Search a number
-
+
231332001102 = 232372412934919
BaseRepresentation
bin1101011101110001110…
…1100011010101001110
3211010002220222020212200
43113130131203111032
512242231443013402
6254134503342330
722466423364666
oct3273435432516
9733086866780
10231332001102
118a11a97a394
1238a007519a6
1318a78644cb7
14b2a73bb1a6
15603deb021c
hex35dc76354e

231332001102 has 96 divisors (see below), whose sum is σ = 518771373120. Its totient is φ = 74445143040.

The previous prime is 231332001091. The next prime is 231332001113. The reversal of 231332001102 is 201100233132.

231332001102 is a `hidden beast` number, since 231 + 3 + 320 + 0 + 110 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (231332001091) and next prime (231332001113).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 47025799 + ... + 47030717.

It is an arithmetic number, because the mean of its divisors is an integer number (5403868470).

Almost surely, 2231332001102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231332001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259385686560).

231332001102 is an abundant number, since it is smaller than the sum of its proper divisors (287439372018).

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

231332001102 is a wasteful number, since it uses less digits than its factorization.

231332001102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231332001102 its reverse (201100233132), we get a palindrome (432432234234).

The spelling of 231332001102 in words is "two hundred thirty-one billion, three hundred thirty-two million, one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 241 293 333 482 586 666 723 879 1446 1758 2169 2637 4338 4919 5274 8917 9838 10841 14757 17834 21682 26751 29514 32523 44271 53502 65046 70613 80253 88542 97569 141226 160506 182003 195138 211839 364006 423678 546009 635517 1092018 1185479 1271034 1441267 1638027 2370958 2612681 2882534 3276054 3556437 4323801 5225362 7112874 7838043 8647602 10669311 12971403 15676086 21338622 23514129 25942806 43862723 47028258 53326879 87725446 106653758 131588169 159980637 263176338 319961274 347345347 394764507 479941911 694690694 789529014 959883822 1042036041 2084072082 3126108123 6252216246 12851777839 25703555678 38555333517 77110667034 115666000551 231332001102