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31200313212 = 2234195985903
BaseRepresentation
bin11101000011101011…
…101111111101111100
32222112101220010120000
4131003223233331330
51002344240010322
622155550554300
72153113200165
oct350353577574
988471803500
1031200313212
1112260844122
126068b08990
132c32c68cc3
14171da1a76c
15c291c73ac
hex743aeff7c

31200313212 has 120 divisors (see below), whose sum is σ = 87312825600. Its totient is φ = 9685622304.

The previous prime is 31200313189. The next prime is 31200313219. The reversal of 31200313212 is 21231300213.

31200313212 is a `hidden beast` number, since 312 + 0 + 0 + 31 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200313219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320253 + ... + 406155.

It is an arithmetic number, because the mean of its divisors is an integer number (727606880).

Almost surely, 231200313212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43656412800).

31200313212 is an abundant number, since it is smaller than the sum of its proper divisors (56112512388).

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

31200313212 is a wasteful number, since it uses less digits than its factorization.

31200313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85997 (or 85986 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31200313212 its reverse (21231300213), we get a palindrome (52431613425).

The spelling of 31200313212 in words is "thirty-one billion, two hundred million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 81 108 114 118 162 171 177 228 236 324 342 354 513 531 684 708 1026 1062 1121 1539 1593 2052 2124 2242 3078 3186 3363 4484 4779 6156 6372 6726 9558 10089 13452 19116 20178 30267 40356 60534 85903 90801 121068 171806 181602 257709 343612 363204 515418 773127 1030836 1546254 1632157 2319381 3092508 3264314 4638762 4896471 5068277 6528628 6958143 9277524 9792942 10136554 13916286 14689413 15204831 19585884 20273108 27832572 29378826 30409662 44068239 45614493 58757652 60819324 88136478 91228986 96297263 132204717 136843479 176272956 182457972 192594526 264409434 273686958 288891789 385189052 410530437 528818868 547373916 577783578 821060874 866675367 1155567156 1642121748 1733350734 2600026101 3466701468 5200052202 7800078303 10400104404 15600156606 31200313212