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131110101232 = 241117237326099
BaseRepresentation
bin111101000011011000…
…1010110000011110000
3110112102021210020020021
41322012301112003300
54122003141214412
6140121532253224
712321013321045
oct1720661260360
9415367706207
10131110101232
1150670263670
12214b0611214
13c495b81176
1464baab71cc
153625542607
hex1e86c560f0

131110101232 has 160 divisors (see below), whose sum is σ = 310383705600. Its totient is φ = 52914216960.

The previous prime is 131110101211. The next prime is 131110101257. The reversal of 131110101232 is 232101011131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5010519 + ... + 5036617.

It is an arithmetic number, because the mean of its divisors is an integer number (1939898160).

Almost surely, 2131110101232 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 131110101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155191852800).

131110101232 is an abundant number, since it is smaller than the sum of its proper divisors (179273604368).

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

131110101232 is a wasteful number, since it uses less digits than its factorization.

131110101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26231 (or 26225 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131110101232 its reverse (232101011131), we get a palindrome (363211112363).

The spelling of 131110101232 in words is "one hundred thirty-one billion, one hundred ten million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 23 34 44 46 68 73 88 92 136 146 176 184 187 253 272 292 368 374 391 506 584 748 782 803 1012 1168 1241 1496 1564 1606 1679 2024 2482 2992 3128 3212 3358 4048 4301 4964 6256 6424 6716 8602 9928 12848 13432 13651 17204 18469 19856 26099 26864 27302 28543 34408 36938 52198 54604 57086 68816 73876 104396 109208 114172 147752 208792 218416 228344 287089 295504 313973 417584 443683 456688 574178 600277 627946 887366 1148356 1200554 1255892 1774732 1905227 2296712 2401108 2511784 3549464 3810454 4593424 4802216 4880513 5023568 6603047 7098928 7620908 9604432 9761026 10204709 13206094 15241816 19522052 20409418 20957497 26412188 30483632 32388859 39044104 40818836 41914994 43820221 52824376 64777718 78088208 81637672 83829988 87640442 105648752 112251799 129555436 163275344 167659976 175280884 224503598 259110872 335319952 350561768 356277449 449007196 482022431 518221744 701123536 712554898 744943757 898014392 964044862 1425109796 1489887514 1796028784 1928089724 2850219592 2979775028 3856179448 5700439184 5959550056 7712358896 8194381327 11919100112 16388762654 32777525308 65555050616 131110101232