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103020313110 = 235111329828071
BaseRepresentation
bin101111111110001111…
…1010011101000010110
3100211220122220010221020
41133330133103220112
53141441200004420
6115154334502010
710304640133041
oct1377437235026
9324818803836
10103020313110
113a766310040
1217b71364906
13993a486a70
144db4233c58
152a2e492340
hex17fc7d3a16

103020313110 has 128 divisors (see below), whose sum is σ = 300490767360. Its totient is φ = 22258521600.

The previous prime is 103020313091. The next prime is 103020313141. The reversal of 103020313110 is 11313020301.

It is a super-2 number, since 2×1030203131102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103020313110.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 289626 + ... + 538445.

It is an arithmetic number, because the mean of its divisors is an integer number (2347584120).

Almost surely, 2103020313110 is an apocalyptic number.

103020313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103020313110 is an abundant number, since it is smaller than the sum of its proper divisors (197470454250).

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

103020313110 is a wasteful number, since it uses less digits than its factorization.

103020313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828134.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103020313110 its reverse (11313020301), we get a palindrome (114333333411).

The spelling of 103020313110 in words is "one hundred three billion, twenty million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 29 30 33 39 55 58 65 66 78 87 110 130 143 145 165 174 195 286 290 319 330 377 390 429 435 638 715 754 858 870 957 1131 1430 1595 1885 1914 2145 2262 3190 3770 4147 4290 4785 5655 8294 9570 11310 12441 20735 24882 41470 62205 124410 828071 1656142 2484213 4140355 4968426 8280710 9108781 10764923 12421065 18217562 21529846 24014059 24842130 27326343 32294769 45543905 48028118 53824615 54652686 64589538 72042177 91087810 107649230 118414153 120070295 136631715 144084354 161473845 236828306 240140590 264154649 273263430 312182767 322947690 355242459 360210885 528309298 592070765 624365534 710484918 720421770 792463947 936548301 1184141530 1320773245 1560913835 1584927894 1776212295 1873096602 2641546490 3121827670 3434010437 3552424590 3962319735 4682741505 6868020874 7924639470 9365483010 10302031311 17170052185 20604062622 34340104370 51510156555 103020313110