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11202102002220 = 22352319514160669
BaseRepresentation
bin1010001100000011000101…
…0011111000001000101100
31110122220120202020010202220
42203000301103320020230
52432013401103032340
635454101414515340
72234216346643563
oct243006123701054
943586522203686
1011202102002220
11362986a5a6528
12130b061365b50
1363347a08250c
142aa2828a4bda
151465d443ded0
hexa30314f822c

11202102002220 has 96 divisors (see below), whose sum is σ = 32746403450880. Its totient is φ = 2855882515200.

The previous prime is 11202102002207. The next prime is 11202102002321. The reversal of 11202102002220 is 2220020120211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11202102002220.

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 31 ways as a sum of consecutive naturals, for example, 612046 + ... + 4772714.

It is an arithmetic number, because the mean of its divisors is an integer number (341108369280).

Almost surely, 211202102002220 is an apocalyptic number.

11202102002220 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 11202102002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373201725440).

11202102002220 is an abundant number, since it is smaller than the sum of its proper divisors (21544301448660).

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

11202102002220 is a wasteful number, since it uses less digits than its factorization.

11202102002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162655 (or 4162653 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11202102002220 its reverse (2220020120211), we get a palindrome (13422122122431).

The spelling of 11202102002220 in words is "eleven trillion, two hundred two billion, one hundred two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1951 3902 5853 7804 9755 11706 19510 23412 29265 39020 44873 58530 89746 117060 134619 179492 224365 269238 448730 538476 673095 897460 1346190 2692380 4160669 8321338 12482007 16642676 20803345 24964014 41606690 49928028 62410035 83213380 95695387 124820070 191390774 249640140 287086161 382781548 478476935 574172322 956953870 1148344644 1435430805 1913907740 2870861610 5741723220 8117465219 16234930438 24352395657 32469860876 40587326095 48704791314 81174652190 97409582628 121761978285 162349304380 186701700037 243523956570 373403400074 487047913140 560105100111 746806800148 933508500185 1120210200222 1867017000370 2240420400444 2800525500555 3734034000740 5601051001110 11202102002220