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203210100100 = 225272172439497
BaseRepresentation
bin1011110101000001000…
…1000000110110000100
3201102112001122122222201
42331100101000312010
511312133241200400
6233204201404244
720452510231300
oct2752021006604
9642461578881
10203210100100
11791a9892997
1233472799684
13162163b5ca7
149b9a578d00
1554451ba06a
hex2f50440d84

203210100100 has 108 divisors (see below), whose sum is σ = 543134713716. Its totient is φ = 65573652480.

The previous prime is 203210100059. The next prime is 203210100101. The reversal of 203210100100 is 1001012302.

It can be written as a sum of positive squares in 6 ways, for example, as 1803021444 + 201407078656 = 42462^2 + 448784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (203210100101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136449 + ... + 1303048.

It is an arithmetic number, because the mean of its divisors is an integer number (5029025127).

Almost surely, 2203210100100 is an apocalyptic number.

203210100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203210100100 is an abundant number, since it is smaller than the sum of its proper divisors (339924613616).

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

203210100100 is a wasteful number, since it uses less digits than its factorization.

203210100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439542 (or 2439528 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 203210100100 its reverse (1001012302), we get a palindrome (204211112402).

The spelling of 203210100100 in words is "two hundred three billion, two hundred ten million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 2380 2450 2975 3332 4165 4900 5950 8330 11900 16660 20825 41650 83300 2439497 4878994 9757988 12197485 17076479 24394970 34152958 41471449 48789940 60987425 68305916 82942898 85382395 119535353 121974850 165885796 170764790 207357245 239070706 243949700 290300143 341529580 414714490 426911975 478141412 580600286 597676765 829428980 853823950 1036786225 1161200572 1195353530 1451500715 1707647900 2032101001 2073572450 2390707060 2903001430 2988383825 4064202002 4147144900 5806002860 5976767650 7257503575 8128404004 10160505005 11953535300 14515007150 20321010010 29030014300 40642020020 50802525025 101605050050 203210100100