Search a number
-
+
23000121103020 = 22353118736602059
BaseRepresentation
bin1010011101011001000100…
…00011000101001010101100
310000102210022222121110012220
411032230202003011022230
511003313222000244040
6120530035413155340
74562463304443015
oct516544203051254
9100383288543186
1023000121103020
117368329829256
1226b56b202bb50
13caab95c35919
145972d727a00c
1529d44504c2d0
hex14eb220c52ac

23000121103020 has 96 divisors (see below), whose sum is σ = 66513272125440. Its totient is φ = 5932345236480.

The previous prime is 23000121102991. The next prime is 23000121103039. The reversal of 23000121103020 is 2030112100032.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 182751 + ... + 6784809.

It is an arithmetic number, because the mean of its divisors is an integer number (692846584640).

Almost surely, 223000121103020 is an apocalyptic number.

23000121103020 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 23000121103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33256636062720).

23000121103020 is an abundant number, since it is smaller than the sum of its proper divisors (43513151022420).

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

23000121103020 is a wasteful number, since it uses less digits than its factorization.

23000121103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603975 (or 6603973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23000121103020 its reverse (2030112100032), we get a palindrome (25030233203052).

The spelling of 23000121103020 in words is "twenty-three trillion, one hundred twenty-one million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1873 3746 5619 7492 9365 11238 18730 22476 28095 37460 56190 58063 112380 116126 174189 232252 290315 348378 580630 696756 870945 1161260 1741890 3483780 6602059 13204118 19806177 26408236 33010295 39612354 66020590 79224708 99030885 132041180 198061770 204663829 396123540 409327658 613991487 818655316 1023319145 1227982974 2046638290 2455965948 3069957435 4093276580 6139914870 12279829740 12365656507 24731313014 37096969521 49462626028 61828282535 74193939042 123656565070 148387878084 185484847605 247313130140 370969695210 383335351717 741939390420 766670703434 1150006055151 1533341406868 1916676758585 2300012110302 3833353517170 4600024220604 5750030275755 7666707034340 11500060551510 23000121103020