Search a number
-
+
10020101021020 = 2254339511294887
BaseRepresentation
bin1001000111001111110010…
…0011111101110101011100
31022110220122001211220212101
42101303330203331311130
52303132131330133040
633151100523414444
72052633305245156
oct221637443756534
938426561756771
1010020101021020
113213556891692
121159b67684424
13578b787435bc
14268d929cdad6
151259a49b609a
hex91cfc8fdd5c

10020101021020 has 48 divisors (see below), whose sum is σ = 21532183884288. Its totient is φ = 3914717808960.

The previous prime is 10020101021003. The next prime is 10020101021093. The reversal of 10020101021020 is 2012010102001.

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 = 10020101020988 and 10020101021006.

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, 33832017 + ... + 34126903.

It is an arithmetic number, because the mean of its divisors is an integer number (448587164256).

Almost surely, 210020101021020 is an apocalyptic number.

10020101021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020101021020 is an abundant number, since it is smaller than the sum of its proper divisors (11512082863268).

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

10020101021020 is a wasteful number, since it uses less digits than its factorization.

10020101021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334450 (or 334448 counting only the distinct ones).

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

Adding to 10020101021020 its reverse (2012010102001), we get a palindrome (12032111123021).

The spelling of 10020101021020 in words is "ten trillion, twenty billion, one hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 39511 79022 158044 197555 294887 395110 589774 790220 1179548 1474435 1698973 2948870 3397946 5897740 6795892 8494865 12680141 16989730 25360282 33979460 50720564 63400705 126801410 253602820 11651280257 23302560514 46605121028 58256401285 116512802570 233025605140 501005051051 1002010102102 2004020204204 2505025255255 5010050510510 10020101021020