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31201210000 = 245419915679
BaseRepresentation
bin11101000011101111…
…001010111010010000
32222112110120200201101
4131003233022322100
51002400002210000
622200022114144
72153123623552
oct350357127220
988473520641
1031201210000
11122612a6974
12606927b954
132c331c124c
14171dbb14d2
15c29302e6a
hex743bcae90

31201210000 has 100 divisors (see below), whose sum is σ = 75925696000. Its totient is φ = 12416976000.

The previous prime is 31201209989. The next prime is 31201210009. The reversal of 31201210000 is 1210213.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31201210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1982161 + ... + 1997839.

It is an arithmetic number, because the mean of its divisors is an integer number (759256960).

Almost surely, 231201210000 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 31201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37962848000).

31201210000 is an abundant number, since it is smaller than the sum of its proper divisors (44724486000).

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

31201210000 is a wasteful number, since it uses less digits than its factorization.

31201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15906 (or 15885 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31201210000 its reverse (1210213), we get a palindrome (31202420213).

The spelling of 31201210000 in words is "thirty-one billion, two hundred one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 625 796 995 1000 1250 1592 1990 2000 2500 3184 3980 4975 5000 7960 9950 10000 15679 15920 19900 24875 31358 39800 49750 62716 78395 79600 99500 124375 125432 156790 199000 248750 250864 313580 391975 398000 497500 627160 783950 995000 1254320 1567900 1959875 1990000 3120121 3135800 3919750 6240242 6271600 7839500 9799375 12480484 15600605 15679000 19598750 24960968 31201210 31358000 39197500 49921936 62402420 78003025 78395000 124804840 156006050 156790000 249609680 312012100 390015125 624024200 780030250 1248048400 1560060500 1950075625 3120121000 3900151250 6240242000 7800302500 15600605000 31201210000