Search a number
-
+
100122111222102 = 232101677300127107
BaseRepresentation
bin10110110000111101111110…
…110111111010000101010110
3111010111120200002010100001100
4112300331332313322011112
5101110400040433101402
6552535243554010530
730042404152331154
oct2660757667720526
9433446602110040
10100122111222102
11299a1604674752
12b290404576a46
1343b362284a058
141aa1d166c63d4
15b89614ca771c
hex5b0f7edfa156

100122111222102 has 96 divisors (see below), whose sum is σ = 219483884322144. Its totient is φ = 32982580800000.

The previous prime is 100122111222041. The next prime is 100122111222139. The reversal of 100122111222102 is 201222111221001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3693575233 + ... + 3693602339.

It is an arithmetic number, because the mean of its divisors is an integer number (2286290461689).

Almost surely, 2100122111222102 is an apocalyptic number.

100122111222102 is an abundant number, since it is smaller than the sum of its proper divisors (119361773100042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122111222102 is a wasteful number, since it uses less digits than its factorization.

100122111222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30894 (or 30891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100122111222102 its reverse (201222111221001), we get a palindrome (301344222443103).

The spelling of 100122111222102 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 101 202 303 606 677 909 1354 1818 2031 3001 4062 6002 6093 9003 12186 18006 27009 27107 54018 54214 68377 81321 136754 162642 205131 243963 303101 410262 487926 606202 615393 909303 1230786 1818606 2031677 2727909 2737807 4063354 5455818 5475614 6095031 8213421 12190062 16426842 18285093 18351439 24640263 36570186 36702878 49280526 55054317 81348107 110108634 162696214 165162951 205199377 244044321 330325902 410398754 488088642 615598131 732132963 1231196262 1464265926 1846794393 1853495339 3693588786 3706990678 5560486017 8216158807 11120972034 16432317614 16681458051 24648476421 33362916102 49296952842 55072668439 73945429263 110145336878 147890858526 165218005317 330436010634 495654015951 991308031902 5562339512339 11124679024678 16687018537017 33374037074034 50061055611051 100122111222102