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10221120220212 = 22331138322463803
BaseRepresentation
bin1001010010111100101000…
…1111010110110000110100
31100012010111102221021211000
42110233022033112300310
52314430323234021322
633423303502443300
72103310613245326
oct224571217266064
940163442837730
1010221120220212
11329083099a270
121190b08593530
13591b02c62705
142749c21b9616
1512ad1c6603ac
hex94bca3d6c34

10221120220212 has 96 divisors (see below), whose sum is σ = 28983698472960. Its totient is φ = 3089222051040.

The previous prime is 10221120220189. The next prime is 10221120220273. The reversal of 10221120220212 is 21202202112201.

It is a happy number.

10221120220212 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 20 + 220 + 212 = 666.

10221120220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10776898 + ... + 11686905.

It is an arithmetic number, because the mean of its divisors is an integer number (301913525760).

Almost surely, 210221120220212 is an apocalyptic number.

10221120220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221120220212 is an abundant number, since it is smaller than the sum of its proper divisors (18762578252748).

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

10221120220212 is a wasteful number, since it uses less digits than its factorization.

10221120220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22464210 (or 22464202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221120220212 its reverse (21202202112201), we get a palindrome (31423322332413).

The spelling of 10221120220212 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 383 396 594 766 1149 1188 1532 2298 3447 4213 4596 6894 8426 10341 12639 13788 16852 20682 25278 37917 41364 50556 75834 113751 151668 227502 455004 22463803 44927606 67391409 89855212 134782818 202174227 247101833 269565636 404348454 494203666 606522681 741305499 808696908 988407332 1213045362 1482610998 2223916497 2426090724 2965221996 4447832994 6671749491 8603636549 8895665988 13343498982 17207273098 25810909647 26686997964 34414546196 51621819294 77432728941 94640002039 103243638588 154865457882 189280004078 232298186823 283920006117 309730915764 378560008156 464596373646 567840012234 851760018351 929192747292 1135680024468 1703520036702 2555280055053 3407040073404 5110560110106 10221120220212