Search a number
-
+
3111133432350 = 2352149226761403
BaseRepresentation
bin101101010001011110000…
…000001100101000011110
3102000102101020102120201010
4231101132000030220132
5401433100124313400
610341122430400050
7440525533563036
oct55213600145036
912012336376633
103111133432350
11a9a473796339
12422b60360026
131974bcab4b28
14aa81883c8c6
1555ddb0c8450
hex2d45e00ca1e

3111133432350 has 96 divisors (see below), whose sum is σ = 7770946377600. Its totient is φ = 823690637440.

The previous prime is 3111133432343. The next prime is 3111133432367. The reversal of 3111133432350 is 532343311113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 50636749 + ... + 50698151.

It is an arithmetic number, because the mean of its divisors is an integer number (80947358100).

Almost surely, 23111133432350 is an apocalyptic number.

3111133432350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111133432350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885473188800).

3111133432350 is an abundant number, since it is smaller than the sum of its proper divisors (4659812945250).

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

3111133432350 is a wasteful number, since it uses less digits than its factorization.

3111133432350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63834 (or 63829 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 3111133432350 its reverse (532343311113), we get a palindrome (3643476743463).

The spelling of 3111133432350 in words is "three trillion, one hundred eleven billion, one hundred thirty-three million, four hundred thirty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 745 894 1490 2235 2267 3725 4470 4534 6801 7450 11175 11335 13602 22350 22670 34005 56675 61403 68010 113350 122806 170025 184209 307015 337783 340050 368418 614030 675566 921045 1013349 1535075 1688915 1842090 2026698 3070150 3377830 4605225 5066745 8444575 9149047 9210450 10133490 16889150 18298094 25333725 27447141 45745235 50667450 54894282 91490470 137235705 139200601 228726175 274471410 278401202 417601803 457452350 686178525 696003005 835203606 1372357050 1392006010 2088009015 3480015025 4176018030 6960030050 10440045075 20740889549 20880090150 41481779098 62222668647 103704447745 124445337294 207408895490 311113343235 518522238725 622226686470 1037044477450 1555566716175 3111133432350