Search a number
-
+
10022010121201 = 1323311783960611
BaseRepresentation
bin1001000111010110111001…
…0110100110101111110001
31022111002120010011020222111
42101311232112212233301
52303200034042334301
633152014202205321
72053031516316001
oct221655626465761
938432503136874
1010022010121201
113214346492931
12115a3baab3841
135790c1112290
142690d4386001
15125a673c0551
hex91d6e5a6bf1

10022010121201 has 32 divisors (see below), whose sum is σ = 11626331996160. Its totient is φ = 8562796545600.

The previous prime is 10022010121181. The next prime is 10022010121223. The reversal of 10022010121201 is 10212101022001.

It is a cyclic number.

It is not a de Polignac number, because 10022010121201 - 25 = 10022010121169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022010128201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165319386 + ... + 165379996.

It is an arithmetic number, because the mean of its divisors is an integer number (363322874880).

Almost surely, 210022010121201 is an apocalyptic number.

It is an amenable number.

10022010121201 is a deficient number, since it is larger than the sum of its proper divisors (1604321874959).

10022010121201 is a wasteful number, since it uses less digits than its factorization.

10022010121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78517.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022010121201 its reverse (10212101022001), we get a palindrome (20234111143202).

The spelling of 10022010121201 in words is "ten trillion, twenty-two billion, ten million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 13 23 31 299 403 713 9269 17839 60611 231907 410297 553009 787943 1394053 1878941 5333861 7189117 12719207 18122689 24426233 43215643 165349691 561803359 1081239629 14056115177 24868511467 33518428499 323290649071 435739570487 770923855477 10022010121201