Search a number
-
+
31031131100268 = 22313972637797323
BaseRepresentation
bin1110000111000111111111…
…00010111101010001101100
311001212112202212202221012210
413003203333202331101230
513031403224030202033
6145555301013130420
76351632233210425
oct703437742752154
9131775685687183
1031031131100268
119984257587392
12359205b029a10
1314412b921c580
14793cb415464c
1538c2ce5e4d63
hex1c38ff8bd46c

31031131100268 has 96 divisors (see below), whose sum is σ = 79079087678976. Its totient is φ = 9413675661312.

The previous prime is 31031131100267. The next prime is 31031131100273. The reversal of 31031131100268 is 86200113113013.

It is not an unprimeable number, because it can be changed into a prime (31031131100267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81055 + ... + 7878377.

It is an arithmetic number, because the mean of its divisors is an integer number (823740496656).

Almost surely, 231031131100268 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 31031131100268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39539543839488).

31031131100268 is an abundant number, since it is smaller than the sum of its proper divisors (48047956578708).

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

31031131100268 is a wasteful number, since it uses less digits than its factorization.

31031131100268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797703 (or 7797701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 31031131100268 in words is "thirty-one trillion, thirty-one billion, one hundred thirty-one million, one hundred thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 263 291 388 526 582 789 1052 1164 1261 1578 2522 3156 3419 3783 5044 6838 7566 10257 13676 15132 20514 25511 41028 51022 76533 102044 153066 306132 331643 663286 994929 1326572 1989858 3979716 7797323 15594646 23391969 31189292 46783938 93567876 101365199 202730398 304095597 405460796 608191194 756340331 1216382388 1512680662 2050695949 2269020993 3025361324 4101391898 4538041986 6152087847 8202783796 9076083972 9832424303 12304175694 19664848606 24608351388 26659047337 29497272909 39329697212 53318094674 58994545818 79977142011 106636189348 117989091636 159954284022 198917507053 319908568044 397835014106 596752521159 795670028212 1193505042318 2387010084636 2585927591689 5171855183378 7757782775067 10343710366756 15515565550134 31031131100268