Search a number
-
+
11020110002202 = 23797106311532207
BaseRepresentation
bin1010000001011101000110…
…1111011111100000011010
31110000111211102011122012210
42200113101233133200122
52421023141130032302
635234322454415550
72215114412321340
oct240272157374032
943014742148183
1011020110002202
113569669891244
12129b9306615b6
1361c265835042
142a153a2d3990
151419d1e0366c
hexa05d1bdf81a

11020110002202 has 128 divisors (see below), whose sum is σ = 25506085699584. Its totient is φ = 3109102092288.

The previous prime is 11020110002123. The next prime is 11020110002221. The reversal of 11020110002202 is 20220001102011.

11020110002202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4993252183 + ... + 4993254389.

It is an arithmetic number, because the mean of its divisors is an integer number (199266294528).

Almost surely, 211020110002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020110002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753042849792).

11020110002202 is an abundant number, since it is smaller than the sum of its proper divisors (14485975697382).

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

11020110002202 is a wasteful number, since it uses less digits than its factorization.

11020110002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020110002202 its reverse (20220001102011), we get a palindrome (31240111104213).

The spelling of 11020110002202 in words is "eleven trillion, twenty billion, one hundred ten million, two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 582 679 1063 1153 1358 2037 2126 2207 2306 3189 3459 4074 4414 6378 6621 6918 7441 8071 13242 14882 15449 16142 22323 24213 30898 44646 46347 48426 92694 103111 111841 206222 214079 223682 309333 335523 428158 618666 642237 671046 721777 782887 1225639 1284474 1443554 1498553 1565774 2165331 2346041 2348661 2451278 2544671 2997106 3676917 4330662 4495659 4692082 4697322 5089342 7038123 7353834 7634013 8579473 8991318 14076246 15268026 16422287 17158946 17812697 25738419 32844574 35625394 49266861 51476838 53438091 98533722 106876182 118886983 227565977 237773966 246833087 356660949 455131954 493666174 682697931 713321898 740499261 832208881 1365395862 1480998522 1592961839 1664417762 1727831609 2496626643 2704985273 3185923678 3455663218 4778885517 4993253286 5183494827 5409970546 8114955819 9557771034 10366989654 16229911638 18934896911 37869793822 56804690733 113609381466 262383571481 524767142962 787150714443 1574301428886 1836685000367 3673370000734 5510055001101 11020110002202