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1022201010020 = 225472140916421
BaseRepresentation
bin11101101111111111110…
…11011001011101100100
310121201110221112120212102
432313333323121131210
5113221431424310040
62101332003111232
7133565044136531
oct16677773313544
93551427476772
101022201010020
11364570904363
12146139072518
1375515969768
1437690b8dd88
151b8ca84d515
hexedffed9764

1022201010020 has 72 divisors (see below), whose sum is σ = 2194956965880. Its totient is φ = 399872450560.

The previous prime is 1022201010011. The next prime is 1022201010029. The reversal of 1022201010020 is 200101022201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022201010011) and next prime (1022201010029).

It can be written as a sum of positive squares in 4 ways, for example, as 125119253284 + 897081756736 = 353722^2 + 947144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022201009983 and 1022201010010.

It is not an unprimeable number, because it can be changed into a prime (1022201010029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62241410 + ... + 62257830.

It is an arithmetic number, because the mean of its divisors is an integer number (30485513415).

Almost surely, 21022201010020 is an apocalyptic number.

1022201010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022201010020 is an abundant number, since it is smaller than the sum of its proper divisors (1172755955860).

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

1022201010020 is a wasteful number, since it uses less digits than its factorization.

1022201010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17933 (or 17884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022201010020 its reverse (200101022201), we get a palindrome (1222302032221).

The spelling of 1022201010020 in words is "one trillion, twenty-two billion, two hundred one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 1409 2209 2818 4418 5636 7045 8836 11045 14090 16421 22090 28180 32842 44180 65684 66223 82105 132446 164210 264892 328420 331115 662230 771787 1324460 1543574 3087148 3112481 3858935 6224962 7717870 12449924 15435740 15562405 23137189 31124810 36273989 46274378 62249620 72547978 92548756 115685945 145095956 181369945 231371890 362739890 462743780 725479780 1087447883 2174895766 4349791532 5437239415 10874478830 21748957660 51110050501 102220101002 204440202004 255550252505 511100505010 1022201010020