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120028295401 = 7243211512
BaseRepresentation
bin110111111001000111…
…1100111000011101001
3102110210222102011111021
41233302033213003221
53431304220423101
6131050142532441
711446261451200
oct1576217470351
9373728364437
10120028295401
11469a3930953
121b319297121
13b41b013501
145b48dd0237
1531c76e45a1
hex1bf23e70e9

120028295401 has 27 divisors (see below), whose sum is σ = 143071654653. Its totient is φ = 100401499800.

The previous prime is 120028295389. The next prime is 120028295411. The reversal of 120028295401 is 104592820021.

The square root of 120028295401 is 346451.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 120028295401 - 29 = 120028294889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120028295411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104281176 + ... + 104282326.

Almost surely, 2120028295401 is an apocalyptic number.

120028295401 is the 346451-st square number.

120028295401 is the 173226-th centered octagonal number.

It is an amenable number.

120028295401 is a deficient number, since it is larger than the sum of its proper divisors (23043359252).

120028295401 is an frugal number, since it uses more digits than its factorization.

120028295401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 120028295401 in words is "one hundred twenty billion, twenty-eight million, two hundred ninety-five thousand, four hundred one".

Divisors: 1 7 43 49 301 1151 1849 2107 8057 12943 49493 56399 90601 346451 1324801 2128199 2425157 9273607 14897393 56966443 64915249 104281751 398765101 2449557049 2791355707 17146899343 120028295401