Search a number
-
+
10213041332043 = 32111733071835003
BaseRepresentation
bin1001010010011110100010…
…1100110101111101001011
31100011100122102002020200200
42110213220230311331023
52314312302040111133
633415450104103243
72102603453652444
oct224475054657513
940140572066620
1010213041332043
11328836563aa90
12118b432a64b23
1359111628b304
142744572582cb
1512a9e8280913
hex949e8b35f4b

10213041332043 has 48 divisors (see below), whose sum is σ = 17045102595456. Its totient is φ = 5823855947520.

The previous prime is 10213041332041. The next prime is 10213041332051. The reversal of 10213041332043 is 34023314031201.

It is a happy number.

10213041332043 is a `hidden beast` number, since 1 + 0 + 21 + 304 + 1 + 332 + 0 + 4 + 3 = 666.

It is not a de Polignac number, because 10213041332043 - 21 = 10213041332041 is a prime.

It is a super-3 number, since 3×102130413320433 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213041331998 and 10213041332016.

It is not an unprimeable number, because it can be changed into a prime (10213041332041) 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, 4648180 + ... + 6483182.

It is an arithmetic number, because the mean of its divisors is an integer number (355106304072).

Almost surely, 210213041332043 is an apocalyptic number.

10213041332043 is a deficient number, since it is larger than the sum of its proper divisors (6832061263413).

10213041332043 is a wasteful number, since it uses less digits than its factorization.

10213041332043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838344 (or 1838341 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10213041332043 its reverse (34023314031201), we get a palindrome (44236355363244).

The spelling of 10213041332043 in words is "ten trillion, two hundred thirteen billion, forty-one million, three hundred thirty-two thousand, forty-three".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 3307 9921 29763 36377 56219 109131 168657 327393 505971 618409 1835003 1855227 5505009 5565681 16515027 20185033 31195051 60555099 93585153 181665297 280755459 343145561 1029436683 3088310049 6068354921 18205064763 54615194289 66751904131 103162033657 200255712393 309486100971 600767137179 928458302913 1134782370227 3404347110681 10213041332043