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213300302103032 = 231753641271117029
BaseRepresentation
bin110000011111111011011000…
…101111001100000111111000
31000222020022100210112001001012
4300133323120233030013320
5210424203004314244112
62033352450034213052
762633303221000454
oct6037733057140770
91028208323461035
10213300302103032
1161a6717189a871
121bb0b03b724188
13920319452bc91
143a95b0ad4b664
15199d66c6ac022
hexc1fed8bcc1f8

213300302103032 has 128 divisors (see below), whose sum is σ = 432311596329600. Its totient is φ = 98287032729600.

The previous prime is 213300302103029. The next prime is 213300302103079. The reversal of 213300302103032 is 230301203003312.

It is a junction number, because it is equal to n+sod(n) for n = 213300302102989 and 213300302103007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12525700694 + ... + 12525717722.

It is an arithmetic number, because the mean of its divisors is an integer number (3377434346325).

Almost surely, 2213300302103032 is an apocalyptic number.

It is an amenable number.

213300302103032 is an abundant number, since it is smaller than the sum of its proper divisors (219011294226568).

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

213300302103032 is a wasteful number, since it uses less digits than its factorization.

213300302103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20457 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 213300302103032 its reverse (230301203003312), we get a palindrome (443601505106344).

The spelling of 213300302103032 in words is "two hundred thirteen trillion, three hundred billion, three hundred two million, one hundred three thousand, thirty-two".

Divisors: 1 2 4 8 17 34 53 68 106 136 212 424 641 901 1282 1802 2564 2711 3604 5128 5422 7208 10844 10897 17029 21688 21794 33973 34058 43588 46087 67946 68116 87176 92174 135892 136232 143683 184348 271784 287366 289493 368696 574732 577541 578986 902537 1149464 1155082 1157972 1737751 1805074 2310164 2315944 2442611 3475502 3610148 4620328 4885222 6951004 7220296 9770444 10915589 13902008 15343129 19540888 21831178 29541767 30686258 43662356 46165619 59083534 61372516 87324712 92100803 92331238 118167068 122745032 184201606 184662476 185565013 236334136 368403212 369324952 371130026 578526217 736806424 742260052 784815523 1157052434 1484520104 1565713651 1569631046 2314104868 2446777807 3131427302 3139262092 4628209736 4893555614 6262854604 6278524184 9787111228 9834945689 12525709208 19574222456 19669891378 29592161779 39339782756 41595222719 59184323558 78679565512 83190445438 118368647116 166380890876 236737294232 332761781752 503066750243 1006133500486 1568384574287 2012267000972 3136769148574 4024534001944 6273538297148 12547076594296 26662537762879 53325075525758 106650151051516 213300302103032