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1000020100020 = 223583200807249
BaseRepresentation
bin11101000110101011101…
…01111100001110110100
310112121020010020121112020
432203111311330032310
5112341020121200040
62043223005153140
7132151300412454
oct16432565741664
93477203217466
101000020100020
11356119304387
1214198885b7b0
13733bc4b5646
1436588d99d64
151b02d3d6cd0
hexe8d5d7c3b4

1000020100020 has 48 divisors (see below), whose sum is σ = 2833791912000. Its totient is φ = 263459109376.

The previous prime is 1000020099901. The next prime is 1000020100043. The reversal of 1000020100020 is 200010200001.

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 = 1000020099981 and 1000020100008.

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, 100398645 + ... + 100408604.

It is an arithmetic number, because the mean of its divisors is an integer number (59037331500).

Almost surely, 21000020100020 is an apocalyptic number.

1000020100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000020100020 is an abundant number, since it is smaller than the sum of its proper divisors (1833771811980).

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

1000020100020 is a wasteful number, since it uses less digits than its factorization.

1000020100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200807344 (or 200807342 counting only the distinct ones).

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

Adding to 1000020100020 its reverse (200010200001), we get a palindrome (1200030300021).

The spelling of 1000020100020 in words is "one trillion, twenty million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 200807249 401614498 602421747 803228996 1004036245 1204843494 2008072490 2409686988 3012108735 4016144980 6024217470 12048434940 16667001667 33334003334 50001005001 66668006668 83335008335 100002010002 166670016670 200004020004 250005025005 333340033340 500010050010 1000020100020