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20312232200 = 23521329269393
BaseRepresentation
bin10010111010101101…
…000001000100001000
31221102121001022022022
4102322231001010020
5313044412412300
613155321344012
71316233060601
oct227255010410
957377038268
1020312232200
1186837a8767
123b2a638008
131bb9299310
14da9960da8
157dd394285
hex4bab41108

20312232200 has 96 divisors (see below), whose sum is σ = 52612648200. Its totient is φ = 7241256960.

The previous prime is 20312232197. The next prime is 20312232203. The reversal of 20312232200 is 223221302.

It is an interprime number because it is at equal distance from previous prime (20312232197) and next prime (20312232203).

It can be written as a sum of positive squares in 12 ways, for example, as 892694884 + 19419537316 = 29878^2 + 139354^2 .

It is not an unprimeable number, because it can be changed into a prime (20312232203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59297 + ... + 210096.

Almost surely, 220312232200 is an apocalyptic number.

20312232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312232200 is an abundant number, since it is smaller than the sum of its proper divisors (32300416000).

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

20312232200 is a wasteful number, since it uses less digits than its factorization.

20312232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269451 (or 269442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20312232200 its reverse (223221302), we get a palindrome (20535453502).

The spelling of 20312232200 in words is "twenty billion, three hundred twelve million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 37700 75400 269393 538786 1077572 1346965 2155144 2693930 3502109 5387860 6734825 7004218 7812397 10775720 13469650 14008436 15624794 17510545 26939300 28016872 31249588 35021090 39061985 53878600 62499176 70042180 78123970 87552725 101561161 140084360 156247940 175105450 195309925 203122322 312495880 350210900 390619850 406244644 507805805 700421800 781239700 812489288 1015611610 1562479400 2031223220 2539029025 4062446440 5078058050 10156116100 20312232200