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100010210102020 = 22510173771671131
BaseRepresentation
bin10110101111010101110001…
…000011000000101100000100
3111010002212211111102110012101
4112233111301003000230010
5101102031402241231040
6552412020052401444
730031333144444441
oct2657256103005404
9433085744373171
10100010210102020
1129959101383a19
12b272795016284
1343a5bcb51682a
141a9a73cc269c8
15b86765d3009a
hex5af5710c0b04

100010210102020 has 48 divisors (see below), whose sum is σ = 212104052588736. Its totient is φ = 39607408080000.

The previous prime is 100010210101993. The next prime is 100010210102027. The reversal of 100010210102020 is 20201012010001.

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 = 100010210101988 and 100010210102006.

It is not an unprimeable number, because it can be changed into a prime (100010210102027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148681855 + ... + 149352985.

It is an arithmetic number, because the mean of its divisors is an integer number (4418834428932).

Almost surely, 2100010210102020 is an apocalyptic number.

100010210102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010210102020 is an abundant number, since it is smaller than the sum of its proper divisors (112093842486716).

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

100010210102020 is a wasteful number, since it uses less digits than its factorization.

100010210102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745012 (or 745010 counting only the distinct ones).

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

Adding to 100010210102020 its reverse (20201012010001), we get a palindrome (120211222112021).

The spelling of 100010210102020 in words is "one hundred trillion, ten billion, two hundred ten million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 73771 147542 295084 368855 671131 737710 1342262 1475420 2684524 3355655 6711310 7450871 13422620 14901742 29803484 37254355 67784231 74508710 135568462 149017420 271136924 338921155 677842310 1355684620 49510005001 99020010002 198040020004 247550025005 495100050010 990200100020 5000510505101 10001021010202 20002042020404 25002552525505 50005105051010 100010210102020