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23121320000 = 26544211373
BaseRepresentation
bin10101100010001000…
…110101100001000000
32012200100211202100012
4111202020311201000
5334323024220000
614342150044052
71445652656132
oct254210654100
965610752305
1023121320000
119895422a29
124593349628
132246258b4c
141194a6d052
15904cc6735
hex562235840

23121320000 has 140 divisors (see below), whose sum is σ = 57511399836. Its totient is φ = 9219840000.

The previous prime is 23121319997. The next prime is 23121320011. The reversal of 23121320000 is 2312132.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 18151633984 + 4969686016 = 134728^2 + 70496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16839314 + ... + 16840686.

Almost surely, 223121320000 is an apocalyptic number.

23121320000 is a gapful number since it is divisible by the number (20) 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 23121320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28755699918).

23121320000 is an abundant number, since it is smaller than the sum of its proper divisors (34390079836).

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

23121320000 is an equidigital number, since it uses as much as digits as its factorization.

23121320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23121320000 its reverse (2312132), we get a palindrome (23123632132).

23121320000 divided by its reverse (2312132) gives a 4-th power (10000 = 104).

The spelling of 23121320000 in words is "twenty-three billion, one hundred twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 421 500 625 800 842 1000 1250 1373 1600 1684 2000 2105 2500 2746 3368 4000 4210 5000 5492 6736 6865 8000 8420 10000 10525 10984 13472 13730 16840 20000 21050 21968 26944 27460 33680 34325 40000 42100 43936 52625 54920 67360 68650 84200 87872 105250 109840 134720 137300 168400 171625 210500 219680 263125 274600 336800 343250 421000 439360 526250 549200 578033 673600 686500 842000 858125 1052500 1098400 1156066 1373000 1684000 1716250 2105000 2196800 2312132 2746000 2890165 3368000 3432500 4210000 4624264 5492000 5780330 6865000 8420000 9248528 10984000 11560660 13730000 14450825 16840000 18497056 23121320 27460000 28901650 36994112 46242640 54920000 57803300 72254125 92485280 115606600 144508250 184970560 231213200 289016500 361270625 462426400 578033000 722541250 924852800 1156066000 1445082500 2312132000 2890165000 4624264000 5780330000 11560660000 23121320000