Search a number
-
+
101032203300 = 22352726872939
BaseRepresentation
bin101111000010111111…
…1010001010000100100
3100122210002220200222120
41132011333101100210
53123403221001200
6114225154425540
710204446362400
oct1360577212044
9318702820876
10101032203300
1139936054786
12176b75922b0
1396b1613722
144c66192100
152964b7c9a0
hex1785fd1424

101032203300 has 108 divisors (see below), whose sum is σ = 340045579440. Its totient is φ = 23093071680.

The previous prime is 101032203287. The next prime is 101032203313. The reversal of 101032203300 is 3302230101.

It is an interprime number because it is at equal distance from previous prime (101032203287) and next prime (101032203313).

It is a super-2 number, since 2×1010322033002 (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 101032203300.

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, 3421770 + ... + 3451169.

It is an arithmetic number, because the mean of its divisors is an integer number (3148570180).

Almost surely, 2101032203300 is an apocalyptic number.

101032203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101032203300 is an abundant number, since it is smaller than the sum of its proper divisors (239013376140).

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

101032203300 is a wasteful number, since it uses less digits than its factorization.

101032203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872970 (or 6872956 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 101032203300 its reverse (3302230101), we get a palindrome (104334433401).

The spelling of 101032203300 in words is "one hundred one billion, thirty-two million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 6872939 13745878 20618817 27491756 34364695 41237634 48110573 68729390 82475268 96221146 103094085 137458780 144331719 171823475 192442292 206188170 240552865 288663438 336774011 343646950 412376340 481105730 515470425 577326876 673548022 687293900 721658595 962211460 1010322033 1030940850 1202764325 1347096044 1443317190 1683870055 2020644066 2061881700 2405528650 2886634380 3367740110 3608292975 4041288132 4811057300 5051610165 6735480220 7216585950 8419350275 10103220330 14433171900 16838700550 20206440660 25258050825 33677401100 50516101650 101032203300