Search a number
-
+
10212040344429 = 3272112717768049
BaseRepresentation
bin1001010010011010110100…
…0010011000001101101101
31100011021001122112210211100
42110212231002120031231
52314303224312010204
633415202505313313
72102536610466300
oct224465502301555
940137048483740
1010212040344429
1132879a16021a0
12118b1b3795839
13590cb6a96751
142743a0330b37
1512a98a456a39
hex949ad09836d

10212040344429 has 72 divisors (see below), whose sum is σ = 18787992163200. Its totient is φ = 5285379859200.

The previous prime is 10212040344397. The next prime is 10212040344487. The reversal of 10212040344429 is 92444304021201.

10212040344429 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 204 + 0 + 3 + 4 + 442 + 9 = 666.

It is not a de Polignac number, because 10212040344429 - 25 = 10212040344397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212040344393 and 10212040344402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212040344529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2569404 + ... + 5198645.

It is an arithmetic number, because the mean of its divisors is an integer number (260944335600).

Almost surely, 210212040344429 is an apocalyptic number.

It is an amenable number.

10212040344429 is a deficient number, since it is larger than the sum of its proper divisors (8575951818771).

10212040344429 is a wasteful number, since it uses less digits than its factorization.

10212040344429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768351 (or 7768341 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10212040344429 in words is "ten trillion, two hundred twelve billion, forty million, three hundred forty-four thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 271 441 539 693 813 1617 1897 2439 2981 4851 5691 8943 13279 17073 20867 26829 39837 62601 119511 146069 187803 438207 1314621 7768049 23304147 54376343 69912441 85448539 163129029 256345617 380634401 489387087 598139773 769036851 1141903203 1794419319 2105141279 3425709609 4186978411 5383257957 6315423837 12560935233 14735988953 18946271511 23156554069 37682805699 44207966859 69469662207 103151922671 132623900577 162095878483 208408986621 309455768013 486287635449 928367304039 1134671149381 1458862906347 3404013448143 10212040344429