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10122112200020 = 2254382729574813
BaseRepresentation
bin1001001101001011110011…
…1001101110110101010100
31022211122221101212202001012
42103102330321232311110
52311320041210400040
633310011213151352
72063204243045252
oct223227471566524
938748841782035
1010122112200020
1132528444aa297
121175896a8b558
13585684b12792
1426dcacbb95d2
15128475570865
hex934bce6ed54

10122112200020 has 96 divisors (see below), whose sum is σ = 21788962892928. Its totient is φ = 3947747553792.

The previous prime is 10122112200001. The next prime is 10122112200119. The reversal of 10122112200020 is 2000221122101.

It is a junction number, because it is equal to n+sod(n) for n = 10122112199968 and 10122112200004.

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, 2103075134 + ... + 2103079946.

It is an arithmetic number, because the mean of its divisors is an integer number (226968363468).

Almost surely, 210122112200020 is an apocalyptic number.

10122112200020 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 10122112200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894481446464).

10122112200020 is an abundant number, since it is smaller than the sum of its proper divisors (11666850692908).

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

10122112200020 is a wasteful number, since it uses less digits than its factorization.

10122112200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122112200020 its reverse (2000221122101), we get a palindrome (12122333322121).

The spelling of 10122112200020 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 827 860 1654 2957 3308 4135 4813 5914 8270 9626 11828 14785 16540 19252 24065 29570 35561 48130 59140 71122 96260 127151 142244 177805 206959 254302 355610 413918 508604 635755 711220 827836 1034795 1271510 2069590 2445439 2543020 3980351 4139180 4890878 7960702 9781756 12227195 14232041 15921404 19901755 24454390 28464082 39803510 48908780 56928164 71160205 79607020 105153877 142320410 171155093 210307754 284640820 342310186 420615508 525769385 611977763 684620372 855775465 1051538770 1223955526 1711550930 2103077540 2447911052 3059888815 3423101860 6119777630 11769897907 12239555260 23539795814 47079591628 58849489535 117698979070 235397958140 506105610001 1012211220002 2024422440004 2530528050005 5061056100010 10122112200020