Search a number
-
+
10333423100 = 225271113103231
BaseRepresentation
bin10011001111110101…
…11000010111111100
3222200011011021122002
421213322320113330
5132130324014400
64425213041432
7514033434650
oct114772702774
928604137562
1010333423100
114422a477a0
122004786278
13c88abb350
14700556a60
154072beed5
hex267eb85fc

10333423100 has 144 divisors (see below), whose sum is σ = 30107406336. Its totient is φ = 2973024000.

The previous prime is 10333423073. The next prime is 10333423109. The reversal of 10333423100 is 132433301.

It is a super-2 number, since 2×103334231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333423109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48485 + ... + 151715.

Almost surely, 210333423100 is an apocalyptic number.

10333423100 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 10333423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15053703168).

10333423100 is an abundant number, since it is smaller than the sum of its proper divisors (19773983236).

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

10333423100 is a wasteful number, since it uses less digits than its factorization.

10333423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103276 (or 103269 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10333423100 its reverse (132433301), we get a palindrome (10465856401).

The spelling of 10333423100 in words is "ten billion, three hundred thirty-three million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 103231 206462 412924 516155 722617 1032310 1135541 1342003 1445234 2064620 2271082 2580775 2684006 2890468 3613085 4542164 5161550 5368012 5677705 6710015 7226170 7948787 9394021 10323100 11355410 13420030 14452340 14762033 15897574 18065425 18788042 22710820 26840060 28388525 29524066 31795148 33550075 36130850 37576084 39743935 46970105 56777050 59048132 67100150 72261700 73810165 79487870 93940210 103334231 113554100 134200300 147620330 158975740 187880420 198719675 206668462 234850525 295240660 369050825 397439350 413336924 469701050 516671155 738101650 794878700 939402100 1033342310 1476203300 2066684620 2583355775 5166711550 10333423100