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32103140420 = 225131153107089
BaseRepresentation
bin11101111001011111…
…110000110001000100
310001212022201111122202
4131321133300301010
51011221400443140
622425321414032
72214355122401
oct357137606104
9101768644582
1032103140420
111268442760a
12627b33a318
1330480124a0
1417a78b12a8
15c7d5b1915
hex7797f0c44

32103140420 has 48 divisors (see below), whose sum is σ = 72666133680. Its totient is φ = 11843076096.

The previous prime is 32103140417. The next prime is 32103140479. The reversal of 32103140420 is 2404130123.

It can be written as a sum of positive squares in 8 ways, for example, as 3685946944 + 28417193476 = 60712^2 + 168574^2 .

It is a super-2 number, since 2×321031404202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32103140392 and 32103140401.

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 15 ways as a sum of consecutive naturals, for example, 246236 + ... + 353324.

It is an arithmetic number, because the mean of its divisors is an integer number (1513877785).

Almost surely, 232103140420 is an apocalyptic number.

It is an amenable number.

32103140420 is an abundant number, since it is smaller than the sum of its proper divisors (40562993260).

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

32103140420 is a wasteful number, since it uses less digits than its factorization.

32103140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108264 (or 108262 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32103140420 its reverse (2404130123), we get a palindrome (34507270543).

The spelling of 32103140420 in words is "thirty-two billion, one hundred three million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1153 2306 4612 5765 11530 14989 23060 29978 59956 74945 107089 149890 214178 299780 428356 535445 1070890 1392157 2141780 2784314 5568628 6960785 13921570 27843140 123473617 246947234 493894468 617368085 1234736170 1605157021 2469472340 3210314042 6420628084 8025785105 16051570210 32103140420