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21001000100020 = 22517203363303731
BaseRepresentation
bin1001100011001101011010…
…01001101010000010110100
32202100200020210202021110021
410301212231021222002310
510223040022011200040
6112355420512134524
74265162234336263
oct461465511520264
982320223667407
1021001000100020
116767524074976
122432174537444
13b94502823125
1452864d43a5da
1526643e2ed24a
hex1319ad26a0b4

21001000100020 has 48 divisors (see below), whose sum is σ = 46696724762688. Its totient is φ = 7906193953280.

The previous prime is 21001000099949. The next prime is 21001000100057. The reversal of 21001000100020 is 2000100010012.

It is a junction number, because it is equal to n+sod(n) for n = 21001000099976 and 21001000100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68991555 + ... + 69295285.

It is an arithmetic number, because the mean of its divisors is an integer number (972848432556).

Almost surely, 221001000100020 is an apocalyptic number.

21001000100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001000100020 is an abundant number, since it is smaller than the sum of its proper divisors (25695724662668).

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

21001000100020 is a wasteful number, since it uses less digits than its factorization.

21001000100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507120 (or 507118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21001000100020 its reverse (2000100010012), we get a palindrome (23001100110032).

The spelling of 21001000100020 in words is "twenty-one trillion, one billion, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 203363 303731 406726 607462 813452 1016815 1214924 1518655 2033630 3037310 3457171 4067260 5163427 6074620 6914342 10326854 13828684 17285855 20653708 25817135 34571710 51634270 69143420 103268540 61767647353 123535294706 247070589412 308838236765 617676473530 1050050005001 1235352947060 2100100010002 4200200020004 5250250025005 10500500050010 21001000100020