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10022231142 = 2337114158789
BaseRepresentation
bin10010101010101111…
…10001110001100110
3221212110121002112000
421111113301301212
5131011142344032
64334255110130
7503234362530
oct112527616146
927773532460
1010022231142
114283319660
121b38512346
13c394a22b1
146b10ac850
153d9ceee7c
hex2555f1c66

10022231142 has 128 divisors (see below), whose sum is σ = 28444953600. Its totient is φ = 2539641600.

The previous prime is 10022231123. The next prime is 10022231161. The reversal of 10022231142 is 24113222001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10022231123) and next prime (10022231161).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141084 + ... + 199872.

It is an arithmetic number, because the mean of its divisors is an integer number (222226200).

Almost surely, 210022231142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022231142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222476800).

10022231142 is an abundant number, since it is smaller than the sum of its proper divisors (18422722458).

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

10022231142 is a wasteful number, since it uses less digits than its factorization.

10022231142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58859 (or 58853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10022231142 its reverse (24113222001), we get a palindrome (34135453143).

The spelling of 10022231142 in words is "ten billion, twenty-two million, two hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 41 42 54 63 66 77 82 99 123 126 154 189 198 231 246 287 297 369 378 451 462 574 594 693 738 861 902 1107 1353 1386 1722 2079 2214 2583 2706 3157 4059 4158 5166 6314 7749 8118 9471 12177 15498 18942 24354 28413 56826 58789 85239 117578 170478 176367 352734 411523 529101 646679 823046 1058202 1234569 1293358 1587303 1940037 2410349 2469138 3174606 3703707 3880074 4526753 4820698 5820111 7231047 7407414 9053506 11111121 11640222 13580259 14462094 16872443 17460333 21693141 22222242 26513839 27160518 33744886 34920666 40740777 43386282 50617329 53027678 65079423 79541517 81481554 101234658 122222331 130158846 151851987 159083034 185596873 238624551 244444662 303703974 371193746 455555961 477249102 556790619 715873653 911111922 1113581238 1431747306 1670371857 3340743714 5011115571 10022231142