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23001221300 = 22522379277457
BaseRepresentation
bin10101011010111110…
…101100100010110100
32012100222212002220012
4111122332230202310
5334101303040200
614322215555352
71442664104141
oct253276544264
965328762805
1023001221300
119833654002
12455b08bb58
1322273c9025
141182b293c8
158e94a1a35
hex55afac8b4

23001221300 has 144 divisors (see below), whose sum is σ = 53048271360. Its totient is φ = 8638755840.

The previous prime is 23001221293. The next prime is 23001221317. The reversal of 23001221300 is 312210032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50330672 + ... + 50331128.

Almost surely, 223001221300 is an apocalyptic number.

23001221300 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 23001221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26524135680).

23001221300 is an abundant number, since it is smaller than the sum of its proper divisors (30047050060).

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

23001221300 is a wasteful number, since it uses less digits than its factorization.

23001221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 843 counting only the distinct ones).

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

Adding to 23001221300 its reverse (312210032), we get a palindrome (23313431332).

The spelling of 23001221300 in words is "twenty-three billion, one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 79 92 100 115 158 230 277 316 395 457 460 554 575 790 914 1108 1150 1385 1580 1817 1828 1975 2285 2300 2770 3634 3950 4570 5540 6371 6925 7268 7900 9085 9140 10511 11425 12742 13850 18170 21022 21883 22850 25484 27700 31855 36103 36340 42044 43766 45425 45700 52555 63710 72206 87532 90850 105110 109415 126589 127420 144412 159275 180515 181700 210220 218830 253178 262775 318550 361030 437660 503309 506356 525550 547075 632945 637100 722060 830369 902575 1006618 1051100 1094150 1265890 1660738 1805150 2013236 2188300 2516545 2531780 2911547 3164725 3321476 3610300 4151845 5033090 5823094 6329450 8303690 10000531 10066180 11646188 12582725 12658900 14557735 16607380 20001062 20759225 25165450 29115470 40002124 41518450 50002655 50330900 58230940 72788675 83036900 100005310 145577350 200010620 230012213 250013275 291154700 460024426 500026550 920048852 1000053100 1150061065 2300122130 4600244260 5750305325 11500610650 23001221300