Search a number
-
+
1034101103310 = 232511294958779
BaseRepresentation
bin11110000110001010011…
…10101001101011001110
310122212012021122221222100
433003011032221223032
5113420314340301220
62111020503255530
7134465663230212
oct17030516515316
93585167587870
101034101103310
11369618128600
121484ba44a5a6
13766911c1092
143809d402942
151bd75436d90
hexf0c53a9ace

1034101103310 has 72 divisors (see below), whose sum is σ = 2955307151160. Its totient is φ = 250691173920.

The previous prime is 1034101103303. The next prime is 1034101103327. The reversal of 1034101103310 is 133011014301.

1034101103310 is a `hidden beast` number, since 1 + 0 + 341 + 0 + 1 + 10 + 3 + 310 = 666.

It is a super-2 number, since 2×10341011033102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47468500 + ... + 47490279.

It is an arithmetic number, because the mean of its divisors is an integer number (41045932655).

Almost surely, 21034101103310 is an apocalyptic number.

1034101103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1034101103310 is an abundant number, since it is smaller than the sum of its proper divisors (1921206047850).

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

1034101103310 is a wasteful number, since it uses less digits than its factorization.

1034101103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94958814 (or 94958800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1034101103310 its reverse (133011014301), we get a palindrome (1167112117611).

The spelling of 1034101103310 in words is "one trillion, thirty-four billion, one hundred one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 94958779 189917558 284876337 474793895 569752674 854629011 949587790 1044546569 1424381685 1709258022 2089093138 2848763370 3133639707 4273145055 5222732845 6267279414 8546290110 9400919121 10445465690 11490012259 15668198535 18801838242 22980024518 31336397070 34470036777 47004595605 57450061295 68940073554 94009191210 103410110331 114900122590 172350183885 206820220662 344700367770 517050551655 1034101103310