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31123130010 = 2357838920063
BaseRepresentation
bin11100111111000101…
…010100011010011010
32222100000122211002220
4130333011110122122
51002220010130020
622144152404510
72151155145240
oct347705243232
988300584086
1031123130010
1112221217255
1260470a6736
132c1cc83a7b
141713688790
15c2252d240
hex73f15469a

31123130010 has 128 divisors (see below), whose sum is σ = 87369891840. Its totient is φ = 6948834816.

The previous prime is 31123129937. The next prime is 31123130011. The reversal of 31123130010 is 1003132113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (31123130011) 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 63 ways as a sum of consecutive naturals, for example, 1541239 + ... + 1561301.

It is an arithmetic number, because the mean of its divisors is an integer number (682577280).

Almost surely, 231123130010 is an apocalyptic number.

31123130010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43684945920).

31123130010 is an abundant number, since it is smaller than the sum of its proper divisors (56246761830).

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

31123130010 is a wasteful number, since it uses less digits than its factorization.

31123130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20252.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31123130010 its reverse (1003132113), we get a palindrome (32126262123).

The spelling of 31123130010 in words is "thirty-one billion, one hundred twenty-three million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 89 105 166 178 210 249 267 415 445 498 534 581 623 830 890 1162 1245 1246 1335 1743 1869 2490 2670 2905 3115 3486 3738 5810 6230 7387 8715 9345 14774 17430 18690 20063 22161 36935 40126 44322 51709 60189 73870 100315 103418 110805 120378 140441 155127 200630 221610 258545 280882 300945 310254 421323 517090 601890 702205 775635 842646 1404410 1551270 1665229 1785607 2106615 3330458 3571214 4213230 4995687 5356821 8326145 8928035 9991374 10713642 11656603 12499249 16652290 17856070 23313206 24978435 24998498 26784105 34969809 37497747 49956870 53568210 58283015 62496245 69939618 74995494 116566030 124992490 148205381 174849045 187488735 296410762 349698090 374977470 444616143 741026905 889232286 1037437667 1482053810 2074875334 2223080715 3112313001 4446161430 5187188335 6224626002 10374376670 15561565005 31123130010