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23430133100 = 225211195919001
BaseRepresentation
bin10101110100100010…
…110111010101101100
32020110212221002021102
4111310202313111230
5340441103224400
614432541022232
71456422562643
oct256442672554
966425832242
1023430133100
119a33776870
12465a854978
1322952211aa
1411c3a9835a
15921e769d5
hex5748b756c

23430133100 has 144 divisors (see below), whose sum is σ = 59377449600. Its totient is φ = 7934400000.

The previous prime is 23430133049. The next prime is 23430133141. The reversal of 23430133100 is 133103432.

It is a super-2 number, since 2×234301331002 (a number of 22 digits) contains 22 as substring.

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

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, 1223600 + ... + 1242600.

It is an arithmetic number, because the mean of its divisors is an integer number (412343400).

Almost surely, 223430133100 is an apocalyptic number.

23430133100 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 23430133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29688724800).

23430133100 is an abundant number, since it is smaller than the sum of its proper divisors (35947316500).

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

23430133100 is a wasteful number, since it uses less digits than its factorization.

23430133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23430133100 its reverse (133103432), we get a palindrome (23563236532).

The spelling of 23430133100 in words is "twenty-three billion, four hundred thirty million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 59 76 95 100 110 118 190 209 220 236 275 295 380 418 475 550 590 649 836 950 1045 1100 1121 1180 1298 1475 1900 2090 2242 2596 2950 3245 4180 4484 5225 5605 5900 6490 10450 11210 12331 12980 16225 19001 20900 22420 24662 28025 32450 38002 49324 56050 61655 64900 76004 95005 112100 123310 190010 209011 246620 308275 361019 380020 418022 475025 616550 722038 836044 950050 1045055 1121059 1233100 1444076 1805095 1900100 2090110 2242118 3610190 3971209 4180220 4484236 5225275 5605295 7220380 7942418 9025475 10450550 11210590 12331649 15884836 18050950 19856045 20901100 21300121 22421180 24663298 28026475 36101900 39712090 42600242 49326596 56052950 61658245 79424180 85200484 99280225 106500605 112105900 123316490 198560450 213001210 234301331 246632980 308291225 397120900 426002420 468602662 532503025 616582450 937205324 1065006050 1171506655 1233164900 2130012100 2343013310 4686026620 5857533275 11715066550 23430133100