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1022200000020 = 223352816736523
BaseRepresentation
bin11101101111111111101…
…11100010111000010100
310121201110212122021102000
432313333313202320110
5113221431200000040
62101331525315300
7133565032432113
oct16677767427024
93551425567360
101022200000020
11364570284551
12146138865b30
13755156a4b24
14376909a9c7a
151b8ca6ee130
hexedffde2e14

1022200000020 has 96 divisors (see below), whose sum is σ = 3191495610240. Its totient is φ = 271616567040.

The previous prime is 1022199999991. The next prime is 1022200000043. The reversal of 1022200000020 is 200000022201.

It is a super-3 number, since 3×10222000000203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022199999948 and 1022200000011.

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, 3216522 + ... + 3520001.

It is an arithmetic number, because the mean of its divisors is an integer number (33244745940).

Almost surely, 21022200000020 is an apocalyptic number.

1022200000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022200000020 is an abundant number, since it is smaller than the sum of its proper divisors (2169295610220).

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

1022200000020 is a wasteful number, since it uses less digits than its factorization.

1022200000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736822 (or 6736814 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1022200000020 its reverse (200000022201), we get a palindrome (1222200022221).

The spelling of 1022200000020 in words is "one trillion, twenty-two billion, two hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 281 540 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 7587 8430 10116 12645 15174 16860 25290 30348 37935 50580 75870 151740 6736523 13473046 20209569 26946092 33682615 40419138 60628707 67365230 80838276 101047845 121257414 134730460 181886121 202095690 242514828 303143535 363772242 404191380 606287070 727544484 909430605 1212574140 1818861210 1892962963 3637722420 3785925926 5678888889 7571851852 9464814815 11357777778 17036666667 18929629630 22715555556 28394444445 34073333334 37859259260 51110000001 56788888890 68146666668 85183333335 102220000002 113577777780 170366666670 204440000004 255550000005 340733333340 511100000010 1022200000020