Search a number
-
+
10120010210011 = 13210713916724109
BaseRepresentation
bin1001001101000011111110…
…0111010001101011011011
31022211110111220121120211101
42103100333213101223123
52311301240103210021
633305022444212231
72063101200322432
oct223207747215333
938743456546741
1010120010210011
113251965a32069
1211753aab3a077
1358540b4a8c00
1426db4d972119
151283a0c63a91
hex9343f9d1adb

10120010210011 has 48 divisors (see below), whose sum is σ = 11207516140800. Its totient is φ = 9132271634304.

The previous prime is 10120010209987. The next prime is 10120010210017. The reversal of 10120010210011 is 11001201002101.

It is not a de Polignac number, because 10120010210011 - 25 = 10120010209979 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120010210011.

It is not an unprimeable number, because it can be changed into a prime (10120010210017) 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, 419748625 + ... + 419772733.

It is an arithmetic number, because the mean of its divisors is an integer number (233489919600).

Almost surely, 210120010210011 is an apocalyptic number.

10120010210011 is a deficient number, since it is larger than the sum of its proper divisors (1087505930789).

10120010210011 is a wasteful number, since it uses less digits than its factorization.

10120010210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24548 (or 24535 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120010210011 its reverse (11001201002101), we get a palindrome (21121211212112).

The spelling of 10120010210011 in words is "ten trillion, one hundred twenty billion, ten million, two hundred ten thousand, eleven".

Divisors: 1 13 107 139 167 169 1391 1807 2171 14873 17869 18083 23213 23491 24109 28223 193349 232297 301769 313417 2483791 2513537 2579663 3019861 3351151 3922997 4026203 4074421 32289283 33535619 43564963 52340639 358573157 419760679 430803721 435963047 559642217 566344519 680428307 4661451041 5600448373 7275348821 59881717219 60598863533 72805828849 94579534673 778462323847 10120010210011