Search a number
-
+
1110110000510 = 25729222138521
BaseRepresentation
bin10000001001110111101…
…101100101010101111110
310221010101110211000012002
4100021313231211111332
5121142001130004020
62205551045542302
7143126363212460
oct20116755452576
93833343730162
101110110000510
11398882178015
1215b191714992
13808b54cb0b4
143ba300a2130
151dd2333b975
hex10277b6557e

1110110000510 has 96 divisors (see below), whose sum is σ = 2366463408192. Its totient is φ = 367275525120.

The previous prime is 1110110000501. The next prime is 1110110000513. The reversal of 1110110000510 is 150000110111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1110110000491 and 1110110000500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110110000513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130275050 + ... + 130283570.

It is an arithmetic number, because the mean of its divisors is an integer number (24650660502).

Almost surely, 21110110000510 is an apocalyptic number.

1110110000510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1110110000510 is an abundant number, since it is smaller than the sum of its proper divisors (1256353407682).

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

1110110000510 is a wasteful number, since it uses less digits than its factorization.

1110110000510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 1110110000510 its reverse (150000110111), we get a palindrome (1260110110621).

The spelling of 1110110000510 in words is "one trillion, one hundred ten billion, one hundred ten million, five hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 841 1015 1682 2030 2213 4205 4426 5887 8410 8521 11065 11774 15491 17042 22130 29435 30982 42605 58870 59647 64177 77455 85210 119294 128354 154910 247109 298235 320885 449239 494218 596470 641770 898478 1235545 1729763 1861133 2246195 2471090 3459526 3722266 4492390 7166161 8648815 9305665 13027931 14332322 17297630 18611330 18856973 26055862 35830805 37713946 50163127 65139655 71661610 94284865 100326254 130279310 131998811 188569730 250815635 263997622 501631270 546852217 659994055 1093704434 1319988110 2734261085 3827965519 5468522170 7655931038 15858714293 19139827595 31717428586 38279655190 79293571465 111011000051 158587142930 222022000102 555055000255 1110110000510