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10022023230112 = 2519108722076871
BaseRepresentation
bin1001000111010110111100…
…1000100111001010100000
31022111002121000211021000201
42101311233020213022200
52303200100421330422
633152015351154544
72053032035614255
oct221655710471240
938432530737021
1010022023230112
113214352926843
12115a403375a54
135790c3a51c2a
142690d5dd942c
15125a6860e727
hex91d6f2272a0

10022023230112 has 96 divisors (see below), whose sum is σ = 20800877690880. Its totient is φ = 4740067848960.

The previous prime is 10022023230041. The next prime is 10022023230133. The reversal of 10022023230112 is 21103232022001.

It is a super-4 number, since 4×100220232301124 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 10022023230112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458594037 + ... + 1458600907.

It is an arithmetic number, because the mean of its divisors is an integer number (216675809280).

Almost surely, 210022023230112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022023230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10400438845440).

10022023230112 is an abundant number, since it is smaller than the sum of its proper divisors (10778854460768).

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

10022023230112 is a wasteful number, since it uses less digits than its factorization.

10022023230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10022023230112 its reverse (21103232022001), we get a palindrome (31125255252113).

The spelling of 10022023230112 in words is "ten trillion, twenty-two billion, twenty-three million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1087 2174 2207 4348 4414 6871 8696 8828 13742 17392 17656 20653 27484 34784 35312 41306 41933 54968 70624 82612 83866 109936 130549 165224 167732 219872 261098 330448 335464 522196 660896 670928 1044392 1341856 2088784 2399009 4177568 4798018 7468777 9596036 14937554 15164297 19192072 29875108 30328594 38384144 45581171 59750216 60657188 76768288 91162342 119500432 121314376 141906763 182324684 239000864 242628752 283813526 288121643 364649368 485257504 567627052 576243286 729298736 1135254104 1152486572 1458597472 2270508208 2304973144 4541016416 4609946288 9219892576 16483590839 32967181678 65934363356 131868726712 263737453424 313188225941 527474906848 626376451882 1252752903764 2505505807528 5011011615056 10022023230112