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100022121122 = 2721192784899
BaseRepresentation
bin101110100100111001…
…0000111001010100010
3100120011201021012201112
41131021302013022202
53114321130333442
6113541033103322
710140433000400
oct1351162071242
9316151235645
10100022121122
1139467975020
1217475257b42
139580286471
144babd7c470
152906159082
hex1749c872a2

100022121122 has 24 divisors (see below), whose sum is σ = 190394614800. Its totient is φ = 38969657160.

The previous prime is 100022121107. The next prime is 100022121137. The reversal of 100022121122 is 221121220001.

It is an interprime number because it is at equal distance from previous prime (100022121107) and next prime (100022121137).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100022121097 and 100022121106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46391372 + ... + 46393527.

It is an arithmetic number, because the mean of its divisors is an integer number (7933108950).

Almost surely, 2100022121122 is an apocalyptic number.

100022121122 is a deficient number, since it is larger than the sum of its proper divisors (90372493678).

100022121122 is a wasteful number, since it uses less digits than its factorization.

100022121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92784926 (or 92784919 counting only the distinct ones).

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

Adding to 100022121122 its reverse (221121220001), we get a palindrome (321143341123).

It can be divided in two parts, 1000 and 22121122, that added together give a palindrome (22122122).

The spelling of 100022121122 in words is "one hundred billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 49 77 98 154 539 1078 92784899 185569798 649494293 1020633889 1298988586 2041267778 4546460051 7144437223 9092920102 14288874446 50011060561 100022121122