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32110020020 = 22513417014297
BaseRepresentation
bin11101111001111010…
…000000010110110100
310001212210200000200202
4131321322000112310
51011230131120040
622430125100032
72214500444501
oct357172002664
9101783600622
1032110020020
11126882a6331
1262816b7618
133049580960
1417a87824a8
15c7dec0015
hex779e805b4

32110020020 has 96 divisors (see below), whose sum is σ = 74512672416. Its totient is φ = 11547648000.

The previous prime is 32110020017. The next prime is 32110020247. The reversal of 32110020020 is 2002001123.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 13974549796 + 18135470224 = 118214^2 + 134668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32110019983 and 32110020010.

It is a congruent number.

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, 7470512 + ... + 7474808.

It is an arithmetic number, because the mean of its divisors is an integer number (776173671).

Almost surely, 232110020020 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 32110020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37256336208).

32110020020 is an abundant number, since it is smaller than the sum of its proper divisors (42402652396).

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

32110020020 is a wasteful number, since it uses less digits than its factorization.

32110020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 32110020020 its reverse (2002001123), we get a palindrome (34112021143).

The spelling of 32110020020 in words is "thirty-two billion, one hundred ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 701 820 1066 1402 2132 2665 2804 3505 4297 5330 7010 8594 9113 10660 14020 17188 18226 21485 28741 36452 42970 45565 55861 57482 85940 91130 111722 114964 143705 176177 182260 223444 279305 287410 352354 373633 558610 574820 704708 747266 880885 1117220 1494532 1761770 1868165 2290301 3012197 3523540 3736330 4580602 6024394 7472660 9161204 11451505 12048788 15060985 22903010 30121970 39158561 45806020 60243940 78317122 123500077 156634244 195792805 247000154 391585610 494000308 617500385 783171220 1235000770 1605501001 2470001540 3211002002 6422004004 8027505005 16055010010 32110020020