Search a number
-
+
111110002001010 = 23255412281988129
BaseRepresentation
bin11001010000110111010000…
…001100110100010001110010
3112120102000100002010211211200
4121100313100030310101302
5104030411241003013020
61032151121422552030
732255301300042105
oct3120672014642162
9476360302124750
10111110002001010
113244853a552621
1210565a42a38616
1349cc8222b790c
141d61a7792c73c
15cca35d319590
hex650dd0334472

111110002001010 has 48 divisors (see below), whose sum is σ = 289419990551640. Its totient is φ = 29574566138880.

The previous prime is 111110002001003. The next prime is 111110002001017. The reversal of 111110002001010 is 10100200011111.

It is an interprime number because it is at equal distance from previous prime (111110002001003) and next prime (111110002001017).

It can be written as a sum of positive squares in 4 ways, for example, as 105122922184809 + 5987079816201 = 10252947^2 + 2446851^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111110002000983 and 111110002001001.

It is not an unprimeable number, because it can be changed into a prime (111110002001017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140945375 + ... + 1141042754.

Almost surely, 2111110002001010 is an apocalyptic number.

111110002001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111110002001010 is an abundant number, since it is smaller than the sum of its proper divisors (178309988550630).

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

111110002001010 is a wasteful number, since it uses less digits than its factorization.

111110002001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281988683 (or 2281988680 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111110002001010 its reverse (10100200011111), we get a palindrome (121210202012121).

The spelling of 111110002001010 in words is "one hundred eleven trillion, one hundred ten billion, two million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 541 1082 1623 2705 3246 4869 5410 8115 9738 16230 24345 48690 2281988129 4563976258 6845964387 11409940645 13691928774 20537893161 22819881290 34229821935 41075786322 68459643870 102689465805 205378931610 1234555577789 2469111155578 3703666733367 6172777888945 7407333466734 11111000200101 12345555777890 18518333666835 22222000400202 37036667333670 55555001000505 111110002001010