Search a number
-
+
10331012200 = 2352172923613
BaseRepresentation
bin10011001111100011…
…01011110001101000
3222122222121210111111
421213301223301220
5132124214342300
64425045240104
7514004104045
oct114761536150
928588553444
1010331012200
114421650413
122003a03034
13c88455b92
147000ca1cc
15406e959ba
hex267c6bc68

10331012200 has 144 divisors (see below), whose sum is σ = 26347035780. Its totient is φ = 3754168320.

The previous prime is 10331012191. The next prime is 10331012203. The reversal of 10331012200 is 221013301.

It can be written as a sum of positive squares in 18 ways, for example, as 1219546084 + 9111466116 = 34922^2 + 95454^2 .

It is not an unprimeable number, because it can be changed into a prime (10331012203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2857594 + ... + 2861206.

Almost surely, 210331012200 is an apocalyptic number.

10331012200 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 10331012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173517890).

10331012200 is an abundant number, since it is smaller than the sum of its proper divisors (16016023580).

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

10331012200 is a wasteful number, since it uses less digits than its factorization.

10331012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10331012200 its reverse (221013301), we get a palindrome (10552025501).

It can be divided in two parts, 1033101 and 2200, that added together give a palindrome (1035301).

The spelling of 10331012200 in words is "ten billion, three hundred thirty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 290 340 425 493 580 680 725 841 850 986 1160 1450 1682 1700 1972 2465 2900 3364 3400 3613 3944 4205 4930 5800 6728 7226 8410 9860 12325 14297 14452 16820 18065 19720 21025 24650 28594 28904 33640 36130 42050 49300 57188 61421 71485 72260 84100 90325 98600 104777 114376 122842 142970 144520 168200 180650 209554 245684 285940 307105 357425 361300 419108 491368 523885 571880 614210 714850 722600 838216 1047770 1228420 1429700 1535525 1781209 2095540 2456840 2619425 2859400 3038533 3071050 3562418 4191080 5238850 6077066 6142100 7124836 8906045 10477700 12154132 12284200 14249672 15192665 17812090 20955400 24308264 30385330 35624180 44530225 51655061 60770660 71248360 75963325 89060450 103310122 121541320 151926650 178120900 206620244 258275305 303853300 356241800 413240488 516550610 607706600 1033101220 1291376525 2066202440 2582753050 5165506100 10331012200