Search a number
-
+
120040220101 = 378094010297
BaseRepresentation
bin110111111001011110…
…1000110010111000101
3102110211210212000002211
41233302331012113011
53431320244020401
6131051250303421
711446465015114
oct1576275062705
9373753760084
10120040220101
11469aa63607a
121b321287b71
13b42062a149
145b4a815c7b
1531c879c951
hex1bf2f465c5

120040220101 has 8 divisors (see below), whose sum is σ = 123436972440. Its totient is φ = 116651490048.

The previous prime is 120040220077. The next prime is 120040220119. The reversal of 120040220101 is 101022040021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65164815076 + 54875405025 = 255274^2 + 234255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120040220101 - 221 = 120038122949 is a prime.

It is a super-3 number, since 3×1200402201013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120040220141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1975216 + ... + 2035081.

It is an arithmetic number, because the mean of its divisors is an integer number (15429621555).

Almost surely, 2120040220101 is an apocalyptic number.

It is an amenable number.

120040220101 is a deficient number, since it is larger than the sum of its proper divisors (3396752339).

120040220101 is an equidigital number, since it uses as much as digits as its factorization.

120040220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011143.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120040220101 its reverse (101022040021), we get a palindrome (221062260122).

The spelling of 120040220101 in words is "one hundred twenty billion, forty million, two hundred twenty thousand, one hundred one".

Divisors: 1 37 809 29933 4010297 148380989 3244330273 120040220101