Search a number
-
+
105141531031450 = 25237347367744543
BaseRepresentation
bin10111111010000000101011…
…100110111011011110011010
3111210021102200002000222202121
4113322000223212323132122
5102240114323421001300
61011341204052251454
731101140103624304
oct2772005346733632
9453242602028677
10105141531031450
1130557300262421
12b961172010b8a
134688a5b037a64
141bd6c3d286974
15c24e8c33b81a
hex5fa02b9bb79a

105141531031450 has 96 divisors (see below), whose sum is σ = 201486859444224. Its totient is φ = 40790009975040.

The previous prime is 105141531031421. The next prime is 105141531031457. The reversal of 105141531031450 is 54130135141501.

It is a happy number.

It is a super-2 number, since 2×1051415310314502 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105141531031457) 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, 2360427879 + ... + 2360472421.

It is an arithmetic number, because the mean of its divisors is an integer number (2098821452544).

Almost surely, 2105141531031450 is an apocalyptic number.

105141531031450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105141531031450 is a deficient number, since it is larger than the sum of its proper divisors (96345328412774).

105141531031450 is a wasteful number, since it uses less digits than its factorization.

105141531031450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48616 (or 48611 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 105141531031450 its reverse (54130135141501), we get a palindrome (159271666172951).

The spelling of 105141531031450 in words is "one hundred five trillion, one hundred forty-one billion, five hundred thirty-one million, thirty-one thousand, four hundred fifty".

Divisors: 1 2 5 10 25 37 50 74 185 347 370 694 925 1735 1850 3470 3677 7354 8675 12839 17350 18385 25678 36770 44543 64195 89086 91925 128390 136049 183850 222715 272098 320975 445430 641950 680245 1113575 1275919 1360490 1648091 2227150 2551838 3296182 3401225 6379595 6802450 8240455 12759190 15456421 16480910 30912842 31897975 41202275 47209003 63795950 77282105 82404550 94418006 154564210 163784611 236045015 327569222 386410525 472090030 571887577 772821050 818923055 1143775154 1180225075 1637846110 2360450150 2859437885 4094615275 5718875770 6060030607 8189230550 12120061214 14297189425 28594378850 30300153035 56833260017 60600306070 113666520034 151500765175 284166300085 303001530350 568332600170 1420831500425 2102830620629 2841663000850 4205661241258 10514153103145 21028306206290 52570765515725 105141531031450