Search a number
-
+
10102020120020 = 2252918251954319
BaseRepresentation
bin1001001100000000111101…
…0100100001110111010100
31022202202002011002022210002
42103000033110201313110
52311002414122320040
633252445354150432
72061563322143453
oct223001724416724
938682064068702
1010102020120020
113245273aa91a4
121171a0a122418
1358380233824a
1426cd245a4b9a
15127b9b6b6a15
hex9300f521dd4

10102020120020 has 48 divisors (see below), whose sum is σ = 21946993286400. Its totient is φ = 3901251984000.

The previous prime is 10102020119957. The next prime is 10102020120097. The reversal of 10102020120020 is 2002102020101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10102020119983 and 10102020120010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10108421 + ... + 11062739.

It is an arithmetic number, because the mean of its divisors is an integer number (457229026800).

Almost surely, 210102020120020 is an apocalyptic number.

10102020120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102020120020 is an abundant number, since it is smaller than the sum of its proper divisors (11844973166380).

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

10102020120020 is a wasteful number, since it uses less digits than its factorization.

10102020120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972608 (or 972606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10102020120020 its reverse (2002102020101), we get a palindrome (12104122140121).

The spelling of 10102020120020 in words is "ten trillion, one hundred two billion, twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 18251 36502 73004 91255 182510 365020 529279 954319 1058558 1908638 2117116 2646395 3817276 4771595 5292790 9543190 10585580 19086380 27675251 55350502 110701004 138376255 276752510 553505020 17417276069 34834552138 69669104276 87086380345 174172760690 348345521380 505101006001 1010202012002 2020404024004 2525505030005 5051010060010 10102020120020