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1010101012020 = 2232529479403979
BaseRepresentation
bin11101011001011101011…
…01100100011000110100
310120120020200021000001100
432230232231210120310
5113022141324341040
62052011202130100
7132656146636452
oct16545655443064
93516220230040
101010101012020
1135a421762811
12143920950930
1374337b92329
1436c63b819d2
151b41d428b30
hexeb2eb64634

1010101012020 has 144 divisors (see below), whose sum is σ = 3176252352000. Its totient is φ = 259528394496.

The previous prime is 1010101012001. The next prime is 1010101012057. The reversal of 1010101012020 is 202101010101.

It is a happy number.

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 = 1010101011993 and 1010101012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2298391 + ... + 2702369.

It is an arithmetic number, because the mean of its divisors is an integer number (22057308000).

Almost surely, 21010101012020 is an apocalyptic number.

1010101012020 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 1010101012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588126176000).

1010101012020 is an abundant number, since it is smaller than the sum of its proper divisors (2166151339980).

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

1010101012020 is a wasteful number, since it uses less digits than its factorization.

1010101012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404502 (or 404497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010101012020 its reverse (202101010101), we get a palindrome (1212202022121).

The spelling of 1010101012020 in words is "one trillion, ten billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 479 522 580 870 958 1044 1305 1437 1740 1916 2395 2610 2874 4311 4790 5220 5748 7185 8622 9580 13891 14370 17244 21555 27782 28740 41673 43110 55564 69455 83346 86220 125019 138910 166692 208365 250038 277820 403979 416730 500076 625095 807958 833460 1211937 1250190 1615916 2019895 2423874 2500380 3635811 4039790 4847748 6059685 7271622 8079580 11715391 12119370 14543244 18179055 23430782 24238740 35146173 36358110 46861564 58576955 70292346 72716220 105438519 117153910 140584692 175730865 193505941 210877038 234307820 351461730 387011882 421754076 527192595 580517823 702923460 774023764 967529705 1054385190 1161035646 1741553469 1935059410 2108770380 2322071292 2902589115 3483106938 3870118820 5611672289 5805178230 6966213876 8707767345 11223344578 11610356460 16835016867 17415534690 22446689156 28058361445 33670033734 34831069380 50505050601 56116722890 67340067468 84175084335 101010101202 112233445780 168350168670 202020202404 252525253005 336700337340 505050506010 1010101012020