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10222044413020 = 22511476714755109
BaseRepresentation
bin1001010011000000000101…
…0100110111110001011100
31100012012212211222011000021
42110300001110313301130
52314434221332204040
633423535315241524
72103342534615106
oct224600124676134
940165784864007
1010222044413020
113291165645a80
121191125ba92a4
13591c1c579a6b
14274a6cc32576
1512ad7386a24a
hex94c01537c5c

10222044413020 has 96 divisors (see below), whose sum is σ = 24272982236160. Its totient is φ = 3583720631040.

The previous prime is 10222044412967. The next prime is 10222044413027. The reversal of 10222044413020 is 2031444022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222044413027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6684775 + ... + 8070334.

It is an arithmetic number, because the mean of its divisors is an integer number (252843564960).

Almost surely, 210222044413020 is an apocalyptic number.

10222044413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222044413020 is an abundant number, since it is smaller than the sum of its proper divisors (14050937823140).

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

10222044413020 is a wasteful number, since it uses less digits than its factorization.

10222044413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755243 (or 14755241 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10222044413020 its reverse (2031444022201), we get a palindrome (12253488435221).

The spelling of 10222044413020 in words is "ten trillion, two hundred twenty-two billion, forty-four million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 67 94 110 134 188 220 235 268 335 470 517 670 737 940 1034 1340 1474 2068 2585 2948 3149 3685 5170 6298 7370 10340 12596 14740 15745 31490 34639 62980 69278 138556 173195 346390 692780 14755109 29510218 59020436 73775545 147551090 162306199 295102180 324612398 649224796 693490123 811530995 988592303 1386980246 1623061990 1977184606 2773960492 3246123980 3467450615 3954369212 4942961515 6934901230 7628391353 9885923030 10874515333 13869802460 15256782706 19771846060 21749030666 30513565412 38141956765 43498061332 46463838241 54372576665 76283913530 92927676482 108745153330 152567827060 185855352964 217490306660 232319191205 464638382410 511102220651 929276764820 1022204441302 2044408882604 2555511103255 5111022206510 10222044413020