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131034534552 = 23327329578431
BaseRepresentation
bin111101000001001000…
…1000101001010011000
3110112020000121001020100
41322002101011022120
54121324320101202
6140110232455400
712316105111035
oct1720221051230
9415200531210
10131034534552
1150631640269
122148b24a560
13c48331395c
1464b0a4638c
15361dab741c
hex1e82445298

131034534552 has 96 divisors (see below), whose sum is σ = 359910982080. Its totient is φ = 43060170240.

The previous prime is 131034534509. The next prime is 131034534557. The reversal of 131034534552 is 255435430131.

131034534552 is a `hidden beast` number, since 1 + 31 + 0 + 3 + 45 + 34 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131034534557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15537777 + ... + 15546207.

It is an arithmetic number, because the mean of its divisors is an integer number (3749072730).

Almost surely, 2131034534552 is an apocalyptic number.

131034534552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131034534552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179955491040).

131034534552 is an abundant number, since it is smaller than the sum of its proper divisors (228876447528).

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

131034534552 is a wasteful number, since it uses less digits than its factorization.

131034534552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11473 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 131034534552 its reverse (255435430131), we get a palindrome (386469964683).

The spelling of 131034534552 in words is "one hundred thirty-one billion, thirty-four million, five hundred thirty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 2957 5256 5914 8431 8871 11828 16862 17742 23656 25293 26613 33724 35484 50586 53226 67448 70968 75879 101172 106452 151758 202344 212904 215861 303516 431722 607032 615463 647583 863444 1230926 1295166 1726888 1846389 1942749 2461852 2590332 3692778 3885498 4923704 5180664 5539167 7385556 7770996 11078334 14771112 15541992 22156668 24930467 44313336 49860934 74791401 99721868 149582802 199443736 224374203 299165604 448748406 598331208 897496812 1794993624 1819924091 3639848182 5459772273 7279696364 10919544546 14559392728 16379316819 21839089092 32758633638 43678178184 65517267276 131034534552