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11232212020 = 22531101181991
BaseRepresentation
bin10100111010111110…
…11111010000110100
31001222210101111020121
422131133133100310
5141000421241040
65054321141324
7545226140551
oct123537372064
931883344217
1011232212020
114844322157
12221578a844
1310a007c703
14787a79a28
1545b15cc4a
hex29d7df434

11232212020 has 96 divisors (see below), whose sum is σ = 24750415872. Its totient is φ = 4276800000.

The previous prime is 11232211997. The next prime is 11232212023. The reversal of 11232212020 is 2021223211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11232211985 and 11232212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232212023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11333725 + ... + 11334715.

It is an arithmetic number, because the mean of its divisors is an integer number (257816832).

Almost surely, 211232212020 is an apocalyptic number.

11232212020 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 11232212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375207936).

11232212020 is an abundant number, since it is smaller than the sum of its proper divisors (13518203852).

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

11232212020 is a wasteful number, since it uses less digits than its factorization.

11232212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11232212020 its reverse (2021223211), we get a palindrome (13253435231).

The spelling of 11232212020 in words is "eleven billion, two hundred thirty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 181 202 310 362 404 505 620 724 905 991 1010 1810 1982 2020 3131 3620 3964 4955 5611 6262 9910 11222 12524 15655 18281 19820 22444 28055 30721 31310 36562 56110 61442 62620 73124 91405 100091 112220 122884 153605 179371 182810 200182 307210 358742 365620 400364 500455 566711 614420 717484 896855 1000910 1133422 1793710 2001820 2266844 2833555 3102821 3587420 5560501 5667110 6205642 11121002 11334220 12411284 15514105 18116471 22242004 27802505 31028210 36232942 55605010 62056420 72465884 90582355 111210020 181164710 362329420 561610601 1123221202 2246442404 2808053005 5616106010 11232212020