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203122302100 = 225218313110917
BaseRepresentation
bin1011110100101100001…
…0000101110010010100
3201102021221110001202221
42331023002011302110
511311443302131400
6233151343512124
720450363036404
oct2751302056224
9642257401687
10203122302100
1179164275a63
12334492b8644
1316201155403
149b8ca42804
15543c625c1a
hex2f4b085c94

203122302100 has 36 divisors (see below), whose sum is σ = 440803438684. Its totient is φ = 81243751680.

The previous prime is 203122302083. The next prime is 203122302107. The reversal of 203122302100 is 1203221302.

It can be written as a sum of positive squares in 6 ways, for example, as 9914583184 + 193207718916 = 99572^2 + 439554^2 .

It is a super-2 number, since 2×2031223021002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203122302107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775842 + ... + 1886758.

Almost surely, 2203122302100 is an apocalyptic number.

203122302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203122302100 is an abundant number, since it is smaller than the sum of its proper divisors (237681136584).

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

203122302100 is a wasteful number, since it uses less digits than its factorization.

203122302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129244 (or 129237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 203122302100 its reverse (1203221302), we get a palindrome (204325523402).

The spelling of 203122302100 in words is "two hundred three billion, one hundred twenty-two million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 18313 36626 73252 91565 110917 183130 221834 366260 443668 457825 554585 915650 1109170 1831300 2218340 2772925 5545850 11091700 2031223021 4062446042 8124892084 10156115105 20312230210 40624460420 50780575525 101561151050 203122302100