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32122322130 = 23573143910193
BaseRepresentation
bin11101111010101000…
…111011110011010010
310001220122211001000110
4131322220323303102
51011241303302010
622431244502150
72215010142633
oct357250736322
9101818731013
1032122322130
1112694239068
12628584a956
13304bc9a302
1417aa26588a
15c80100120
hex77aa3bcd2

32122322130 has 64 divisors (see below), whose sum is σ = 78211630080. Its totient is φ = 8441911296.

The previous prime is 32122322117. The next prime is 32122322147. The reversal of 32122322130 is 3122322123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32122322097 and 32122322106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3146314 + ... + 3156506.

It is an arithmetic number, because the mean of its divisors is an integer number (1222056720).

Almost surely, 232122322130 is an apocalyptic number.

32122322130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32122322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39105815040).

32122322130 is an abundant number, since it is smaller than the sum of its proper divisors (46089307950).

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

32122322130 is a wasteful number, since it uses less digits than its factorization.

32122322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32122322130 its reverse (3122322123), we get a palindrome (35244644253).

The spelling of 32122322130 in words is "thirty-two billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1439 2190 2878 4317 7195 8634 10193 14390 20386 21585 30579 43170 50965 61158 101930 105047 152895 210094 305790 315141 525235 630282 744089 1050470 1488178 1575705 2232267 3151410 3720445 4464534 7440890 11161335 14667727 22322670 29335454 44003181 73338635 88006362 146677270 220015905 440031810 1070744071 2141488142 3212232213 5353720355 6424464426 10707440710 16061161065 32122322130