Search a number
-
+
243513010332 = 2232191607221539
BaseRepresentation
bin1110001011001010000…
…0011010100010011100
3212021112211200122012200
43202302200122202130
512442203312312312
6303511320531500
723410323302304
oct3426240324234
9767484618180
10243513010332
1194300822969
123b240020b90
1319c6a144b77
14bb01076604
1565035880dc
hex38b281a89c

243513010332 has 72 divisors (see below), whose sum is σ = 648350102400. Its totient is φ = 76850646048.

The previous prime is 243513010319. The next prime is 243513010361. The reversal of 243513010332 is 233010315342.

243513010332 is a `hidden beast` number, since 2 + 4 + 351 + 301 + 0 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 243513010296 and 243513010305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988419 + ... + 1209957.

Almost surely, 2243513010332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243513010332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324175051200).

243513010332 is an abundant number, since it is smaller than the sum of its proper divisors (404837092068).

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

243513010332 is a wasteful number, since it uses less digits than its factorization.

243513010332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223175 (or 223170 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 243513010332 its reverse (233010315342), we get a palindrome (476523325674).

The spelling of 243513010332 in words is "two hundred forty-three billion, five hundred thirteen million, ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1607 3214 4821 6428 9642 14463 19284 28926 30533 57852 61066 91599 122132 183198 221539 274797 366396 443078 549594 664617 886156 1099188 1329234 1993851 2658468 3987702 4209241 7975404 8418482 12627723 16836964 25255446 37883169 50510892 75766338 151532676 356013173 712026346 1068039519 1424052692 2136079038 3204118557 4272158076 6408237114 6764250287 12816474228 13528500574 20292750861 27057001148 40585501722 60878252583 81171003444 121756505166 243513010332