Search a number
-
+
203112122310 = 232513937942839
BaseRepresentation
bin1011110100101001101…
…1010000011111000110
3201102021020021212201200
42331022123100133012
511311433200403220
6233150341403330
720450210360616
oct2751233203706
9642236255650
10203112122310
1179159552809
1233445a09546
13161cbccca76
149b8b552a46
15543b7b4890
hex2f4a6d07c6

203112122310 has 96 divisors (see below), whose sum is σ = 533306592000. Its totient is φ = 53630434368.

The previous prime is 203112122273. The next prime is 203112122363. The reversal of 203112122310 is 13221211302.

203112122310 is a `hidden beast` number, since 2 + 0 + 311 + 21 + 22 + 310 = 666.

It is a super-2 number, since 2×2031121223102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4719871 + ... + 4762709.

It is an arithmetic number, because the mean of its divisors is an integer number (5555277000).

Almost surely, 2203112122310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203112122310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266653296000).

203112122310 is an abundant number, since it is smaller than the sum of its proper divisors (330194469690).

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

203112122310 is a wasteful number, since it uses less digits than its factorization.

203112122310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43370 (or 43367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203112122310 its reverse (13221211302), we get a palindrome (216333333612).

The spelling of 203112122310 in words is "two hundred three billion, one hundred twelve million, one hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 379 417 695 758 834 1137 1251 1390 1895 2085 2274 2502 3411 3790 4170 5685 6255 6822 11370 12510 17055 34110 42839 52681 85678 105362 128517 158043 214195 257034 263405 316086 385551 428390 474129 526810 642585 771102 790215 948258 1285170 1580430 1927755 2370645 3855510 4741290 5954621 11909242 16235981 17863863 29773105 32471962 35727726 48707943 53591589 59546210 81179905 89319315 97415886 107183178 146123829 162359810 178638630 243539715 267957945 292247658 487079430 535915890 730619145 1461238290 2256801359 4513602718 6770404077 11284006795 13540808154 20311212231 22568013590 33852020385 40622424462 67704040770 101556061155 203112122310