Search a number
-
+
23300101000 = 2353119412251
BaseRepresentation
bin10101101100110010…
…110101001110001000
32020010211020202202201
4111230302311032020
5340204311213000
614412014005544
71453253406421
oct255462651610
966124222681
1023300101000
119977332820
1246231a68b4
1322742c3c17
1411b06ca648
1591583d96a
hex56ccb5388

23300101000 has 128 divisors (see below), whose sum is σ = 59568462720. Its totient is φ = 8460000000.

The previous prime is 23300100977. The next prime is 23300101001. The reversal of 23300101000 is 10100332.

It is a super-2 number, since 2×233001010002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23300101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10349875 + ... + 10352125.

It is an arithmetic number, because the mean of its divisors is an integer number (465378615).

Almost surely, 223300101000 is an apocalyptic number.

23300101000 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 23300101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29784231360).

23300101000 is an abundant number, since it is smaller than the sum of its proper divisors (36268361720).

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

23300101000 is a wasteful number, since it uses less digits than its factorization.

23300101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 23300101000 its reverse (10100332), we get a palindrome (23310201332).

The spelling of 23300101000 in words is "twenty-three billion, three hundred million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 941 1000 1100 1375 1882 2200 2251 2750 3764 4502 4705 5500 7528 9004 9410 10351 11000 11255 18008 18820 20702 22510 23525 24761 37640 41404 45020 47050 49522 51755 56275 82808 90040 94100 99044 103510 112550 117625 123805 188200 198088 207020 225100 235250 247610 258775 281375 414040 450200 470500 495220 517550 562750 619025 941000 990440 1035100 1125500 1238050 1293875 2070200 2118191 2251000 2476100 2587750 3095125 4236382 4952200 5175500 6190250 8472764 10351000 10590955 12380500 16945528 21181910 23300101 24761000 42363820 46600202 52954775 84727640 93200404 105909550 116500505 186400808 211819100 233001010 264773875 423638200 466002020 529547750 582502525 932004040 1059095500 1165005050 2118191000 2330010100 2912512625 4660020200 5825025250 11650050500 23300101000