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100122311212 = 2271179101131311
BaseRepresentation
bin101110100111111000…
…0010011101000101100
3100120102200210101200121
41131033300103220230
53120022302424322
6113555012334324
710143060413650
oct1351760235054
9316380711617
10100122311212
1139509486350
12174a29143a4
139597c65641
144bbb3bca60
15290ed49ec7
hex174fc13a2c

100122311212 has 192 divisors, whose sum is σ = 225833287680. Its totient is φ = 37720800000.

The previous prime is 100122311197. The next prime is 100122311269. The reversal of 100122311212 is 212113221001.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 321936537 + ... + 321936847.

It is an arithmetic number, because the mean of its divisors is an integer number (1176215040).

Almost surely, 2100122311212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112916643840).

100122311212 is an abundant number, since it is smaller than the sum of its proper divisors (125710976468).

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

100122311212 is a wasteful number, since it uses less digits than its factorization.

100122311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100122311212 its reverse (212113221001), we get a palindrome (312235532213).

The spelling of 100122311212 in words is "one hundred billion, one hundred twenty-two million, three hundred eleven thousand, two hundred twelve".