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23340430100 = 225213314313469
BaseRepresentation
bin10101101111001100…
…101011001100010100
32020020122010200220002
4111233030223030110
5340300122230400
614420014230432
71454253245111
oct255714531424
966218120802
1023340430100
119998078659
1246347b5418
13227c7744b0
1411b5bc7908
15919157ed5
hex56f32b314

23340430100 has 144 divisors (see below), whose sum is σ = 57617978880. Its totient is φ = 8145446400.

The previous prime is 23340430081. The next prime is 23340430117. The reversal of 23340430100 is 103404332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1726166 + ... + 1739634.

Almost surely, 223340430100 is an apocalyptic number.

23340430100 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 23340430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28808989440).

23340430100 is an abundant number, since it is smaller than the sum of its proper divisors (34277548780).

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

23340430100 is a wasteful number, since it uses less digits than its factorization.

23340430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13570 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23340430100 its reverse (103404332), we get a palindrome (23443834432).

The spelling of 23340430100 in words is "twenty-three billion, three hundred forty million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 43 50 52 62 65 86 100 124 130 155 172 215 260 310 325 403 430 559 620 650 775 806 860 1075 1118 1300 1333 1550 1612 2015 2150 2236 2666 2795 3100 4030 4300 5332 5590 6665 8060 10075 11180 13330 13469 13975 17329 20150 26660 26938 27950 33325 34658 40300 53876 55900 66650 67345 69316 86645 133300 134690 173290 175097 269380 336725 346580 350194 417539 433225 579167 673450 700388 835078 866450 875485 1158334 1346900 1670156 1732900 1750970 2087695 2316668 2895835 3501940 4175390 4377425 5428007 5791670 7529171 8350780 8754850 10438475 10856014 11583340 14479175 15058342 17509700 17954177 20876950 21712028 27140035 28958350 30116684 35908354 37645855 41753900 54280070 57916700 71816708 75291710 89770885 108560140 135700175 150583420 179541770 188229275 233404301 271400350 359083540 376458550 448854425 466808602 542800700 752917100 897708850 933617204 1167021505 1795417700 2334043010 4668086020 5835107525 11670215050 23340430100