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312200023020 = 223537487128871
BaseRepresentation
bin1001000101100001001…
…00100100101111101100
31002211211202102102002120
410202300210210233230
520103341201214040
6355231145552540
731361415260514
oct4426044445754
91084752372076
10312200023020
11110448857156
125060b1a5750
1323595558042
141117954a844
1581c37907d0
hex48b0924bec

312200023020 has 96 divisors (see below), whose sum is σ = 898001427456. Its totient is φ = 80983814400.

The previous prime is 312200022949. The next prime is 312200023039. The reversal of 312200023020 is 20320002213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10799185 + ... + 10828055.

It is an arithmetic number, because the mean of its divisors is an integer number (9354181536).

Almost surely, 2312200023020 is an apocalyptic number.

312200023020 is a gapful number since it is divisible by the number (30) 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 312200023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449000713728).

312200023020 is an abundant number, since it is smaller than the sum of its proper divisors (585801404436).

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

312200023020 is a wasteful number, since it uses less digits than its factorization.

312200023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33791 (or 33789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 312200023020 its reverse (20320002213), we get a palindrome (332520025233).

The spelling of 312200023020 in words is "three hundred twelve billion, two hundred million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4871 9742 14613 19484 24355 28871 29226 48710 57742 58452 73065 86613 97420 115484 144355 146130 173226 180227 288710 292260 346452 360454 433065 540681 577420 720908 866130 901135 1068227 1081362 1732260 1802270 2136454 2162724 2703405 3204681 3604540 4272908 5341135 5406810 6409362 10682270 10813620 12818724 16023405 21364540 32046810 64093620 140630641 281261282 421891923 562522564 703153205 843783846 1406306410 1687567692 2109459615 2812612820 4218919230 5203333717 8437838460 10406667434 15610001151 20813334868 26016668585 31220002302 52033337170 62440004604 78050005755 104066674340 156100011510 312200023020