Search a number
-
+
10022120101201 = 1310755760121523
BaseRepresentation
bin1001000111010111010011…
…1010001001010101010001
31022111002211210002211011211
42101311310322021111101
52303200300221214301
633152033131340121
72053034323165255
oct221656472112521
938432753084154
1010022120101201
1132143a258049a
12115a42b8b1641
1357910ab3b4c0
14269104c14265
15125a71d97051
hex91d74e89551

10022120101201 has 32 divisors (see below), whose sum is σ = 10932147047808. Its totient is φ = 9132628262400.

The previous prime is 10022120101183. The next prime is 10022120101223. The reversal of 10022120101201 is 10210102122001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022120101201 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 (10022120101601) 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, 465636226 + ... + 465657748.

It is an arithmetic number, because the mean of its divisors is an integer number (341629595244).

Almost surely, 210022120101201 is an apocalyptic number.

It is an amenable number.

10022120101201 is a deficient number, since it is larger than the sum of its proper divisors (910026946607).

10022120101201 is a wasteful number, since it uses less digits than its factorization.

10022120101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22801.

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

Adding to 10022120101201 its reverse (10210102122001), we get a palindrome (20232222223202).

The spelling of 10022120101201 in words is "ten trillion, twenty-two billion, one hundred twenty million, one hundred one thousand, two hundred one".

Divisors: 1 13 107 557 601 1391 7241 7813 21523 59599 64307 279799 334757 774787 835991 2302961 4351841 11988311 12935323 29938493 35818999 155848043 168159199 465646987 1282749277 1384079561 7204974911 16675740601 17993034293 93664673843 770932315477 10022120101201