Search a number
-
+
103202233332 = 223112238574091
BaseRepresentation
bin110000000011101010…
…1010001101111110100
3100212101100012122120020
41200013111101233310
53142324232431312
6115224354005140
710312306336512
oct1400725215764
9325340178506
10103202233332
113a849a74430
12180022767b0
139969080973
144dd046b4b2
152a4042978c
hex1807551bf4

103202233332 has 96 divisors (see below), whose sum is σ = 264247087104. Its totient is φ = 31089235200.

The previous prime is 103202233307. The next prime is 103202233333. The reversal of 103202233332 is 233332202301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202233333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25224607 + ... + 25228697.

It is an arithmetic number, because the mean of its divisors is an integer number (2752573824).

Almost surely, 2103202233332 is an apocalyptic number.

103202233332 is a gapful number since it is divisible by the number (12) 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 103202233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132123543552).

103202233332 is an abundant number, since it is smaller than the sum of its proper divisors (161044853772).

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

103202233332 is a wasteful number, since it uses less digits than its factorization.

103202233332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 103202233332 its reverse (233332202301), we get a palindrome (336534435633).

The spelling of 103202233332 in words is "one hundred three billion, two hundred two million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 857 892 1338 1714 2453 2571 2676 3428 4091 4906 5142 7359 8182 9427 9812 10284 12273 14718 16364 18854 24546 28281 29436 37708 45001 49092 56562 90002 113124 135003 180004 191111 270006 382222 540012 573333 764444 912293 1146666 1824586 2102221 2293332 2736879 3505987 3649172 4204442 5473758 6306663 7011974 8408884 10035223 10517961 10947516 12613326 14023948 20070446 21035922 25226652 30105669 38565857 40140892 42071844 60211338 77131714 115697571 120422676 154263428 231395142 462790284 781835101 1563670202 2345505303 3127340404 4691010606 8600186111 9382021212 17200372222 25800558333 34400744444 51601116666 103202233332