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313234010232 = 2331113139656609
BaseRepresentation
bin1001000111011100011…
…00111011000001111000
31002221111211001101220020
410203232030323001320
520113000401311412
6355521523530440
731426142104503
oct4435614730170
91087454041806
10313234010232
11110929484040
1250859529a20
13236cb834cb0
14112369c413a
15823443718c
hex48ee33b078

313234010232 has 128 divisors (see below), whose sum is σ = 926608032000. Its totient is φ = 86987427840.

The previous prime is 313234010189. The next prime is 313234010249. The reversal of 313234010232 is 232010432313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 148744 + ... + 805352.

It is an arithmetic number, because the mean of its divisors is an integer number (7239125250).

Almost surely, 2313234010232 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 313234010232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463304016000).

313234010232 is an abundant number, since it is smaller than the sum of its proper divisors (613374021768).

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

313234010232 is a wasteful number, since it uses less digits than its factorization.

313234010232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656781 (or 656777 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 313234010232 its reverse (232010432313), we get a palindrome (545244442545).

The spelling of 313234010232 in words is "three hundred thirteen billion, two hundred thirty-four million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 139 143 156 264 278 286 312 417 429 556 572 834 858 1112 1144 1529 1668 1716 1807 3058 3336 3432 3614 4587 5421 6116 7228 9174 10842 12232 14456 18348 19877 21684 36696 39754 43368 59631 79508 119262 159016 238524 477048 656609 1313218 1969827 2626436 3939654 5252872 7222699 7879308 8535917 14445398 15758616 17071834 21668097 25607751 28890796 34143668 43336194 51215502 57781592 68287336 86672388 91268651 93895087 102431004 173344776 182537302 187790174 204862008 273805953 281685261 365074604 375580348 547611906 563370522 730149208 751160696 1003955161 1095223812 1126741044 1186492463 2007910322 2190447624 2253482088 2372984926 3011865483 3559477389 4015820644 4745969852 6023730966 7118954778 8031641288 9491939704 12047461932 13051417093 14237909556 24094923864 26102834186 28475819112 39154251279 52205668372 78308502558 104411336744 156617005116 313234010232