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10022121111220 = 2252353990141519
BaseRepresentation
bin1001000111010111010011…
…1101111111111010110100
31022111002211212000010122221
42101311310331333322310
52303200301001024340
633152033205132124
72053034334603031
oct221656475777264
938432755003587
1010022121111220
1132143a3100319
12115a4300ba044
1357910b10314a
14269104dd8388
15125a71ee644a
hex91d74f7feb4

10022121111220 has 96 divisors (see below), whose sum is σ = 22378684769280. Its totient is φ = 3761730086400.

The previous prime is 10022121111203. The next prime is 10022121111229. The reversal of 10022121111220 is 2211112122001.

It is a junction number, because it is equal to n+sod(n) for n = 10022121111194 and 10022121111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022121111229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241365621 + ... + 241407139.

It is an arithmetic number, because the mean of its divisors is an integer number (233111299680).

Almost surely, 210022121111220 is an apocalyptic number.

10022121111220 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 10022121111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189342384640).

10022121111220 is an abundant number, since it is smaller than the sum of its proper divisors (12356563658060).

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

10022121111220 is a wasteful number, since it uses less digits than its factorization.

10022121111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51505 (or 51503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10022121111220 its reverse (2211112122001), we get a palindrome (12233233233221).

The spelling of 10022121111220 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 1060 1219 2438 4876 6095 9901 12190 19802 24380 39604 41519 49505 83038 99010 166076 198020 207595 227723 415190 455446 524753 830380 910892 954937 1049506 1138615 1909874 2099012 2200507 2277230 2623765 3819748 4401014 4554460 4774685 5247530 8802028 9549370 10495060 11002535 12069319 19098740 22005070 24138638 44010140 48277276 50611661 60346595 101223322 120693190 202446644 241386380 253058305 411079619 506116610 822159238 1012233220 1644318476 2055398095 4110796190 8221592380 9454831237 18909662474 21787219807 37819324948 43574439614 47274156185 87148879228 94548312370 108936099035 189096624740 217872198070 435744396140 501106055561 1002212111122 2004424222244 2505530277805 5011060555610 10022121111220