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100313110000 = 245443323167
BaseRepresentation
bin101110101101100100…
…0001001010111110000
3100120220222210222102101
41131123020021113300
53120420124010000
6114025550030144
710150565236435
oct1353310112760
9316828728371
10100313110000
11395a71542a4
12175367a8354
1395c864a82c
144bd8887b8c
152921987e6a
hex175b2095f0

100313110000 has 100 divisors (see below), whose sum is σ = 243439474432. Its totient is φ = 40030848000.

The previous prime is 100313109997. The next prime is 100313110033. The reversal of 100313110000 is 11313001.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4318417 + ... + 4341583.

Almost surely, 2100313110000 is an apocalyptic number.

100313110000 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 100313110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121719737216).

100313110000 is an abundant number, since it is smaller than the sum of its proper divisors (143126364432).

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

100313110000 is an equidigital number, since it uses as much as digits as its factorization.

100313110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23628 (or 23607 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100313110000 its reverse (11313001), we get a palindrome (100324423001).

The spelling of 100313110000 in words is "one hundred billion, three hundred thirteen million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 433 500 625 866 1000 1250 1732 2000 2165 2500 3464 4330 5000 6928 8660 10000 10825 17320 21650 23167 34640 43300 46334 54125 86600 92668 108250 115835 173200 185336 216500 231670 270625 370672 433000 463340 541250 579175 866000 926680 1082500 1158350 1853360 2165000 2316700 2895875 4330000 4633400 5791750 9266800 10031311 11583500 14479375 20062622 23167000 28958750 40125244 46334000 50156555 57917500 80250488 100313110 115835000 160500976 200626220 231670000 250782775 401252440 501565550 802504880 1003131100 1253913875 2006262200 2507827750 4012524400 5015655500 6269569375 10031311000 12539138750 20062622000 25078277500 50156555000 100313110000