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1012232200 = 235272103289
BaseRepresentation
bin111100010101010…
…111000000001000
32121112200201112111
4330111113000020
54033112412300
6244235352104
734040555200
oct7425270010
92545621474
101012232200
1147a419041
12242bb2634
13131930a85
1498613400
155dcea9ba
hex3c557008

1012232200 has 72 divisors (see below), whose sum is σ = 2737701450. Its totient is φ = 347047680.

The previous prime is 1012232171. The next prime is 1012232203. The reversal of 1012232200 is 22322101.

It can be written as a sum of positive squares in 3 ways, for example, as 445125604 + 567106596 = 21098^2 + 23814^2 .

It is a super-3 number, since 3×10122322003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1012232203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41845 + ... + 61444.

Almost surely, 21012232200 is an apocalyptic number.

1012232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012232200 is an abundant number, since it is smaller than the sum of its proper divisors (1725469250).

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

1012232200 is a wasteful number, since it uses less digits than its factorization.

1012232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103319 (or 103303 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1012232200 is about 31815.5968040834. The cubic root of 1012232200 is about 1004.0608868754.

Adding to 1012232200 its reverse (22322101), we get a palindrome (1034554301).

The spelling of 1012232200 in words is "one billion, twelve million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 103289 206578 413156 516445 723023 826312 1032890 1446046 2065780 2582225 2892092 3615115 4131560 5061161 5164450 5784184 7230230 10122322 10328900 14460460 18075575 20244644 20657800 25305805 28920920 36151150 40489288 50611610 72302300 101223220 126529025 144604600 202446440 253058050 506116100 1012232200