Search a number
-
+
103203030033300 = 223521973115614933
BaseRepresentation
bin10111011101110011010011…
…111100011110001110010100
3111112102010001121102010111210
4113131303103330132032110
5102011334301142031200
61003254452324301420
730511113202203561
oct2735632374361624
9445363047363453
10103203030033300
112a97a182a579aa
12b6a9531b41870
134578008963712
141b6b0a63ad868
15bde8334b0650
hex5ddcd3f1e394

103203030033300 has 144 divisors (see below), whose sum is σ = 301081565296512. Its totient is φ = 27293061465600.

The previous prime is 103203030033251. The next prime is 103203030033317. The reversal of 103203030033300 is 3330030302301.

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, 15572634 + ... + 21187566.

It is an arithmetic number, because the mean of its divisors is an integer number (2090844203448).

Almost surely, 2103203030033300 is an apocalyptic number.

103203030033300 is a gapful number since it is divisible by the number (10) 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 103203030033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150540782648256).

103203030033300 is an abundant number, since it is smaller than the sum of its proper divisors (197878535263212).

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

103203030033300 is a wasteful number, since it uses less digits than its factorization.

103203030033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615458 (or 5615451 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 103203030033300 its reverse (3330030302301), we get a palindrome (106533060335601).

The spelling of 103203030033300 in words is "one hundred three trillion, two hundred three billion, thirty million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 311 394 591 622 788 933 985 1182 1244 1555 1866 1970 2364 2955 3110 3732 3940 4665 4925 5910 6220 7775 9330 9850 11820 14775 15550 18660 19700 23325 29550 31100 46650 59100 61267 93300 122534 183801 245068 306335 367602 612670 735204 919005 1225340 1531675 1838010 3063350 3676020 4595025 5614933 6126700 9190050 11229866 16844799 18380100 22459732 28074665 33689598 56149330 67379196 84223995 112298660 140373325 168447990 280746650 336895980 421119975 561493300 842239950 1106141801 1684479900 1746244163 2212283602 3318425403 3492488326 4424567204 5238732489 5530709005 6636850806 6984976652 8731220815 10477464978 11061418010 13273701612 16592127015 17462441630 20954929956 22122836020 26193662445 27653545025 33184254030 34924883260 43656104075 52387324890 55307090050 66368508060 82960635075 87312208150 104774649780 110614180100 130968312225 165921270150 174624416300 261936624450 331842540300 344010100111 523873248900 688020200222 1032030300333 1376040400444 1720050500555 2064060600666 3440101001110 4128121201332 5160151501665 6880202002220 8600252502775 10320303003330 17200505005550 20640606006660 25800757508325 34401010011100 51601515016650 103203030033300