Search a number
-
+
203033000123310 = 235713718473820849
BaseRepresentation
bin101110001010100001001101…
…110110011001101110101110
3222121212202122212110021212210
4232022201031312121232232
5203102443041012421220
61555452023404111250
760523436005065630
oct5612411566315656
9877782585407783
10203033000123310
11597688a2568105
121a9311a4b35526
138939c118ac566
14381cbc75a0a50
15187154a9c76e0
hexb8a84dd99bae

203033000123310 has 128 divisors (see below), whose sum is σ = 561259267430400. Its totient is φ = 46043847143424.

The previous prime is 203033000123279. The next prime is 203033000123351. The reversal of 203033000123310 is 13321000330302.

It is a super-2 number, since 2×2030330001233102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51227766 + ... + 55048614.

It is an arithmetic number, because the mean of its divisors is an integer number (4384838026800).

Almost surely, 2203033000123310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203033000123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280629633715200).

203033000123310 is an abundant number, since it is smaller than the sum of its proper divisors (358226267307090).

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

203033000123310 is a wasteful number, since it uses less digits than its factorization.

203033000123310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822850.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 203033000123310 its reverse (13321000330302), we get a palindrome (216354000453612).

The spelling of 203033000123310 in words is "two hundred three trillion, thirty-three billion, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 959 1370 1847 1918 2055 2877 3694 4110 4795 5541 5754 9235 9590 11082 12929 14385 18470 25858 27705 28770 38787 55410 64645 77574 129290 193935 253039 387870 506078 759117 1265195 1518234 1771273 2530390 3542546 3795585 3820849 5313819 7591170 7641698 8856365 10627638 11462547 17712730 19104245 22925094 26569095 26745943 38208490 53138190 53491886 57312735 80237829 114625470 133729715 160475658 267459430 401189145 523456313 802378290 1046912626 1570368939 2617281565 3140737878 3664194191 5234563130 7057108103 7328388382 7851844695 10992582573 14114216206 15703689390 18320970955 21171324309 21985165146 35285540515 36641941910 42342648618 49399756721 54962912865 70571081030 98799513442 105856621545 109925825730 148199270163 211713243090 246998783605 296398540326 493997567210 740996350815 966823810111 1481992701630 1933647620222 2900471430333 4834119050555 5800942860666 6767766670777 9668238101110 13535533341554 14502357151665 20303300012331 29004714303330 33838833353885 40606600024662 67677666707770 101516500061655 203033000123310