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1020121202020 = 22519231031133191
BaseRepresentation
bin11101101100000111111…
…01100011110101100100
310121112010000000101122111
432312003331203311210
5113203202011431040
62100345345410404
7133462361101414
oct16660375436544
93545100011574
101020121202020
113636a3907878
12145858639a04
1375273acb53b
143753487c644
151b807e73dea
hexed83f63d64

1020121202020 has 96 divisors (see below), whose sum is σ = 2375895674880. Its totient is φ = 366174483840.

The previous prime is 1020121201991. The next prime is 1020121202047. The reversal of 1020121202020 is 202021210201.

It is a happy number.

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, 333625 + ... + 1466815.

It is an arithmetic number, because the mean of its divisors is an integer number (24748913280).

Almost surely, 21020121202020 is an apocalyptic number.

1020121202020 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 1020121202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187947837440).

1020121202020 is an abundant number, since it is smaller than the sum of its proper divisors (1355774472860).

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

1020121202020 is a wasteful number, since it uses less digits than its factorization.

1020121202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133345 (or 1133343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020121202020 its reverse (202021210201), we get a palindrome (1222142412221).

The spelling of 1020121202020 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 103 115 190 206 230 380 412 437 460 515 874 1030 1748 1957 2060 2185 2369 3914 4370 4738 7828 8740 9476 9785 11845 19570 23690 39140 45011 47380 90022 180044 225055 450110 900220 1133191 2266382 4532764 5665955 11331910 21530629 22663820 26063393 43061258 52126786 86122516 104253572 107653145 116718673 130316965 215306290 233437346 260633930 430612580 466874692 495204467 521267860 583593365 990408934 1167186730 1980817868 2217654787 2334373460 2476022335 2684529479 4435309574 4952044670 5369058958 8870619148 9904089340 10738117916 11088273935 13422647395 22176547870 26845294790 44353095740 51006060101 53690589580 102012120202 204024240404 255030300505 510060601010 1020121202020