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10214331012 = 22371975927
BaseRepresentation
bin10011000001101001…
…00101001010000100
3222100212001210000000
421200310211022010
5131404332043022
64405320321300
7511056244464
oct114064451204
928325053000
1010214331012
1143717a6086
121b90913230
13c6a221762
146cc7d5ba4
153ebae86ac
hex260d25284

10214331012 has 96 divisors (see below), whose sum is σ = 26949162240. Its totient is φ = 3386922336.

The previous prime is 10214330999. The next prime is 10214331041. The reversal of 10214331012 is 21013341201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1720393 + ... + 1726319.

It is an arithmetic number, because the mean of its divisors is an integer number (280720440).

Almost surely, 210214331012 is an apocalyptic number.

10214331012 is a gapful number since it is divisible by the number (12) 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 10214331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474581120).

10214331012 is an abundant number, since it is smaller than the sum of its proper divisors (16734831228).

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

10214331012 is an equidigital number, since it uses as much as digits as its factorization.

10214331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10214331012 its reverse (21013341201), we get a palindrome (31227672213).

The spelling of 10214331012 in words is "ten billion, two hundred fourteen million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 243 324 394 486 591 729 788 972 1182 1458 1773 2187 2364 2916 3546 4374 5319 5927 7092 8748 10638 11854 15957 17781 21276 23708 31914 35562 47871 53343 63828 71124 95742 106686 143613 160029 191484 213372 287226 320058 430839 480087 574452 640116 861678 960174 1167619 1440261 1723356 1920348 2335238 2880522 3502857 4320783 4670476 5761044 7005714 8641566 10508571 12962349 14011428 17283132 21017142 25924698 31525713 42034284 51849396 63051426 94577139 126102852 189154278 283731417 378308556 567462834 851194251 1134925668 1702388502 2553582753 3404777004 5107165506 10214331012