Search a number
-
+
10001411303202 = 2321132683155593
BaseRepresentation
bin1001000110001010001010…
…0100010110011100100010
31022102010101112211212212100
42101202202210112130202
52302330342243200302
633134330202111230
72051402203255014
oct221424244263442
938363345755770
1010001411303202
113206635a43000
1211564104ab516
1357718a663a87
142680dc7441b4
1512525dcbbd1c
hex918a2916722

10001411303202 has 96 divisors (see below), whose sum is σ = 23844105844416. Its totient is φ = 3029581621440.

The previous prime is 10001411303179. The next prime is 10001411303249. The reversal of 10001411303202 is 20230311410001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64201518 + ... + 64357110.

It is an arithmetic number, because the mean of its divisors is an integer number (248376102546).

Almost surely, 210001411303202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001411303202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922052922208).

10001411303202 is an abundant number, since it is smaller than the sum of its proper divisors (13842694541214).

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

10001411303202 is a wasteful number, since it uses less digits than its factorization.

10001411303202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158317 (or 158292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10001411303202 its reverse (20230311410001), we get a palindrome (30231722713203).

The spelling of 10001411303202 in words is "ten trillion, one billion, four hundred eleven million, three hundred three thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 2683 3993 5366 7986 8049 11979 16098 23958 24147 29513 48294 59026 88539 155593 177078 265617 311186 324643 466779 531234 649286 933558 973929 1400337 1711523 1947858 2800674 2921787 3423046 3571073 5134569 5843574 7142146 10269138 10713219 15403707 18826753 21426438 30807414 32139657 37653506 56480259 64279314 112960518 169440777 207094283 338881554 414188566 417456019 621282849 834912038 1242565698 1252368057 1863848547 2504736114 3727697094 3757104171 4592016209 7514208342 9184032418 13776048627 27552097254 41328145881 50512178299 82656291762 101024356598 151536534897 303073069794 454609604691 555633961289 909219209382 1111267922578 1666901883867 3333803767734 5000705651601 10001411303202