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31202230000 = 24544176103
BaseRepresentation
bin11101000011110011…
…000011111011110000
32222112112111111220011
4131003303003323300
51002400232330000
622200100024304
72153135402404
oct350363037360
988475444804
1031202230000
1112261933247
126069692094
132c3348a5b6
14171dd99104
15c294552ba
hex743cc3ef0

31202230000 has 100 divisors (see below), whose sum is σ = 77387265648. Its totient is φ = 12176320000.

The previous prime is 31202229979. The next prime is 31202230001. The reversal of 31202230000 is 3220213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202230001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371949 + ... + 448051.

Almost surely, 231202230000 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 31202230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38693632824).

31202230000 is an abundant number, since it is smaller than the sum of its proper divisors (46185035648).

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

31202230000 is an equidigital number, since it uses as much as digits as its factorization.

31202230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76172 (or 76151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 31202230000 its reverse (3220213), we get a palindrome (31205450213).

The spelling of 31202230000 in words is "thirty-one billion, two hundred two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 51250 76103 82000 102500 152206 205000 304412 380515 410000 608824 761030 1217648 1522060 1902575 3044120 3120223 3805150 6088240 6240446 7610300 9512875 12480892 15220600 15601115 19025750 24961784 30441200 31202230 38051500 47564375 49923568 62404460 76103000 78005575 95128750 124808920 152206000 156011150 190257500 249617840 312022300 380515000 390027875 624044600 761030000 780055750 1248089200 1560111500 1950139375 3120223000 3900278750 6240446000 7800557500 15601115000 31202230000