Search a number
-
+
331003300213320 = 233571313008027083
BaseRepresentation
bin100101101000010111011011…
…0001000001111001001001000
31121101222121101002222222102020
41023100232312020033021020
5321341124224323311240
63131552452241004440
7126502125230236440
oct11320566610171110
91541877332888366
10331003300213320
1196516790806599
123115a7a7623720
1311290628768037
145ba490665d120
15284024e9950d0
hex12d0bb620f248

331003300213320 has 128 divisors (see below), whose sum is σ = 1143531576253440. Its totient is φ = 75080355966720.

The previous prime is 331003300213277. The next prime is 331003300213321. The reversal of 331003300213320 is 23312003300133.

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

It is not an unprimeable number, because it can be changed into a prime (331003300213321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503903502 + ... + 1504123581.

It is an arithmetic number, because the mean of its divisors is an integer number (8933840439480).

Almost surely, 2331003300213320 is an apocalyptic number.

331003300213320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331003300213320 is an abundant number, since it is smaller than the sum of its proper divisors (812528276040120).

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

331003300213320 is a wasteful number, since it uses less digits than its factorization.

331003300213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008027235 (or 3008027231 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 331003300213320 its reverse (23312003300133), we get a palindrome (354315303513453).

The spelling of 331003300213320 in words is "three hundred thirty-one trillion, three billion, three hundred million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1310 1572 1834 1965 2620 2751 3144 3668 3930 4585 5240 5502 7336 7860 9170 11004 13755 15720 18340 22008 27510 36680 55020 110040 3008027083 6016054166 9024081249 12032108332 15040135415 18048162498 21056189581 24064216664 30080270830 36096324996 42112379162 45120406245 60160541660 63168568743 72192649992 84224758324 90240812490 105280947905 120321083320 126337137486 168449516648 180481624980 210561895810 252674274972 315842843715 360963249960 394051547873 421123791620 505348549944 631685687430 788103095746 842247583240 1182154643619 1263371374860 1576206191492 1970257739365 2364309287238 2526742749720 2758360835111 3152412382984 3940515478730 4728618574476 5516721670222 5910773218095 7881030957460 8275082505333 9457237148952 11033443340444 11821546436190 13791804175555 15762061914920 16550165010666 22066886680888 23643092872380 27583608351110 33100330021332 41375412526665 47286185744760 55167216702220 66200660042664 82750825053330 110334433404440 165501650106660 331003300213320