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10022042203512 = 2331943154079431
BaseRepresentation
bin1001000111010111000001…
…0000111111010101111000
31022111002122100112012122020
42101311300100333111320
52303200120301003022
633152021305554440
72053032356106303
oct221656020772570
938432570465566
1010022042203512
113214362605839
12115a4097a5a20
135790c7965cb1
142690d8737b3a
15125a6a10b35c
hex91d7043f578

10022042203512 has 128 divisors (see below), whose sum is σ = 26442679910400. Its totient is φ = 3156593673600.

The previous prime is 10022042203507. The next prime is 10022042203513. The reversal of 10022042203512 is 21530224022001.

10022042203512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022042203513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062665437 + ... + 1062674867.

It is an arithmetic number, because the mean of its divisors is an integer number (206583436800).

Almost surely, 210022042203512 is an apocalyptic number.

10022042203512 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 10022042203512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221339955200).

10022042203512 is an abundant number, since it is smaller than the sum of its proper divisors (16420637706888).

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

10022042203512 is a wasteful number, since it uses less digits than its factorization.

10022042203512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15297 (or 15293 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10022042203512 its reverse (21530224022001), we get a palindrome (31552266225513).

The spelling of 10022042203512 in words is "ten trillion, twenty-two billion, forty-two million, two hundred three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 431 456 862 1293 1724 2586 3448 5172 5407 8189 9431 10344 10814 16221 16378 18862 21628 24567 28293 32442 32756 37724 43256 49134 56586 64884 65512 75448 98268 102733 113172 129768 179189 196536 205466 226344 308199 358378 410932 537567 616398 716756 821864 1075134 1232796 1433512 2150268 2330417 2465592 4064761 4300536 4660834 6991251 8129522 9321668 12194283 13982502 16259044 18643336 24388566 27965004 32518088 44277923 48777132 50993417 55930008 77230459 88555846 97554264 101986834 132833769 152980251 154460918 177111692 203973668 231691377 265667538 305960502 308921836 354223384 407947336 463382754 531335076 611921004 617843672 926765508 968874923 1062670152 1223842008 1853531016 1937749846 2906624769 3875499692 5813249538 7750999384 11626499076 21978162727 23252998152 43956325454 65934488181 87912650908 131868976362 175825301816 263737952724 417585091813 527475905448 835170183626 1252755275439 1670340367252 2505510550878 3340680734504 5011021101756 10022042203512