below), whose sum is σ = 39942604141440. Its totient is φ = 13331761690176.

The previous prime is 23331220330969. The next prime is 23331220331063. The reversal of 23331220331013 is 31013302213332.

23331220331013 is a `hidden beast` number, since 2 + 3 + 3 + 312 + 2 + 0 + 331 + 0 + 13 = 666.

It is not a de Polignac number, because 23331220331013 - 26 = 23331220330949 is a prime.

It is a super-2 number, since 2×233312203310132 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23331220331063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69773223 + ... + 70106811.

It is an arithmetic number, because the mean of its divisors is an integer number (832137586280).

Almost surely, 223331220331013 is an apocalyptic number.

It is an amenable number.

23331220331013 is a deficient number, since it is larger than the sum of its proper divisors (16611383810427).

23331220331013 is an equidigital number, since it uses as much as digits as its factorization.

23331220331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374728 (or 374716 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 23331220331013 its reverse (31013302213332), we get a palindrome (54344522544345).

The spelling of 23331220331013 in words is "twenty-three trillion, three hundred thirty-one billion, two hundred twenty million, three hundred thirty-one thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 41117 123351 287819 333589 370053 863457 1000767 1110159 2335123 2590371 3002301 3330477 7005369 7771113 9006903 9991431 21016107 23313339 27020709 63048321 69940017 81062127 189144963 567434889 13716178913 41148536739 96013252391 123445610217 288039757173 370336830651 864119271519 1111010491953 2592357814557 3333031475859 7777073443671 23331220331013