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100121212110222 = 2329301575979947
BaseRepresentation
bin10110110000111101001001…
…010010000100010110001110
3111010111111100102021201102100
4112300331021102010112032
5101110341220300011342
6552535014434535530
730042342654111552
oct2660751122042616
9433444312251370
10100121212110222
11299a1193099686
12b2901b34375a6
1343b350b4a49a4
141aa1c6d11b862
15b895b0da3e4c
hex5b0f4948458e

100121212110222 has 24 divisors (see below), whose sum is σ = 216929562399576. Its totient is φ = 33373695909456.

The previous prime is 100121212110193. The next prime is 100121212110223. The reversal of 100121212110222 is 222011212121001.

100121212110222 is a `hidden beast` number, since 1 + 0 + 0 + 121 + 212 + 110 + 222 = 666.

It is a super-2 number, since 2×1001212121102222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100121212110195 and 100121212110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121212110223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13752853 + ... + 19732799.

It is an arithmetic number, because the mean of its divisors is an integer number (9038731766649).

Almost surely, 2100121212110222 is an apocalyptic number.

100121212110222 is an abundant number, since it is smaller than the sum of its proper divisors (116808350289354).

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

100121212110222 is a wasteful number, since it uses less digits than its factorization.

100121212110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910112 (or 6910109 counting only the distinct ones).

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

Adding to 100121212110222 its reverse (222011212121001), we get a palindrome (322132424231223).

The spelling of 100121212110222 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 930157 1860314 2790471 5580942 5979947 8371413 11959894 16742826 17939841 35879682 53819523 107639046 5562289561679 11124579123358 16686868685037 33373737370074 50060606055111 100121212110222