Search a number
-
+
10103320110 = 23513196592069
BaseRepresentation
bin10010110100011010…
…00110111000101110
3222002010011211200010
421122031012320232
5131142422220420
64350313114050
7505240542522
oct113215067056
928063154603
1010103320110
114315073a34
121b5b6b8926
13c50224230
146bbb79d82
153e1ebb4e0
hex25a346e2e

10103320110 has 128 divisors (see below), whose sum is σ = 27542592000. Its totient is φ = 2351365632.

The previous prime is 10103320061. The next prime is 10103320151. The reversal of 10103320110 is 1102330101.

10103320110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4882156 + ... + 4884224.

It is an arithmetic number, because the mean of its divisors is an integer number (215176500).

Almost surely, 210103320110 is an apocalyptic number.

10103320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103320110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771296000).

10103320110 is an abundant number, since it is smaller than the sum of its proper divisors (17439271890).

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

10103320110 is a wasteful number, since it uses less digits than its factorization.

10103320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10103320110 its reverse (1102330101), we get a palindrome (11205650211).

Subtracting from 10103320110 its reverse (1102330101), we obtain a palindrome (9000990009).

The spelling of 10103320110 in words is "ten billion, one hundred three million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 659 741 1235 1318 1482 1977 2069 2470 3295 3705 3954 4138 6207 6590 7410 8567 9885 10345 12414 12521 17134 19770 20690 25042 25701 26897 31035 37563 39311 42835 51402 53794 62070 62605 75126 78622 80691 85670 117933 125210 128505 134485 161382 162773 187815 196555 235866 257010 268970 325546 375630 393110 403455 488319 511043 589665 806910 813865 976638 1022086 1179330 1363471 1533129 1627730 2441595 2555215 2726942 3066258 4090413 4883190 5110430 6817355 7665645 8180826 13634710 15331290 17725123 20452065 25905949 35450246 40904130 51811898 53175369 77717847 88625615 106350738 129529745 155435694 177251230 259059490 265876845 336777337 388589235 531753690 673554674 777178470 1010332011 1683886685 2020664022 3367773370 5051660055 10103320110