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254420378121 = 37131317114067
BaseRepresentation
bin1110110011110010100…
…0101110001000001001
3220022200222211022221110
43230330220232020021
513132023104044441
6312513515400533
724244526350350
oct3547450561011
9808628738843
10254420378121
1198998741808
1241384a53149
131acb7b08450
14c457912997
156940e2ab16
hex3b3ca2e209

254420378121 has 32 divisors (see below), whose sum is σ = 420697525248. Its totient is φ = 133175315520.

The previous prime is 254420378119. The next prime is 254420378137. The reversal of 254420378121 is 121873024452.

It is a happy number.

It is not a de Polignac number, because 254420378121 - 21 = 254420378119 is a prime.

It is a super-3 number, since 3×2544203781213 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 254420378121.

It is not an unprimeable number, because it can be changed into a prime (254420378221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3521271 + ... + 3592796.

It is an arithmetic number, because the mean of its divisors is an integer number (13146797664).

Almost surely, 2254420378121 is an apocalyptic number.

254420378121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

254420378121 is a deficient number, since it is larger than the sum of its proper divisors (166277147127).

254420378121 is a wasteful number, since it uses less digits than its factorization.

254420378121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114221.

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 254420378121 in words is "two hundred fifty-four billion, four hundred twenty million, three hundred seventy-eight thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 131 273 393 917 1703 2751 5109 11921 35763 7114067 21342201 49798469 92482871 149395407 277448613 647380097 931942777 1942140291 2795828331 6523599439 12115256101 19570798317 36345768303 84806792707 254420378121