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23320301312 = 287112351437
BaseRepresentation
bin10101101101111111…
…111000111100000000
32020012020021001101102
4111231333320330000
5340224444120222
614414014553532
71453620201440
oct255577707400
966166231342
1023320301312
11998777a5a0
124629b088a8
132278547579
1411b3268120
159174cdd92
hex56dff8f00

23320301312 has 144 divisors (see below), whose sum is σ = 60560220672. Its totient is φ = 8690626560.

The previous prime is 23320301311. The next prime is 23320301321. The reversal of 23320301312 is 21310302332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320301311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427658 + ... + 479094.

It is an arithmetic number, because the mean of its divisors is an integer number (420557088).

Almost surely, 223320301312 is an apocalyptic number.

23320301312 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 23320301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30280110336).

23320301312 is an abundant number, since it is smaller than the sum of its proper divisors (37239919360).

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

23320301312 is a wasteful number, since it uses less digits than its factorization.

23320301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51494 (or 51480 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23320301312 its reverse (21310302332), we get a palindrome (44630603644).

The spelling of 23320301312 in words is "twenty-three billion, three hundred twenty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 256 308 322 352 368 448 506 616 644 704 736 896 1012 1232 1288 1408 1472 1771 1792 2024 2464 2576 2816 2944 3542 4048 4928 5152 5888 7084 8096 9856 10304 14168 16192 19712 20608 28336 32384 41216 51437 56672 64768 102874 113344 205748 226688 360059 411496 453376 565807 720118 822992 1131614 1183051 1440236 1645984 2263228 2366102 2880472 3291968 3960649 4526456 4732204 5760944 6583936 7921298 8281357 9052912 9464408 11521888 13013561 13167872 15842596 16562714 18105824 18928816 23043776 26027122 31685192 33125428 36211648 37857632 46087552 52054244 63370384 66250856 72423296 75715264 91094927 92175104 104108488 126740768 132501712 144846592 151430528 182189854 208216976 253481536 265003424 302861056 364379708 416433952 506963072 530006848 728759416 832867904 1013926144 1060013696 1457518832 1665735808 2120027392 2915037664 3331471616 5830075328 11660150656 23320301312