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1021012220020 = 2251317322699249
BaseRepresentation
bin11101101101110010001…
…00100001100001110100
310121121102002121210120011
432312321010201201310
5113212013112020040
62101014015150004
7133523430450502
oct16667104414164
93547362553504
101021012220020
11364010864891
12145a66b15304
137538659b820
14375bad3b672
151b85b2c93ea
hexedb9121874

1021012220020 has 48 divisors (see below), whose sum is σ = 2322405666000. Its totient is φ = 374809982976.

The previous prime is 1021012220017. The next prime is 1021012220027. The reversal of 1021012220020 is 200222101201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26528591376 + 994483628644 = 162876^2 + 997238^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021012220027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11304645 + ... + 11394604.

It is an arithmetic number, because the mean of its divisors is an integer number (48383451375).

Almost surely, 21021012220020 is an apocalyptic number.

1021012220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021012220020 is an abundant number, since it is smaller than the sum of its proper divisors (1301393445980).

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

1021012220020 is a wasteful number, since it uses less digits than its factorization.

1021012220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22699444 (or 22699442 counting only the distinct ones).

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

Adding to 1021012220020 its reverse (200222101201), we get a palindrome (1221234321221).

The spelling of 1021012220020 in words is "one trillion, twenty-one billion, twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 8996 11245 22490 44980 22699249 45398498 90796996 113496245 226992490 295090237 453984980 590180474 1180360948 1475451185 2950902370 3926970077 5901804740 7853940154 15707880308 19634850385 39269700770 51050611001 78539401540 102101222002 204202444004 255253055005 510506110010 1021012220020