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103022020000 = 255410151001
BaseRepresentation
bin101111111110010010…
…1110100010110100000
3100211220210002212100101
41133330211310112200
53141442114120000
6115154435232144
710304660502304
oct1377445642640
9324823085311
10103022020000
113a767276499
1217b71a48654
13993a933963
144db4559d04
152a2e6cce6a
hex17fc9745a0

103022020000 has 120 divisors (see below), whose sum is σ = 255964043412. Its totient is φ = 40800000000.

The previous prime is 103022019959. The next prime is 103022020051. The reversal of 103022020000 is 20220301.

It can be written as a sum of positive squares in 10 ways, for example, as 3092694544 + 99929325456 = 55612^2 + 316116^2 .

It is a super-2 number, since 2×1030220200002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1994500 + ... + 2045500.

Almost surely, 2103022020000 is an apocalyptic number.

103022020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127982021706).

103022020000 is an abundant number, since it is smaller than the sum of its proper divisors (152942023412).

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

103022020000 is an equidigital number, since it uses as much as digits as its factorization.

103022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51132 (or 51109 counting only the distinct ones).

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

Adding to 103022020000 its reverse (20220301), we get a palindrome (103042240301).

It can be divided in two parts, 10302 and 2020000, that added together give a palindrome (2030302).

The spelling of 103022020000 in words is "one hundred three billion, twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 12625 16160 20000 20200 25250 40400 50500 51001 63125 80800 101000 102002 126250 202000 204004 252500 255005 404000 408008 505000 510010 816016 1010000 1020020 1275025 1632032 2020000 2040040 2550050 4080080 5100100 5151101 6375125 8160160 10200200 10302202 12750250 20400400 20604404 25500500 25755505 31875625 40800800 41208808 51001000 51511010 63751250 82417616 102002000 103022020 127502500 128777525 164835232 204004000 206044040 255005000 257555050 412088080 510010000 515110100 643887625 824176160 1020020000 1030220200 1287775250 2060440400 2575550500 3219438125 4120880800 5151101000 6438876250 10302202000 12877752500 20604404000 25755505000 51511010000 103022020000