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1320300100 = 2252722271187
BaseRepresentation
bin100111010110010…
…0010111001000100
310102000101012020201
41032230202321010
510200444100400
6335002340244
744501236300
oct11654427104
93360335221
101320300100
11618303009
1230a1ba684
131806c4b82
14c74c6d00
157ada006a
hex4eb22e44

1320300100 has 108 divisors (see below), whose sum is σ = 3350316816. Its totient is φ = 450300480.

The previous prime is 1320300097. The next prime is 1320300109. The reversal of 1320300100 is 10030231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1320300109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1111707 + ... + 1112893.

It is an arithmetic number, because the mean of its divisors is an integer number (31021452).

Almost surely, 21320300100 is an apocalyptic number.

1320300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675158408).

1320300100 is an abundant number, since it is smaller than the sum of its proper divisors (2030016716).

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

1320300100 is a wasteful number, since it uses less digits than its factorization.

1320300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1320300100 is about 36335.9340047837. The cubic root of 1320300100 is about 1097.0444350181.

Adding to 1320300100 its reverse (10030231), we get a palindrome (1330330331).

The spelling of 1320300100 in words is "one billion, three hundred twenty million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 227 245 350 454 490 700 908 980 1135 1187 1225 1589 2270 2374 2450 3178 4540 4748 4900 5675 5935 6356 7945 8309 11123 11350 11870 15890 16618 22246 22700 23740 29675 31780 33236 39725 41545 44492 55615 58163 59350 79450 83090 111230 116326 118700 158900 166180 207725 222460 232652 269449 278075 290815 415450 538898 556150 581630 830900 1077796 1112300 1163260 1347245 1454075 1886143 2694490 2908150 3772286 5388980 5816300 6736225 7544572 9430715 13203001 13472450 18861430 26406002 26944900 37722860 47153575 52812004 66015005 94307150 132030010 188614300 264060020 330075025 660150050 1320300100