Search a number
-
+
10000410024213 = 3271728133229363
BaseRepresentation
bin1001000110000110011011…
…1000110001100100010101
31022102000210202202122022100
42101201212320301210111
52302321314431233323
633134042553152313
72051335324446210
oct221414670614425
938360722678270
1010000410024213
113206171826304
1211561910bb699
1357705b0996bb
14268045782777
15125200e36943
hex91866e31915

10000410024213 has 48 divisors (see below), whose sum is σ = 17541914173056. Its totient is φ = 5359231503360.

The previous prime is 10000410024211. The next prime is 10000410024221. The reversal of 10000410024213 is 31242001400001.

10000410024213 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 410 + 0 + 242 + 13 = 666.

It is not a de Polignac number, because 10000410024213 - 21 = 10000410024211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000410024211) 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, 16313731 + ... + 16915632.

It is an arithmetic number, because the mean of its divisors is an integer number (365456545272).

Almost surely, 210000410024213 is an apocalyptic number.

It is an amenable number.

10000410024213 is a deficient number, since it is larger than the sum of its proper divisors (7541504148843).

10000410024213 is a wasteful number, since it uses less digits than its factorization.

10000410024213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33229674 (or 33229671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10000410024213 its reverse (31242001400001), we get a palindrome (41242411424214).

The spelling of 10000410024213 in words is "ten trillion, four hundred ten million, twenty-four thousand, two hundred thirteen".

Divisors: 1 3 7 9 17 21 51 63 119 153 281 357 843 1071 1967 2529 4777 5901 14331 17703 33439 42993 100317 300951 33229363 99688089 232605541 299064267 564899171 697816623 1694697513 2093449869 3954294197 5084092539 9337451003 11862882591 28012353009 35588647773 65362157021 84037059027 158736667051 196086471063 476210001153 588259413189 1111156669357 1428630003459 3333470008071 10000410024213