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10102001102020 = 2254773147216571
BaseRepresentation
bin1001001100000000111000…
…1011111110110011000100
31022202202000211022002222201
42103000032023332303010
52311002344240231040
633252443434404244
72061563001404422
oct223001613766304
938682024262881
1010102001102020
113245264299743
121171a03890684
135837cb409aa9
1426cd21c54112
15127b99baba9a
hex9300e2fecc4

10102001102020 has 48 divisors (see below), whose sum is σ = 21962357077248. Its totient is φ = 3900650238720.

The previous prime is 10102001102003. The next prime is 10102001102057. The reversal of 10102001102020 is 2020110020101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10102001101988 and 10102001102006.

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, 73539666 + ... + 73676905.

It is an arithmetic number, because the mean of its divisors is an integer number (457549105776).

Almost surely, 210102001102020 is an apocalyptic number.

10102001102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001102020 is an abundant number, since it is smaller than the sum of its proper divisors (11860355975228).

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

10102001102020 is a wasteful number, since it uses less digits than its factorization.

10102001102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147216700 (or 147216698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102001102020 its reverse (2020110020101), we get a palindrome (12122111122121).

The spelling of 10102001102020 in words is "ten trillion, one hundred two billion, one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 47 73 94 146 188 235 292 365 470 730 940 1460 3431 6862 13724 17155 34310 68620 147216571 294433142 588866284 736082855 1472165710 2944331420 6919178837 10746809683 13838357674 21493619366 27676715348 34595894185 42987238732 53734048415 69191788370 107468096830 138383576740 214936193660 505100055101 1010200110202 2020400220404 2525500275505 5051000551010 10102001102020