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10212211230 = 23513474671193
BaseRepresentation
bin10011000001011000…
…11111101000011110
3222100201002002012120
421200230133220132
5131403311224410
64405203043410
7511032235404
oct114054375036
928321062176
1010212211230
1143705884a1
121b90070566
13c6995b950
146cc403474
153eb82a570
hex260b1fa1e

10212211230 has 128 divisors (see below), whose sum is σ = 27036592128. Its totient is φ = 2452964352.

The previous prime is 10212211223. The next prime is 10212211237. The reversal of 10212211230 is 3211221201.

10212211230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10212211223) and next prime (10212211237).

It is a super-2 number, since 2×102122112302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212211237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8559514 + ... + 8560706.

It is an arithmetic number, because the mean of its divisors is an integer number (211223376).

Almost surely, 210212211230 is an apocalyptic number.

10212211230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518296064).

10212211230 is an abundant number, since it is smaller than the sum of its proper divisors (16824380898).

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

10212211230 is a wasteful number, since it uses less digits than its factorization.

10212211230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10212211230 its reverse (3211221201), we get a palindrome (13423432431).

The spelling of 10212211230 in words is "ten billion, two hundred twelve million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 467 470 611 705 934 1193 1222 1401 1410 1833 2335 2386 2802 3055 3579 3666 4670 5965 6071 6110 7005 7158 9165 11930 12142 14010 15509 17895 18213 18330 21949 30355 31018 35790 36426 43898 46527 56071 60710 65847 77545 91065 93054 109745 112142 131694 155090 168213 182130 219490 232635 280355 285337 329235 336426 465270 557131 560710 570674 658470 728923 841065 856011 1114262 1426685 1457846 1671393 1682130 1712022 2186769 2785655 2853370 3342786 3644615 4280055 4373538 5571310 7242703 7289230 8356965 8560110 10933845 14485406 16713930 21728109 21867690 26185157 36213515 43456218 52370314 72427030 78555471 108640545 130925785 157110942 217281090 261851570 340407041 392777355 680814082 785554710 1021221123 1702035205 2042442246 3404070410 5106105615 10212211230