Search a number
-
+
10203203333310 = 23513971913140989
BaseRepresentation
bin1001010001111001111001…
…0011110110110010111110
31100010102020210011010112020
42110132132103312302332
52314132130023131220
633411141545421010
72102104614233421
oct224363623666276
940112223133466
1010203203333310
113284177314a19
12118954819a766
135902090124a0
14273ba28259b8
1512a61e723040
hex9479e4f6cbe

10203203333310 has 128 divisors (see below), whose sum is σ = 26657342490240. Its totient is φ = 2484348420096.

The previous prime is 10203203333263. The next prime is 10203203333321. The reversal of 10203203333310 is 1333330230201.

It is a super-2 number, since 2×102032033333102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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, 72298296 + ... + 72439284.

It is an arithmetic number, because the mean of its divisors is an integer number (208260488205).

Almost surely, 210203203333310 is an apocalyptic number.

10203203333310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203203333310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328671245120).

10203203333310 is an abundant number, since it is smaller than the sum of its proper divisors (16454139156930).

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

10203203333310 is a wasteful number, since it uses less digits than its factorization.

10203203333310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143022.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 10203203333310 its reverse (1333330230201), we get a palindrome (11536533563511).

The spelling of 10203203333310 in words is "ten trillion, two hundred three billion, two hundred three million, three hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 194 195 291 390 485 582 970 1261 1455 1913 2522 2910 3783 3826 5739 6305 7566 9565 11478 12610 18915 19130 24869 28695 37830 49738 57390 74607 124345 140989 149214 185561 248690 281978 371122 373035 422967 556683 704945 746070 845934 927805 1113366 1409890 1832857 1855610 2114835 2412293 2783415 3665714 4229670 4824586 5498571 5566830 7236879 9164285 10997142 12061465 13675933 14473758 18328570 24122930 27351866 27492855 36184395 41027799 54985710 68379665 72368790 82055598 136759330 177787129 205138995 269711957 355574258 410277990 533361387 539423914 809135871 888935645 1066722774 1348559785 1618271742 1777871290 2666806935 2697119570 3506255441 4045679355 5333613870 7012510882 8091358710 10518766323 17531277205 21037532646 26162059829 35062554410 52324119658 52593831615 78486179487 105187663230 130810299145 156972358974 261620598290 340106777777 392430897435 680213555554 784861794870 1020320333331 1700533888885 2040640666662 3401067777770 5101601666655 10203203333310