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11202310002 = 23132107223463
BaseRepresentation
bin10100110111011010…
…11010111101110010
31001220201010022101110
422123231122331302
5140420242410002
65051332214150
7544414030632
oct123355327562
931821108343
1011202310002
114829459344
12220776a356
131096b10200
14783ad46c2
15458702e6c
hex29bb5af72

11202310002 has 96 divisors (see below), whose sum is σ = 24650293248. Its totient is φ = 3391996608.

The previous prime is 11202309977. The next prime is 11202310003. The reversal of 11202310002 is 20001320211.

It is a self number, because there is not a number n which added to its sum of digits gives 11202310002.

It is not an unprimeable number, because it can be changed into a prime (11202310003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24194823 + ... + 24195285.

It is an arithmetic number, because the mean of its divisors is an integer number (256773888).

Almost surely, 211202310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325146624).

11202310002 is an abundant number, since it is smaller than the sum of its proper divisors (13447983246).

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

11202310002 is a wasteful number, since it uses less digits than its factorization.

11202310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11202310002 its reverse (20001320211), we get a palindrome (31203630213).

The spelling of 11202310002 in words is "eleven billion, two hundred two million, three hundred ten thousand, two".

Divisors: 1 2 3 6 13 26 39 78 107 169 214 223 321 338 446 463 507 642 669 926 1014 1338 1389 1391 2778 2782 2899 4173 5798 6019 8346 8697 12038 17394 18057 18083 23861 36114 36166 37687 47722 49541 54249 71583 75374 78247 99082 103249 108498 113061 143166 148623 156494 206498 226122 234741 297246 309747 310193 469482 619494 620386 644033 930579 1288066 1342237 1861158 1932099 2684474 3864198 4026711 4032509 8053422 8065018 8372429 11047643 12097527 16744858 17449081 22095286 24195054 25117287 33142929 34898162 50234574 52347243 66285858 104694486 143619359 287238718 430858077 861716154 1867051667 3734103334 5601155001 11202310002