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2031213000 = 233533121841
BaseRepresentation
bin111100100010001…
…1101100111001000
312020120002022102010
41321010131213020
513124442304000
6533315535520
7101223011535
oct17104354710
95216068363
102031213000
11952626433
124882ba5a0
13264a854ab
14153aa1d8c
15bd4cad50
hex7911d9c8

2031213000 has 128 divisors (see below), whose sum is σ = 6542115840. Its totient is φ = 524160000.

The previous prime is 2031212999. The next prime is 2031213017. The reversal of 2031213000 is 3121302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82080 + ... + 103920.

It is an arithmetic number, because the mean of its divisors is an integer number (51110280).

Almost surely, 22031213000 is an apocalyptic number.

2031213000 is a gapful number since it is divisible by the number (20) 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 2031213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271057920).

2031213000 is an abundant number, since it is smaller than the sum of its proper divisors (4510902840).

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

2031213000 is a wasteful number, since it uses less digits than its factorization.

2031213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21896 (or 21882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2031213000 is about 45068.9804632854. The cubic root of 2031213000 is about 1266.4415651084.

Adding to 2031213000 its reverse (3121302), we get a palindrome (2034334302).

The spelling of 2031213000 in words is "two billion, thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 21841 23250 31000 43682 46500 65523 87364 93000 109205 131046 174728 218410 262092 327615 436820 524184 546025 655230 677071 873640 1092050 1310460 1354142 1638075 2031213 2184100 2620920 2708284 2730125 3276150 3385355 4062426 4368200 5416568 5460250 6552300 6770710 8124852 8190375 10156065 10920500 13104600 13541420 16249704 16380750 16926775 20312130 21841000 27082840 32761500 33853550 40624260 50780325 65523000 67707100 81248520 84633875 101560650 135414200 169267750 203121300 253901625 338535500 406242600 507803250 677071000 1015606500 2031213000