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1022020210020 = 2235132128614507
BaseRepresentation
bin11101101111101010010…
…01101100110101100100
310121201000100022222220010
432313311021230311210
5113221044133210040
62101302024010220
7133560420310035
oct16676511546544
93551010288803
101022020210020
11364488845677
121460a8600970
13754b7375704
1437674b68a8c
151b8b9a37e80
hexedf526cd64

1022020210020 has 96 divisors (see below), whose sum is σ = 2865459494016. Its totient is φ = 272176819200.

The previous prime is 1022020209983. The next prime is 1022020210031. The reversal of 1022020210020 is 200120202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022020209978 and 1022020210005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226760607 + ... + 226765113.

It is an arithmetic number, because the mean of its divisors is an integer number (29848536396).

Almost surely, 21022020210020 is an apocalyptic number.

1022020210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020210020 is an abundant number, since it is smaller than the sum of its proper divisors (1843439283996).

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

1022020210020 is a wasteful number, since it uses less digits than its factorization.

1022020210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022020210020 its reverse (200120202201), we get a palindrome (1222140412221).

The spelling of 1022020210020 in words is "one trillion, twenty-two billion, twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1321 2642 2861 3963 4507 5284 5722 6605 7926 8583 9014 11444 13210 13521 14305 15852 17166 18028 19815 22535 26420 27042 28610 34332 39630 42915 45070 54084 57220 67605 79260 85830 90140 135210 171660 270420 3779381 5953747 7558762 11338143 11907494 12894527 15117524 17861241 18896905 22676286 23814988 25789054 29768735 35722482 37793810 38683581 45352572 51578108 56690715 59537470 64472635 71444964 75587620 77367162 89306205 113381430 119074940 128945270 154734324 178612410 193417905 226762860 257890540 357224820 386835810 773671620 17033670167 34067340334 51101010501 68134680668 85168350835 102202021002 170336701670 204404042004 255505052505 340673403340 511010105010 1022020210020