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23112201330 = 2325377019901
BaseRepresentation
bin10101100001100110…
…000011010001110010
32012122201200110212200
4111201212003101302
5334313210420310
614341222404030
71445512320111
oct254146032162
965581613780
1023112201330
119890264a39
124590290616
1322443b549a
141193777c78
159040c49c0
hex561983472

23112201330 has 96 divisors (see below), whose sum is σ = 61810105968. Its totient is φ = 5987520000.

The previous prime is 23112201271. The next prime is 23112201361. The reversal of 23112201330 is 3310221132.

23112201330 is a `hidden beast` number, since 2 + 311 + 2 + 20 + 1 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22699339569 + 412861761 = 150663^2 + 20319^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2329380 + ... + 2339280.

Almost surely, 223112201330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23112201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905052984).

23112201330 is an abundant number, since it is smaller than the sum of its proper divisors (38697904638).

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

23112201330 is a wasteful number, since it uses less digits than its factorization.

23112201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23112201330 its reverse (3310221132), we get a palindrome (26422422462).

The spelling of 23112201330 in words is "twenty-three billion, one hundred twelve million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 701 1110 1402 1665 2103 3330 3505 4206 6309 7010 9901 10515 12618 19802 21030 25937 29703 31545 49505 51874 59406 63090 77811 89109 99010 129685 148515 155622 178218 233433 259370 297030 366337 389055 445545 466866 732674 778110 891090 1099011 1167165 1831685 2198022 2334330 3297033 3663370 5495055 6594066 6940601 10990110 13881202 16485165 20821803 32970330 34703005 41643606 62465409 69406010 104109015 124930818 208218030 256802237 312327045 513604474 624654090 770406711 1284011185 1540813422 2311220133 2568022370 3852033555 4622440266 7704067110 11556100665 23112201330