Search a number
-
+
10000321133320 = 23571031231281683
BaseRepresentation
bin1001000110000110000110…
…0101101011101100001000
31022102000120120111111221001
42101201201211223230020
52302321124202231240
633134030100024344
72051333165053120
oct221414145535410
938360516444831
1010000321133320
113206126632261
1211561673920b4
1357704584553b
14268037a43c80
151251e822889a
hex9186196bb08

10000321133320 has 128 divisors (see below), whose sum is σ = 25985957437440. Its totient is φ = 3392623077120.

The previous prime is 10000321133311. The next prime is 10000321133323. The reversal of 10000321133320 is 2333112300001.

It is not an unprimeable number, because it can be changed into a prime (10000321133323) 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, 35361199 + ... + 35642881.

It is an arithmetic number, because the mean of its divisors is an integer number (203015292480).

Almost surely, 210000321133320 is an apocalyptic number.

10000321133320 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 10000321133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992978718720).

10000321133320 is an abundant number, since it is smaller than the sum of its proper divisors (15985636304120).

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

10000321133320 is a wasteful number, since it uses less digits than its factorization.

10000321133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283035 (or 283031 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10000321133320 its reverse (2333112300001), we get a palindrome (12333433433321).

The spelling of 10000321133320 in words is "ten trillion, three hundred twenty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1231 1442 2060 2462 2884 3605 4120 4924 5768 6155 7210 8617 9848 12310 14420 17234 24620 28840 34468 43085 49240 68936 86170 126793 172340 253586 281683 344680 507172 563366 633965 887551 1014344 1126732 1267930 1408415 1775102 1971781 2253464 2535860 2816830 3550204 3943562 4437755 5071720 5633660 7100408 7887124 8875510 9858905 11267320 15774248 17751020 19717810 29013349 35502040 39435620 58026698 78871240 116053396 145066745 203093443 232106792 290133490 346751773 406186886 580266980 693503546 812373772 1015467215 1160533960 1387007092 1624747544 1733758865 2030934430 2427262411 2774014184 3467517730 4061868860 4854524822 6935035460 8123737720 9709049644 12136312055 13870070920 19418099288 24272624110 35715432619 48545248220 71430865238 97090496440 142861730476 178577163095 250008028333 285723460952 357154326190 500016056666 714308652380 1000032113332 1250040141665 1428617304760 2000064226664 2500080283330 5000160566660 10000321133320