Search a number
-
+
310001121114 = 234143193315161
BaseRepresentation
bin1001000001011011000…
…00011011011101011010
31002122011111210121202020
410200231200123131122
520034340241333424
6354225035515310
731253055024006
oct4405540333532
91078144717666
10310001121114
1110a51a607653
12500b68b8b36
1323304b1c459
141100b4b7706
1580e56de079
hex482d81b75a

310001121114 has 64 divisors (see below), whose sum is σ = 650273678208. Its totient is φ = 98411443200.

The previous prime is 310001121109. The next prime is 310001121149. The reversal of 310001121114 is 411121100013.

It is a super-2 number, since 2×3100011211142 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 310001121093 and 310001121102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20439694 + ... + 20454854.

It is an arithmetic number, because the mean of its divisors is an integer number (10160526222).

Almost surely, 2310001121114 is an apocalyptic number.

310001121114 is an abundant number, since it is smaller than the sum of its proper divisors (340272557094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

310001121114 is a wasteful number, since it uses less digits than its factorization.

310001121114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17183.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 310001121114 its reverse (411121100013), we get a palindrome (721122221127).

The spelling of 310001121114 in words is "three hundred ten billion, one million, one hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 41 43 82 86 123 129 246 258 1763 1933 3526 3866 5289 5799 10578 11598 15161 30322 45483 79253 83119 90966 158506 166238 237759 249357 475518 498714 621601 651923 1243202 1303846 1864803 1955769 3407879 3729606 3911538 6815758 10223637 20447274 26728843 29306213 53457686 58612426 80186529 87918639 160373058 175837278 1201554733 1260167159 2403109466 2520334318 3604664199 3780501477 7209328398 7561002954 51666853519 103333707038 155000560557 310001121114