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10222012101020 = 22523127199879269
BaseRepresentation
bin1001010010111111111101…
…1001100111000110011100
31100012012210121011112021112
42110233333121213012130
52314434140044213040
633423532202521152
72103341663150036
oct224577731470634
940165717145245
1010222012101020
113291149386545
1211911172061b8
13591c15975635
14274a68820c56
1512ad70ad6365
hex94bff66719c

10222012101020 has 96 divisors (see below), whose sum is σ = 22689386496000. Its totient is φ = 3860732139264.

The previous prime is 10222012100999. The next prime is 10222012101029. The reversal of 10222012101020 is 2010121022201.

It is a junction number, because it is equal to n+sod(n) for n = 10222012100986 and 10222012101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222012101029) 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, 11185946 + ... + 12065214.

It is an arithmetic number, because the mean of its divisors is an integer number (236347776000).

Almost surely, 210222012101020 is an apocalyptic number.

10222012101020 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 10222012101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344693248000).

10222012101020 is an abundant number, since it is smaller than the sum of its proper divisors (12467374394980).

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

10222012101020 is a wasteful number, since it uses less digits than its factorization.

10222012101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879627 (or 879625 counting only the distinct ones).

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

Adding to 10222012101020 its reverse (2010121022201), we get a palindrome (12232133123221).

The spelling of 10222012101020 in words is "ten trillion, two hundred twenty-two billion, twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 199 230 254 398 460 508 635 796 995 1270 1990 2540 2921 3980 4577 5842 9154 11684 14605 18308 22885 25273 29210 45770 50546 58420 91540 101092 126365 252730 505460 581279 879269 1162558 1758538 2325116 2906395 3517076 4396345 5812790 8792690 11625580 17585380 20223187 40446374 80892748 101115935 111667163 174974531 202231870 223334326 349949062 404463740 446668652 558335815 699898124 874872655 1116671630 1749745310 2233343260 2568344749 3499490620 4024414213 5136689498 8048828426 10273378996 12841723745 16097656852 20122071065 22221765437 25683447490 40244142130 44443530874 51366894980 80488284260 88887061748 111108827185 222217654370 444435308740 511100605051 1022201210102 2044402420204 2555503025255 5111006050510 10222012101020