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100002011020020 = 223251935132870953
BaseRepresentation
bin10110101111001110001000…
…010101111111101011110100
3111010002002200002101221010200
4112233032020111333223310
5101101413104310120040
6552404142321520500
730030623025422334
oct2657161025775364
9433062602357120
10100002011020020
11299556841a029a
12b2710871a3130
1343a51c297b215
141a9a1a1d390c4
15b8643610c630
hex5af38857faf4

100002011020020 has 72 divisors (see below), whose sum is σ = 303341106626376. Its totient is φ = 26667055844352.

The previous prime is 100002011019997. The next prime is 100002011020027. The reversal of 100002011020020 is 20020110200001.

It can be written as a sum of positive squares in 4 ways, for example, as 54501778731024 + 45500232288996 = 7382532^2 + 6745386^2 .

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 = 100002011019984 and 100002011020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002011020027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33396864 + ... + 36267816.

Almost surely, 2100002011020020 is an apocalyptic number.

100002011020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002011020020 is an abundant number, since it is smaller than the sum of its proper divisors (203339095606356).

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

100002011020020 is a wasteful number, since it uses less digits than its factorization.

100002011020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064481 (or 3064476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002011020020 its reverse (20020110200001), we get a palindrome (120022121220021).

The spelling of 100002011020020 in words is "one hundred trillion, two billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193513 387026 580539 774052 967565 1161078 1741617 1935130 2322156 2870953 2902695 3483234 3870260 5741906 5805390 6966468 8612859 8708085 11483812 11610780 14354765 17225718 17416170 25838577 28709530 34451436 34832340 43064295 51677154 57419060 86128590 103354308 129192885 172257180 258385770 516771540 555566727889 1111133455778 1666700183667 2222266911556 2777833639445 3333400367334 5000100551001 5555667278890 6666800734668 8333500918335 10000201102002 11111334557780 16667001836670 20000402204004 25000502755005 33334003673340 50001005510010 100002011020020