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10122113112020 = 2257213794514373
BaseRepresentation
bin1001001101001011110011…
…1101001101011111010100
31022211122221110121002001222
42103102330331031133110
52311320041424041040
633310011244505512
72063204253564200
oct223227475153724
938748843532058
1010122113112020
113252844a72508
12117589724b298
13585685071920
1426dcacd75b00
151284756a0bb5
hex934bcf4d7d4

10122113112020 has 72 divisors (see below), whose sum is σ = 26628943758984. Its totient is φ = 3203481947904.

The previous prime is 10122113111987. The next prime is 10122113112029. The reversal of 10122113112020 is 2021131122101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 566509118224 + 9555603993796 = 752668^2 + 3091214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10122113112020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122113112029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397244447 + ... + 397269926.

It is an arithmetic number, because the mean of its divisors is an integer number (369846441097).

Almost surely, 210122113112020 is an apocalyptic number.

10122113112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122113112020 is an abundant number, since it is smaller than the sum of its proper divisors (16506830646964).

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

10122113112020 is a wasteful number, since it uses less digits than its factorization.

10122113112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794514409 (or 794514400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10122113112020 its reverse (2021131122101), we get a palindrome (12143244234121).

The spelling of 10122113112020 in words is "ten trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 794514373 1589028746 3178057492 3972571865 5561600611 7945143730 10328686849 11123201222 15890287460 20657373698 22246402444 27808003055 38931204277 41314747396 51643434245 55616006110 72300807943 77862408554 103286868490 111232012220 144601615886 155724817108 194656021385 206573736980 289203231772 361504039715 389312042770 506105655601 723008079430 778624085540 1012211311202 1446016158860 2024422622404 2530528278005 5061056556010 10122113112020