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2320201312 = 2511131373701
BaseRepresentation
bin1000101001001011…
…0111011001100000
312222200212102211221
42022102313121200
514222432420222
61022121544424
7111332246212
oct21222673140
95880772757
102320201312
11a90769650
12549045114
132ac8c90b0
1418020a5b2
15d8a620c7
hex8a4b7660

2320201312 has 96 divisors (see below), whose sum is σ = 5407111584. Its totient is φ = 966144000.

The previous prime is 2320201309. The next prime is 2320201333. The reversal of 2320201312 is 2131020232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625062 + ... + 628762.

It is an arithmetic number, because the mean of its divisors is an integer number (56324079).

Almost surely, 22320201312 is an apocalyptic number.

2320201312 is a gapful number since it is divisible by the number (22) 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 2320201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703555792).

2320201312 is an abundant number, since it is smaller than the sum of its proper divisors (3086910272).

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

2320201312 is a wasteful number, since it uses less digits than its factorization.

2320201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2320201312 is about 48168.4680262929. The cubic root of 2320201312 is about 1323.8594788845.

Adding to 2320201312 its reverse (2131020232), we get a palindrome (4451221544).

It can be divided in two parts, 232020 and 1312, that added together give a palindrome (233332).

The spelling of 2320201312 in words is "two billion, three hundred twenty million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 137 143 176 208 274 286 352 416 548 572 1096 1144 1507 1781 2192 2288 3014 3562 3701 4384 4576 6028 7124 7402 12056 14248 14804 19591 24112 28496 29608 39182 40711 48113 48224 56992 59216 78364 81422 96226 118432 156728 162844 192452 313456 325688 384904 507037 529243 626912 651376 769808 1014074 1058486 1302752 1539616 2028148 2116972 4056296 4233944 5577407 6591481 8112592 8467888 11154814 13182962 16225184 16935776 22309628 26365924 44619256 52731848 72506291 89238512 105463696 145012582 178477024 210927392 290025164 580050328 1160100656 2320201312