Search a number
-
+
105312727270 = 251753101115727
BaseRepresentation
bin110001000010100100…
…0001011000011100110
3101001211102110211222101
41202011020023003212
53211140024233040
6120214025122314
710415514261202
oct1420510130346
9331742424871
10105312727270
114073231a7a3
12184b102939a
139c143a414a
145150889b02
152b1586609a
hex188520b0e6

105312727270 has 64 divisors (see below), whose sum is σ = 206527262976. Its totient is φ = 38513612800.

The previous prime is 105312727259. The next prime is 105312727283. The reversal of 105312727270 is 72727213501.

It is a super-2 number, since 2×1053127272702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852147 + ... + 967873.

It is an arithmetic number, because the mean of its divisors is an integer number (3226988484).

Almost surely, 2105312727270 is an apocalyptic number.

105312727270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105312727270 is a deficient number, since it is larger than the sum of its proper divisors (101214535706).

105312727270 is a wasteful number, since it uses less digits than its factorization.

105312727270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115905.

The product of its (nonzero) digits is 41160, while the sum is 37.

The spelling of 105312727270 in words is "one hundred five billion, three hundred twelve million, seven hundred twenty-seven thousand, two hundred seventy".

Divisors: 1 2 5 10 17 34 53 85 101 106 170 202 265 505 530 901 1010 1717 1802 3434 4505 5353 8585 9010 10706 17170 26765 53530 91001 115727 182002 231454 455005 578635 910010 1157270 1967359 3934718 6133531 9836795 11688427 12267062 19673590 23376854 30667655 58442135 61335310 104270027 116884270 198703259 208540054 397406518 521350135 619486631 993516295 1042700270 1238973262 1987032590 3097433155 6194866310 10531272727 21062545454 52656363635 105312727270