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313232000010 = 23537716476143
BaseRepresentation
bin1001000111011100001…
…01010000010000001010
31002221111200021021101120
410203232011100100022
520112444343000020
6355521412500110
731426116033006
oct4435605202012
91087450237346
10313232000010
111109283307a6
125085891a636
13236cb2b0007
141123661d706
15823418b740
hex48ee15040a

313232000010 has 128 divisors (see below), whose sum is σ = 784286613504. Its totient is φ = 79989477120.

The previous prime is 313232000009. The next prime is 313232000017. The reversal of 313232000010 is 10000232313.

It is a super-2 number, since 2×3132320000102 (a number of 24 digits) contains 22 as substring.

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 (313232000017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50986999 + ... + 50993141.

It is an arithmetic number, because the mean of its divisors is an integer number (6127239168).

Almost surely, 2313232000010 is an apocalyptic number.

313232000010 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 313232000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392143306752).

313232000010 is an abundant number, since it is smaller than the sum of its proper divisors (471054613494).

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

313232000010 is a wasteful number, since it uses less digits than its factorization.

313232000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 313232000010 its reverse (10000232313), we get a palindrome (323232232323).

The spelling of 313232000010 in words is "three hundred thirteen billion, two hundred thirty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 37 71 74 111 142 185 213 222 355 370 426 555 647 710 1065 1110 1294 1941 2130 2627 3235 3882 5254 6143 6470 7881 9705 12286 13135 15762 18429 19410 23939 26270 30715 36858 39405 45937 47878 61430 71817 78810 91874 92145 119695 137811 143634 184290 227291 229685 239390 275622 359085 436153 454582 459370 681873 689055 718170 872306 1136455 1308459 1363746 1378110 1699669 2180765 2272910 2616918 3399338 3409365 3974521 4361530 5099007 6542295 6818730 7949042 8498345 10198014 11923563 13084590 16137661 16996690 19872605 23847126 25495035 32275322 39745210 48412983 50990070 59617815 80688305 96825966 119235630 147057277 161376610 242064915 282190991 294114554 441171831 484129830 564381982 735286385 846572973 882343662 1410954955 1470572770 1693145946 2205859155 2821909910 4232864865 4411718310 8465729730 10441066667 20882133334 31323200001 52205333335 62646400002 104410666670 156616000005 313232000010