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10022102122110 = 23513193133148693
BaseRepresentation
bin1001000111010111001111…
…0101100011111001111110
31022111002210112021101111120
42101311303311203321332
52303200231120401420
633152031250131410
72053034014314141
oct221656365437176
938432715241446
1010022102122110
113214393410541
12115a425880b66
135791071b4ba0
14269102694058
15125a704e4d40
hex91d73d63e7e

10022102122110 has 64 divisors (see below), whose sum is σ = 26037493409088. Its totient is φ = 2454196690944.

The previous prime is 10022102122103. The next prime is 10022102122129. The reversal of 10022102122110 is 1122120122001.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022102122110.

It is a congruent number.

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, 66499077 + ... + 66649616.

It is an arithmetic number, because the mean of its divisors is an integer number (406835834517).

Almost surely, 210022102122110 is an apocalyptic number.

10022102122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022102122110 is an abundant number, since it is smaller than the sum of its proper divisors (16015391286978).

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

10022102122110 is a wasteful number, since it uses less digits than its factorization.

10022102122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133148909.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10022102122110 its reverse (1122120122001), we get a palindrome (11144222244111).

The spelling of 10022102122110 in words is "ten trillion, twenty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 193 195 386 390 579 965 1158 1930 2509 2895 5018 5790 7527 12545 15054 25090 37635 75270 133148693 266297386 399446079 665743465 798892158 1331486930 1730933009 1997230395 3461866018 3994460790 5192799027 8654665045 10385598054 17309330090 25697697749 25963995135 51395395498 51927990270 77093093247 128488488745 154186186494 256976977490 334070070737 385465466235 668140141474 770930932470 1002210212211 1670350353685 2004420424422 3340700707370 5011051061055 10022102122110