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213102300000 = 25355710341
BaseRepresentation
bin1100011001110111100…
…0110000101101100000
3202101001110120111011210
43012131320300231200
511442413142100000
6241521533510120
721252605443242
oct3063570605540
9671043514153
10213102300000
1182415769107
1235373642340
131713195b505
14a45827a092
155823882350
hex319de30b60

213102300000 has 144 divisors (see below), whose sum is σ = 699198154704. Its totient is φ = 56827200000.

The previous prime is 213102299999. The next prime is 213102300001. The reversal of 213102300000 is 3201312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213102299999) and next prime (213102300001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102300001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55171 + ... + 655170.

It is an arithmetic number, because the mean of its divisors is an integer number (4855542741).

Almost surely, 2213102300000 is an apocalyptic number.

213102300000 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 213102300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349599077352).

213102300000 is an abundant number, since it is smaller than the sum of its proper divisors (486095854704).

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

213102300000 is an frugal number, since it uses more digits than its factorization.

213102300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710379 (or 710351 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 213102300000 its reverse (3201312), we get a palindrome (213105501312).

The spelling of 213102300000 in words is "two hundred thirteen billion, one hundred two million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 710341 1420682 2131023 2841364 3551705 4262046 5682728 7103410 8524092 10655115 11365456 14206820 17048184 17758525 21310230 22730912 28413640 34096368 35517050 42620460 53275575 56827280 68192736 71034100 85240920 88792625 106551150 113654560 142068200 170481840 177585250 213102300 266377875 284136400 340963680 355170500 426204600 443963125 532755750 568272800 710341000 852409200 887926250 1065511500 1331889375 1420682000 1704818400 1775852500 2131023000 2219815625 2663778750 2841364000 3551705000 4262046000 4439631250 5327557500 6659446875 7103410000 8524092000 8879262500 10655115000 13318893750 14206820000 17758525000 21310230000 26637787500 35517050000 42620460000 53275575000 71034100000 106551150000 213102300000