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120032000001 = 325318110871279
BaseRepresentation
bin110111111001001110…
…1101111100000000001
3102110211020101101020200
41233302131233200001
53431311143000001
6131050354155413
711446335110604
oct1576235574001
9373736341220
10120032000001
11469a5a31201
121b31a582b69
13b41ba0c794
145b496b633b
1531c7bc7086
hex1bf276f801

120032000001 has 48 divisors (see below), whose sum is σ = 177929256960. Its totient is φ = 77944913280.

The previous prime is 120031999963. The next prime is 120032000009. The reversal of 120032000001 is 100000230021.

It is a happy number.

It is not a de Polignac number, because 120032000001 - 29 = 120031999489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120032000009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93847680 + ... + 93848958.

It is an arithmetic number, because the mean of its divisors is an integer number (3706859520).

Almost surely, 2120032000001 is an apocalyptic number.

It is an amenable number.

120032000001 is a deficient number, since it is larger than the sum of its proper divisors (57897256959).

120032000001 is a wasteful number, since it uses less digits than its factorization.

120032000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 120032000001 its reverse (100000230021), we get a palindrome (220032230022).

The spelling of 120032000001 in words is "one hundred twenty billion, thirty-two million, one", and thus it is an aban number.

Divisors: 1 3 9 53 159 181 477 543 1087 1279 1629 3261 3837 9593 9783 11511 28779 57611 67787 86337 172833 196747 203361 231499 518499 590241 610083 694497 1390273 1770723 2083491 4170819 10427591 12269447 12512457 31282773 36808341 73684469 93848319 110425023 221053407 251639413 663160221 754918239 2264754717 13336888889 40010666667 120032000001