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10020322000 = 245313385397
BaseRepresentation
bin10010101010100000…
…11111101011010000
3221212100000002200001
421111100133223100
5131010200301000
64334150135344
7503212221523
oct112520375320
927770002601
1010020322000
114282235257
121b37951554
13c38c84320
146b0b32bba
153d9a7446a
hex25541fad0

10020322000 has 80 divisors (see below), whose sum is σ = 26092986192. Its totient is φ = 3699801600.

The previous prime is 10020321929. The next prime is 10020322003. The reversal of 10020322000 is 22302001.

It can be written as a sum of positive squares in 8 ways, for example, as 6020518464 + 3999803536 = 77592^2 + 63244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020322003) 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, 166699 + ... + 218698.

Almost surely, 210020322000 is an apocalyptic number.

10020322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020322000 is an abundant number, since it is smaller than the sum of its proper divisors (16072664192).

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

10020322000 is a wasteful number, since it uses less digits than its factorization.

10020322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385433 (or 385417 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10020322000 its reverse (22302001), we get a palindrome (10042624001).

The spelling of 10020322000 in words is "ten billion, twenty million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 385397 770794 1541588 1926985 3083176 3853970 5010161 6166352 7707940 9634925 10020322 15415880 19269850 20040644 25050805 30831760 38539700 40081288 48174625 50101610 77079400 80162576 96349250 100203220 125254025 154158800 192698500 200406440 250508050 385397000 400812880 501016100 626270125 770794000 1002032200 1252540250 2004064400 2505080500 5010161000 10020322000