Search a number
-
+
100022102121 = 31571483143197
BaseRepresentation
bin101110100100111001…
…0000010100001101001
3100120011201020020122210
41131021302002201221
53114321124231441
6113541032435333
710140432561114
oct1351162024151
9316151206583
10100022102121
1139467961817
1217475248b49
13958027a916
144babd7557b
152906153616
hex1749c82869

100022102121 has 16 divisors (see below), whose sum is σ = 134303685824. Its totient is φ = 66211539264.

The previous prime is 100022102023. The next prime is 100022102129. The reversal of 100022102121 is 121201220001.

It is not a de Polignac number, because 100022102121 - 210 = 100022101097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022102097 and 100022102106.

It is not an unprimeable number, because it can be changed into a prime (100022102129) 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, 626895 + ... + 770091.

It is an arithmetic number, because the mean of its divisors is an integer number (8393980364).

Almost surely, 2100022102121 is an apocalyptic number.

It is an amenable number.

100022102121 is a deficient number, since it is larger than the sum of its proper divisors (34281583703).

100022102121 is a wasteful number, since it uses less digits than its factorization.

100022102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144840.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022102121 its reverse (121201220001), we get a palindrome (221223322122).

The spelling of 100022102121 in words is "one hundred billion, twenty-two million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 157 471 1483 4449 143197 232831 429591 698493 22481929 67445787 212361151 637083453 33340700707 100022102121