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1000100020020 = 223591621181927
BaseRepresentation
bin11101000110110101001…
…10110011111100110100
310112121102200121222011020
432203122212303330310
5112341201101120040
62043234542141140
7132153260623413
oct16433246637464
93477380558136
101000100020020
1135615a430472
121419ab5817b0
1373402c1849a
143659584147a
151b035421cd0
hexe8da9b3f34

1000100020020 has 48 divisors (see below), whose sum is σ = 2800326012288. Its totient is φ = 266688961920.

The previous prime is 1000100020009. The next prime is 1000100020067. The reversal of 1000100020020 is 200200010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1000100019990 and 1000100020008.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 5406297 + ... + 5588223.

It is an arithmetic number, because the mean of its divisors is an integer number (58340125256).

Almost surely, 21000100020020 is an apocalyptic number.

1000100020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100020020 is an abundant number, since it is smaller than the sum of its proper divisors (1800225992268).

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

1000100020020 is a wasteful number, since it uses less digits than its factorization.

1000100020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273560 (or 273558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1000100020020 its reverse (200200010001), we get a palindrome (1200300030021).

The spelling of 1000100020020 in words is "one trillion, one hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 91621 181927 183242 274863 363854 366484 458105 545781 549726 727708 909635 916210 1091562 1099452 1374315 1819270 1832420 2183124 2728905 2748630 3638540 5457810 5497260 10915620 16668333667 33336667334 50005001001 66673334668 83341668335 100010002002 166683336670 200020004004 250025005005 333366673340 500050010010 1000100020020