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102122022012 = 22353398940253
BaseRepresentation
bin101111100011011110…
…0100110010001111100
3100202121001121020012120
41133012330212101330
53133121214201022
6114525245202540
710243451602413
oct1370674462174
9322531536176
10102122022012
113a3452456aa
1217960560450
13982633b17a
144d2ac0047a
1529ca6a1d5c
hex17c6f2647c

102122022012 has 48 divisors (see below), whose sum is σ = 242847551520. Its totient is φ = 33389195008.

The previous prime is 102122021993. The next prime is 102122022019. The reversal of 102122022012 is 210220221201.

It is a junction number, because it is equal to n+sod(n) for n = 102122021982 and 102122022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122022019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2516878 + ... + 2557130.

It is an arithmetic number, because the mean of its divisors is an integer number (5059323990).

Almost surely, 2102122022012 is an apocalyptic number.

102122022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122022012 is an abundant number, since it is smaller than the sum of its proper divisors (140725529508).

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

102122022012 is a wasteful number, since it uses less digits than its factorization.

102122022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44302 (or 44300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122022012 its reverse (210220221201), we get a palindrome (312342243213).

The spelling of 102122022012 in words is "one hundred two billion, one hundred twenty-two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 3989 7978 11967 15956 23934 40253 47868 80506 120759 161012 211417 241518 422834 483036 634251 845668 1268502 2133409 2537004 4266818 6400227 8533636 12800454 25600908 160569217 321138434 481707651 642276868 963415302 1926830604 8510168501 17020337002 25530505503 34040674004 51061011006 102122022012