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1010100220020 = 223352417761643
BaseRepresentation
bin11101011001011101010…
…10100011000001110100
310120120020121202202122000
432230232222203001310
5113022141124020040
62052011133135300
7132656140130433
oct16545652430164
93516217682560
101010100220020
1135a421271771
1214392062a530
13743379759a8
1436c63a1711a
151b41d31e130
hexeb2eaa3074

1010100220020 has 96 divisors (see below), whose sum is σ = 3155573984640. Its totient is φ = 268242347520.

The previous prime is 1010100220007. The next prime is 1010100220043. The reversal of 1010100220020 is 200220010101.

1010100220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1010100219984 and 1010100220011.

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, 3750682 + ... + 4010961.

It is an arithmetic number, because the mean of its divisors is an integer number (32870562340).

Almost surely, 21010100220020 is an apocalyptic number.

1010100220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010100220020 is an abundant number, since it is smaller than the sum of its proper divisors (2145473764620).

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

1010100220020 is a wasteful number, since it uses less digits than its factorization.

1010100220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761902 (or 7761894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010100220020 its reverse (200220010101), we get a palindrome (1210320230121).

The spelling of 1010100220020 in words is "one trillion, ten billion, one hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 482 540 723 964 1205 1446 2169 2410 2892 3615 4338 4820 6507 7230 8676 10845 13014 14460 21690 26028 32535 43380 65070 130140 7761643 15523286 23284929 31046572 38808215 46569858 69854787 77616430 93139716 116424645 139709574 155232860 209564361 232849290 279419148 349273935 419128722 465698580 698547870 838257444 1047821805 1397095740 1870555963 2095643610 3741111926 4191287220 5611667889 7482223852 9352779815 11223335778 16835003667 18705559630 22446671556 28058339445 33670007334 37411119260 50505011001 56116678890 67340014668 84175018335 101010022002 112233357780 168350036670 202020044004 252525055005 336700073340 505050110010 1010100220020