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23120544420 = 2234514271941
BaseRepresentation
bin10101100010000101…
…111000001010100100
32012200022101100110000
4111202011320022210
5334322324410140
614342121301300
71445643246021
oct254205701244
965608340400
1023120544420
119894a43256
124593034830
132246046b1c
14119490a548
15904bc1a30
hex5621782a4

23120544420 has 60 divisors (see below), whose sum is σ = 72530009244. Its totient is φ = 6165478080.

The previous prime is 23120544371. The next prime is 23120544439. The reversal of 23120544420 is 2444502132.

23120544420 is a `hidden beast` number, since 2 + 31 + 205 + 4 + 4 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17761425984 + 5359118436 = 133272^2 + 73206^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7134351 + ... + 7137590.

Almost surely, 223120544420 is an apocalyptic number.

23120544420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120544420 is an abundant number, since it is smaller than the sum of its proper divisors (49409464824).

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

23120544420 is a wasteful number, since it uses less digits than its factorization.

23120544420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14271962 (or 14271951 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

It can be divided in two parts, 231205 and 44420, that added together give a square (275625 = 5252).

The spelling of 23120544420 in words is "twenty-three billion, one hundred twenty million, five hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 14271941 28543882 42815823 57087764 71359705 85631646 128447469 142719410 171263292 214079115 256894938 285438820 385342407 428158230 513789876 642237345 770684814 856316460 1156027221 1284474690 1541369628 1926712035 2312054442 2568949380 3853424070 4624108884 5780136105 7706848140 11560272210 23120544420