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120041140021 = 11118122814051
BaseRepresentation
bin110111111001100000…
…0100110111100110101
3102110211212120201222221
41233303000212330311
53431321012440041
6131051322122341
711446505566105
oct1576300467465
9373755521887
10120041140021
1146a00104240
121b3216503b1
13b42088ca8a
145b4a9b5205
1531c88d02d1
hex1bf3026f35

120041140021 has 16 divisors (see below), whose sum is σ = 131154682176. Its totient is φ = 108961200000.

The previous prime is 120041139973. The next prime is 120041140031.

It is a happy number.

120041140021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 120041140021 - 211 = 120041137973 is a prime.

It is a super-3 number, since 3×1200411400213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120041139977 and 120041140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120041140031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29630446 + ... + 29634496.

It is an arithmetic number, because the mean of its divisors is an integer number (8197167636).

Almost surely, 2120041140021 is an apocalyptic number.

120041140021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120041140021 is a deficient number, since it is larger than the sum of its proper divisors (11113542155).

120041140021 is a wasteful number, since it uses less digits than its factorization.

120041140021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 120041 and 140021, that added together give a palindrome (260062).

The spelling of 120041140021 in words is "one hundred twenty billion, forty-one million, one hundred forty thousand, twenty-one".

Divisors: 1 11 1181 2281 4051 12991 25091 44561 2693861 4784231 9240331 29632471 52626541 101643641 10912830911 120041140021