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100220312122 = 2759334736251
BaseRepresentation
bin101110101010110011…
…0001001101000111010
3100120200112012100122221
41131111212021220322
53120222344441442
6114012433034254
710145360411620
oct1352546115072
9316615170587
10100220312122
1139559831937
121750b6b598a
1395b2359248
144bca40d510
152918757467
hex1755989a3a

100220312122 has 32 divisors (see below), whose sum is σ = 174775242240. Its totient is φ = 42209790000.

The previous prime is 100220312107. The next prime is 100220312123. The reversal of 100220312122 is 221213022001.

It is a happy number.

100220312122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002203121222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220312096 and 100220312105.

It is not an unprimeable number, because it can be changed into a prime (100220312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2746497 + ... + 2782747.

It is an arithmetic number, because the mean of its divisors is an integer number (5461726320).

Almost surely, 2100220312122 is an apocalyptic number.

100220312122 is a deficient number, since it is larger than the sum of its proper divisors (74554930118).

100220312122 is a wasteful number, since it uses less digits than its factorization.

100220312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39666.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100220312122 its reverse (221213022001), we get a palindrome (321433334123).

The spelling of 100220312122 in words is "one hundred billion, two hundred twenty million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 14 59 118 413 826 3347 6694 23429 36251 46858 72502 197473 253757 394946 507514 1382311 2138809 2764622 4277618 14971663 29943326 121332097 242664194 849324679 1698649358 7158593723 14317187446 50110156061 100220312122