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120707101707021 = 3223835636978281
BaseRepresentation
bin11011011100100001001111…
…111010110100101100001101
3120211101111010110101112021100
4123130201033322310230031
5111310131121014111041
61104420024344253313
734265541335421654
oct3334411772645415
9524344113345240
10120707101707021
113550865a0a4465
1211655a18171239
135247827c902cb
1421b437d60819b
15de4d06e176b6
hex6dc84feb4b0d

120707101707021 has 24 divisors (see below), whose sum is σ = 181937544998976. Its totient is φ = 76971712403520.

The previous prime is 120707101706977. The next prime is 120707101707061.

It is a happy number.

120707101707021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120707101707021 - 29 = 120707101706509 is a prime.

It is a super-2 number, since 2×1207071017070212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120707101707061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13808401 + ... + 20786681.

It is an arithmetic number, because the mean of its divisors is an integer number (7580731041624).

Almost surely, 2120707101707021 is an apocalyptic number.

It is an amenable number.

120707101707021 is a deficient number, since it is larger than the sum of its proper divisors (61230443291955).

120707101707021 is a wasteful number, since it uses less digits than its factorization.

120707101707021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061873 (or 7061870 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 36.

It can be divided in two parts, 12070710 and 1707021, that added together give a palindrome (13777731).

The spelling of 120707101707021 in words is "one hundred twenty trillion, seven hundred seven billion, one hundred one million, seven hundred seven thousand, twenty-one".

Divisors: 1 3 9 23 69 207 83563 250689 752067 1921949 5765847 6978281 17297541 20934843 62804529 160500463 481501389 1444504167 583126095203 1749378285609 5248134856827 13411900189669 40235700569007 120707101707021