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100311213222 = 2321119831033119
BaseRepresentation
bin101110101101100000…
…0111010010010100110
3100120220212020121112100
41131123000322102212
53120414132310342
6114025441232530
710150543146453
oct1353300722246
9316825217470
10100311213222
11395a6079210
1217536032746
1395c813538c
144bd851282a
152921710e4c
hex175b03a4a6

100311213222 has 192 divisors, whose sum is σ = 255119155200. Its totient is φ = 28165268160.

The previous prime is 100311213169. The next prime is 100311213283. The reversal of 100311213222 is 222312113001.

100311213222 is a `hidden beast` number, since 10 + 0 + 311 + 21 + 322 + 2 = 666.

100311213222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 100311213195 and 100311213204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32159779 + ... + 32162897.

It is an arithmetic number, because the mean of its divisors is an integer number (1328745600).

Almost surely, 2100311213222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100311213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127559577600).

100311213222 is an abundant number, since it is smaller than the sum of its proper divisors (154807941978).

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

100311213222 is a wasteful number, since it uses less digits than its factorization.

100311213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100311213222 its reverse (222312113001), we get a palindrome (322623326223).

The spelling of 100311213222 in words is "one hundred billion, three hundred eleven million, two hundred thirteen thousand, two hundred twenty-two".