Search a number
-
+
100222012121 = 7114672787119
BaseRepresentation
bin101110101010110110…
…0101000101011011001
3100120200122101201121212
41131111230220223121
53120223313341441
6114012533312505
710145411022110
oct1352554505331
9316618351555
10100222012121
113955a7930a0
1217510195735
1395b2802c6a
144bca732c77
152918990eeb
hex1755b28ad9

100222012121 has 16 divisors (see below), whose sum is σ = 125219727360. Its totient is φ = 77927819280.

The previous prime is 100222012031. The next prime is 100222012129. The reversal of 100222012121 is 121210222001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222012121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222012096 and 100222012105.

It is not an unprimeable number, because it can be changed into a prime (100222012129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357601 + ... + 1429518.

It is an arithmetic number, because the mean of its divisors is an integer number (7826232960).

Almost surely, 2100222012121 is an apocalyptic number.

100222012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222012121 is a deficient number, since it is larger than the sum of its proper divisors (24997715239).

100222012121 is a wasteful number, since it uses less digits than its factorization.

100222012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787604.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100222012121 its reverse (121210222001), we get a palindrome (221432234122).

The spelling of 100222012121 in words is "one hundred billion, two hundred twenty-two million, twelve thousand, one hundred twenty-one".

Divisors: 1 7 11 77 467 3269 5137 35959 2787119 19509833 30658309 214608163 1301584573 9111092011 14317430303 100222012121