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13202030331300 = 223521373111032853
BaseRepresentation
bin1100000000011101011001…
…0101000000010110100100
31201202002202012012201201110
43000013112111000112210
53212300224231100200
644024532355425020
72531546422155546
oct300072625002644
951662665181643
1013202030331300
11422aa49a44948
1215927852b5170
13749c3b811655
14338da5a19696
1517d635eb0b50
hexc01d65405a4

13202030331300 has 144 divisors (see below), whose sum is σ = 38600447663232. Its totient is φ = 3483603225600.

The previous prime is 13202030331277. The next prime is 13202030331353. The reversal of 13202030331300 is 313303020231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12265674 + ... + 13298526.

It is an arithmetic number, because the mean of its divisors is an integer number (268058664328).

Almost surely, 213202030331300 is an apocalyptic number.

13202030331300 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 13202030331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19300223831616).

13202030331300 is an abundant number, since it is smaller than the sum of its proper divisors (25398417331932).

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

13202030331300 is a wasteful number, since it uses less digits than its factorization.

13202030331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033318 (or 1033311 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13202030331300 its reverse (313303020231), we get a palindrome (13515333351531).

The spelling of 13202030331300 in words is "thirteen trillion, two hundred two billion, thirty million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 311 411 548 622 685 822 933 1244 1370 1555 1644 1866 2055 2740 3110 3425 3732 4110 4665 6220 6850 7775 8220 9330 10275 13700 15550 18660 20550 23325 31100 41100 42607 46650 85214 93300 127821 170428 213035 255642 426070 511284 639105 852140 1032853 1065175 1278210 2065706 2130350 2556420 3098559 3195525 4131412 4260700 5164265 6197118 6391050 10328530 12394236 12782100 15492795 20657060 25821325 30985590 51642650 61971180 77463975 103285300 141500861 154927950 283001722 309855900 321217283 424502583 566003444 642434566 707504305 849005166 963651849 1284869132 1415008610 1606086415 1698010332 1927303698 2122512915 2830017220 3212172830 3537521525 3854607396 4245025830 4818259245 6424345660 7075043050 8030432075 8490051660 9636518490 10612564575 14150086100 16060864150 19273036980 21225129150 24091296225 32121728300 42450258300 44006767771 48182592450 88013535542 96365184900 132020303313 176027071084 220033838855 264040606626 440067677710 528081213252 660101516565 880135355420 1100169194275 1320203033130 2200338388550 2640406066260 3300507582825 4400676777100 6601015165650 13202030331300