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10122212420 = 22517531274423
BaseRepresentation
bin10010110110101010…
…01011010001000100
3222010102201200001022
421123111023101010
5131212241244140
64352230050312
7505560246245
oct113325132104
928112650038
1010122212420
1143247a8011
121b65aa9998
13c5410a408
146c0496ccc
153e399e0b5
hex25b54b444

10122212420 has 96 divisors (see below), whose sum is σ = 23117488128. Its totient is φ = 3708536832.

The previous prime is 10122212383. The next prime is 10122212453. The reversal of 10122212420 is 2421222101.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 2286329 + ... + 2290751.

It is an arithmetic number, because the mean of its divisors is an integer number (240807168).

Almost surely, 210122212420 is an apocalyptic number.

10122212420 is a gapful number since it is divisible by the number (10) 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 10122212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558744064).

10122212420 is an abundant number, since it is smaller than the sum of its proper divisors (12995275708).

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

10122212420 is a wasteful number, since it uses less digits than its factorization.

10122212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10122212420 its reverse (2421222101), we get a palindrome (12543434521).

The spelling of 10122212420 in words is "ten billion, one hundred twenty-two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 127 170 212 254 265 340 508 530 635 901 1060 1270 1802 2159 2540 3604 4318 4423 4505 6731 8636 8846 9010 10795 13462 17692 18020 21590 22115 26924 33655 43180 44230 67310 75191 88460 114427 134620 150382 228854 234419 300764 375955 457708 468838 561721 572135 751910 937676 1123442 1144270 1172095 1503820 2246884 2288540 2344190 2808605 3985123 4688380 5617210 7970246 9549257 11234420 15940492 19098514 19925615 29771213 38197028 39851230 47746285 59542426 79702460 95492570 119084852 148856065 190985140 297712130 506110621 595424260 1012221242 2024442484 2530553105 5061106210 10122212420