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10221102212020 = 22571571632852873
BaseRepresentation
bin1001010010111100100100…
…1010101010001110110100
31100012010110012001101012221
42110233021022222032310
52314430304131241040
633423302020452124
72103310304213320
oct224571112521664
940163405041187
1010221102212020
11329082180a467
121190b0254a044
13591acc2c8a8b
142749bda4c980
1512ad1aca474a
hex94bc92aa3b4

10221102212020 has 96 divisors (see below), whose sum is σ = 24838353485568. Its totient is φ = 3460693496832.

The previous prime is 10221102212017. The next prime is 10221102212033. The reversal of 10221102212020 is 2021220112201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221102211985 and 10221102212003.

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, 2156304 + ... + 5009176.

It is an arithmetic number, because the mean of its divisors is an integer number (258732848808).

Almost surely, 210221102212020 is an apocalyptic number.

10221102212020 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 10221102212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419176742784).

10221102212020 is an abundant number, since it is smaller than the sum of its proper divisors (14617251273548).

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

10221102212020 is a wasteful number, since it uses less digits than its factorization.

10221102212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853209 (or 2853207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221102212020 its reverse (2021220112201), we get a palindrome (12242322324221).

The spelling of 10221102212020 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 163 314 326 628 652 785 815 1099 1141 1570 1630 2198 2282 3140 3260 4396 4564 5495 5705 10990 11410 21980 22820 25591 51182 102364 127955 179137 255910 358274 511820 716548 895685 1791370 2852873 3582740 5705746 11411492 14264365 19970111 28528730 39940222 57057460 79880444 99850555 199701110 399402220 447901061 465018299 895802122 930036598 1791604244 1860073196 2239505305 2325091495 3135307427 3255128093 4479010610 4650182990 6270614854 6510256186 8958021220 9300365980 12541229708 13020512372 15676537135 16275640465 31353074270 32551280930 62706148540 65102561860 73007872943 146015745886 292031491772 365039364715 511055110601 730078729430 1022110221202 1460157458860 2044220442404 2555275553005 5110551106010 10221102212020