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213103031000 = 235319101111049
BaseRepresentation
bin1100011001110111101…
…1100011001011011000
3202101001111221121220212
43012131323203023120
511442413333443000
6241522001310252
721252614606366
oct3063573431330
9671044847825
10213103031000
1182416118342
1235373935388
1317131b56162
14a4583ca636
155823978c35
hex319dee32d8

213103031000 has 128 divisors (see below), whose sum is σ = 530108280000. Its totient is φ = 79954560000.

The previous prime is 213103030999. The next prime is 213103031017. The reversal of 213103031000 is 130301312.

It is a super-2 number, since 2×2131030310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863476 + ... + 1974524.

Almost surely, 2213103031000 is an apocalyptic number.

213103031000 is a gapful number since it is divisible by the number (20) 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 213103031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265054140000).

213103031000 is an abundant number, since it is smaller than the sum of its proper divisors (317005249000).

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

213103031000 is a wasteful number, since it uses less digits than its factorization.

213103031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111190 (or 111176 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213103031000 its reverse (130301312), we get a palindrome (213233332312).

The spelling of 213103031000 in words is "two hundred thirteen billion, one hundred three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 101 125 152 190 200 202 250 380 404 475 500 505 760 808 950 1000 1010 1900 1919 2020 2375 2525 3800 3838 4040 4750 5050 7676 9500 9595 10100 12625 15352 19000 19190 20200 25250 38380 47975 50500 76760 95950 101000 111049 191900 222098 239875 383800 444196 479750 555245 888392 959500 1110490 1919000 2109931 2220980 2776225 4219862 4441960 5552450 8439724 10549655 11104900 11215949 13881125 16879448 21099310 22209800 22431898 27762250 42198620 44863796 52748275 55524500 56079745 84397240 89727592 105496550 111049000 112159490 210993100 213103031 224318980 263741375 280398725 421986200 426206062 448637960 527482750 560797450 852412124 1054965500 1065515155 1121594900 1401993625 1704824248 2109931000 2131030310 2243189800 2803987250 4262060620 5327575775 5607974500 8524121240 10655151550 11215949000 21310303100 26637878875 42620606200 53275757750 106551515500 213103031000