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1010021100020 = 225971972642789
BaseRepresentation
bin11101011001010011111…
…00101110100111110100
310120120001002220001101122
432230221330232213310
5113022010400200040
62051555225243112
7132654156461042
oct16545174564764
93516032801348
101010021100020
1135a390641739
121438ba033498
137432446301a
1436c572dd392
151b4163e11b5
hexeb29f2e9f4

1010021100020 has 48 divisors (see below), whose sum is σ = 2153789280720. Its totient is φ = 397813592064.

The previous prime is 1010021100019. The next prime is 1010021100043. The reversal of 1010021100020 is 200011200101.

It can be written as a sum of positive squares in 8 ways, for example, as 144577894756 + 865443205264 = 380234^2 + 930292^2 .

It is a super-2 number, since 2×10100211000202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010021099980 and 1010021100007.

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, 939215 + ... + 1703574.

It is an arithmetic number, because the mean of its divisors is an integer number (44870610015).

Almost surely, 21010021100020 is an apocalyptic number.

1010021100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010021100020 is an abundant number, since it is smaller than the sum of its proper divisors (1143768180700).

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

1010021100020 is a wasteful number, since it uses less digits than its factorization.

1010021100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643092 (or 2643090 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010021100020 its reverse (200011200101), we get a palindrome (1210032300121).

The spelling of 1010021100020 in words is "one trillion, ten billion, twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 197 388 394 485 788 970 985 1940 1970 3940 19109 38218 76436 95545 191090 382180 2642789 5285578 10571156 13213945 26427890 52855780 256350533 512701066 520629433 1025402132 1041258866 1281752665 2082517732 2563505330 2603147165 5127010660 5206294330 10412588660 50501055001 101002110002 202004220004 252505275005 505010550010 1010021100020