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31210231000 = 2353134015987
BaseRepresentation
bin11101000100010001…
…100101010011011000
32222120002120000012111
4131010101211103120
51002404304343000
622200543322104
72153263405054
oct350421452330
988502500174
1031210231000
11122663a8543
1260702b0334
132c3502c310
14172107cc64
15c29ed5cba
hex7444654d8

31210231000 has 128 divisors (see below), whose sum is σ = 78859085760. Its totient is φ = 11493120000.

The previous prime is 31210230983. The next prime is 31210231007. The reversal of 31210231000 is 13201213.

It is a super-2 number, since 2×312102310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31210231007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5210007 + ... + 5215993.

Almost surely, 231210231000 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 31210231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39429542880).

31210231000 is an abundant number, since it is smaller than the sum of its proper divisors (47648854760).

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

31210231000 is a wasteful number, since it uses less digits than its factorization.

31210231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31210231000 its reverse (13201213), we get a palindrome (31223432213).

The spelling of 31210231000 in words is "thirty-one billion, two hundred ten million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 401 500 520 650 802 1000 1300 1604 1625 2005 2600 3208 3250 4010 5213 5987 6500 8020 10025 10426 11974 13000 16040 20050 20852 23948 26065 29935 40100 41704 47896 50125 52130 59870 77831 80200 100250 104260 119740 130325 149675 155662 200500 208520 239480 260650 299350 311324 389155 401000 521300 598700 622648 651625 748375 778310 1042600 1197400 1303250 1496750 1556620 1945775 2400787 2606500 2993500 3113240 3891550 4801574 5213000 5987000 7783100 9603148 9728875 12003935 15566200 19206296 19457750 24007870 31210231 38915500 48015740 60019675 62420462 77831000 96031480 120039350 124840924 156051155 240078700 249681848 300098375 312102310 480157400 600196750 624204620 780255775 1200393500 1248409240 1560511550 2400787000 3121023100 3901278875 6242046200 7802557750 15605115500 31210231000