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13350343100 = 22521723557613
BaseRepresentation
bin11000110111011111…
…00001000110111100
31021110102000200211212
430123233201012330
5204320141434400
610044424103552
7651556021043
oct143357410674
937412020755
1013350343100
115730a14406
122707004bb8
131349b48103
149090c555a
155320a7335
hex31bbe11bc

13350343100 has 144 divisors (see below), whose sum is σ = 32117819328. Its totient is φ = 4791029760.

The previous prime is 13350343079. The next prime is 13350343109. The reversal of 13350343100 is 134305331.

It is a happy number.

It is a super-2 number, since 2×133503431002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350343109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21778394 + ... + 21779006.

It is an arithmetic number, because the mean of its divisors is an integer number (223040412).

Almost surely, 213350343100 is an apocalyptic number.

13350343100 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 13350343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058909664).

13350343100 is an abundant number, since it is smaller than the sum of its proper divisors (18767476228).

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

13350343100 is a wasteful number, since it uses less digits than its factorization.

13350343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 13350343100 its reverse (134305331), we get a palindrome (13484648431).

The spelling of 13350343100 in words is "thirteen billion, three hundred fifty million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 557 575 613 782 850 1114 1150 1226 1564 1700 1955 2228 2300 2452 2785 3065 3910 5570 6130 7820 9469 9775 10421 11140 12260 12811 13925 14099 15325 18938 19550 20842 25622 27850 28198 30650 37876 39100 41684 47345 51244 52105 55700 56396 61300 64055 70495 94690 104210 128110 140990 189380 208420 217787 236725 239683 256220 260525 281980 320275 341441 352475 435574 473450 479366 521050 640550 682882 704950 871148 946900 958732 1042100 1088935 1198415 1281100 1365764 1409900 1707205 2177870 2396830 3414410 4355740 4793660 5444675 5804497 5992075 6828820 7853143 8536025 10889350 11608994 11984150 15706286 17072050 21778700 23217988 23968300 29022485 31412572 34144100 39265715 58044970 78531430 116089940 133503431 145112425 157062860 196328575 267006862 290224850 392657150 534013724 580449700 667517155 785314300 1335034310 2670068620 3337585775 6675171550 13350343100