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131134105648 = 247132913922343
BaseRepresentation
bin111101000100000110…
…0111010100000110000
3110112110221221210002201
41322020030322200300
54122030312340043
6140124150552544
712321424335550
oct1721014724060
9415427853081
10131134105648
1150682869527
12214b8668754
13c49ab37170
1464bdd65160
1536276d4c4d
hex1e8833a830

131134105648 has 160 divisors (see below), whose sum is σ = 325829145600. Its totient is φ = 49725785088.

The previous prime is 131134105639. The next prime is 131134105799. The reversal of 131134105648 is 846501431131.

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, 5857965 + ... + 5880307.

It is an arithmetic number, because the mean of its divisors is an integer number (2036432160).

Almost surely, 2131134105648 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 131134105648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162914572800).

131134105648 is an abundant number, since it is smaller than the sum of its proper divisors (194695039952).

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

131134105648 is a wasteful number, since it uses less digits than its factorization.

131134105648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22539 (or 22533 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 131134105648 its reverse (846501431131), we get a palindrome (977635536779).

The spelling of 131134105648 in words is "one hundred thirty-one billion, one hundred thirty-four million, one hundred five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 139 182 203 208 232 278 364 377 406 464 556 728 754 812 973 1112 1456 1508 1624 1807 1946 2224 2639 3016 3248 3614 3892 4031 5278 6032 7228 7784 8062 10556 12649 14456 15568 16124 21112 22343 25298 28217 28912 32248 42224 44686 50596 52403 56434 64496 89372 101192 104806 112868 156401 178744 202384 209612 225736 290459 312802 357488 366821 419224 451472 580918 625604 647947 733642 838448 1161836 1251208 1295894 1467284 2033213 2323672 2502416 2591788 2934568 3105677 4066426 4535629 4647344 5183576 5869136 6211354 8132852 8423311 9071258 10367152 12422708 16265704 16846622 18142516 21739739 24845416 32531408 33693244 36285032 40373801 43479478 49690832 58963177 67386488 72570064 80747602 86958956 90064633 117926354 134772976 161495204 173917912 180129266 235852708 282616607 322990408 347835824 360258532 471705416 565233214 630452431 645980816 720517064 943410832 1130466428 1170840229 1260904862 1441034128 2260932856 2341680458 2521809724 4521865712 4683360916 5043619448 8195881603 9366721832 10087238896 16391763206 18733443664 32783526412 65567052824 131134105648