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10212303000 = 2335311632927
BaseRepresentation
bin10011000001011001…
…10110000010011000
3222100201020202002110
421200230312002120
5131403322144000
64405205032320
7511033100064
oct114054660230
928321222073
1010212303000
114370640439
121b900b56a0
13c69991653
146cc428aa4
153eb847850
hex260b36098

10212303000 has 128 divisors (see below), whose sum is σ = 31900677120. Its totient is φ = 2720009600.

The previous prime is 10212302987. The next prime is 10212303007. The reversal of 10212303000 is 30321201.

It is a happy number.

It is a super-2 number, since 2×102123030002 (a number of 21 digits) contains 22 as substring.

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 (10212303007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3487537 + ... + 3490463.

It is an arithmetic number, because the mean of its divisors is an integer number (249224040).

Almost surely, 210212303000 is an apocalyptic number.

10212303000 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 10212303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15950338560).

10212303000 is an abundant number, since it is smaller than the sum of its proper divisors (21688374120).

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

10212303000 is a wasteful number, since it uses less digits than its factorization.

10212303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4100 counting only the distinct ones).

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

Adding to 10212303000 its reverse (30321201), we get a palindrome (10242624201).

The spelling of 10212303000 in words is "ten billion, two hundred twelve million, three hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1163 1500 2326 2927 3000 3489 4652 5815 5854 6978 8781 9304 11630 11708 13956 14635 17445 17562 23260 23416 27912 29075 29270 34890 35124 43905 46520 58150 58540 69780 70248 73175 87225 87810 116300 117080 139560 145375 146350 174450 175620 219525 232600 290750 292700 348900 351240 365875 436125 439050 581500 585400 697800 731750 872250 878100 1097625 1163000 1463500 1744500 1756200 2195250 2927000 3404101 3489000 4390500 6808202 8781000 10212303 13616404 17020505 20424606 27232808 34041010 40849212 51061515 68082020 81698424 85102525 102123030 136164040 170205050 204246060 255307575 340410100 408492120 425512625 510615150 680820200 851025250 1021230300 1276537875 1702050500 2042460600 2553075750 3404101000 5106151500 10212303000