Search a number
-
+
10031212000 = 25534358321
BaseRepresentation
bin10010101011110100…
…00010010111100000
3221220002111100221101
421111322002113200
5131020442241000
64335215404144
7503403616015
oct112572022740
927802440841
1010031212000
1142883a3057
121b3b523654
13c3b2c8004
146b236970c
153da9c5e6a
hex255e825e0

10031212000 has 96 divisors (see below), whose sum is σ = 25220299104. Its totient is φ = 3919104000.

The previous prime is 10031211991. The next prime is 10031212001. The reversal of 10031212000 is 21213001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142840 + ... + 201160.

It is an arithmetic number, because the mean of its divisors is an integer number (262711449).

Almost surely, 210031212000 is an apocalyptic number.

10031212000 is a gapful number since it is divisible by the number (10) 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 10031212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610149552).

10031212000 is an abundant number, since it is smaller than the sum of its proper divisors (15189087104).

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

10031212000 is an equidigital number, since it uses as much as digits as its factorization.

10031212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58389 (or 58371 counting only the distinct ones).

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

Adding to 10031212000 its reverse (21213001), we get a palindrome (10052425001).

The spelling of 10031212000 in words is "ten billion, thirty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 58321 86000 116642 172000 233284 291605 466568 583210 933136 1166420 1458025 1866272 2332840 2507803 2916050 4665680 5015606 5832100 7290125 9331360 10031212 11664200 12539015 14580250 20062424 23328400 25078030 29160500 40124848 46656800 50156060 58321000 62695075 80249696 100312120 116642000 125390150 200624240 233284000 250780300 313475375 401248480 501560600 626950750 1003121200 1253901500 2006242400 2507803000 5015606000 10031212000