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130132154112 = 2832343117093
BaseRepresentation
bin111100100110001111…
…0110001011100000000
3110102220010121100222120
41321030132301130000
54113002312412422
6135440515404240
712254540026212
oct1711436613400
9412803540876
10130132154112
1150209232504
1221278bb3680
13c36b39592c
146426c6a5b2
1535b976a45c
hex1e4c7b1700

130132154112 has 144 divisors (see below), whose sum is σ = 362259330048. Its totient is φ = 41392721920.

The previous prime is 130132154107. The next prime is 130132154123. The reversal of 130132154112 is 211451231031.

130132154112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 7604638 + ... + 7621730.

It is an arithmetic number, because the mean of its divisors is an integer number (2515689792).

Almost surely, 2130132154112 is an apocalyptic number.

130132154112 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 130132154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181129665024).

130132154112 is an abundant number, since it is smaller than the sum of its proper divisors (232127175936).

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

130132154112 is a wasteful number, since it uses less digits than its factorization.

130132154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17566 (or 17552 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 130132154112 its reverse (211451231031), we get a palindrome (341583385143).

The spelling of 130132154112 in words is "one hundred thirty billion, one hundred thirty-two million, one hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 431 552 736 768 862 1104 1293 1472 1724 2208 2586 2944 3448 4416 5172 5888 6896 8832 9913 10344 13792 17093 17664 19826 20688 27584 29739 34186 39652 41376 51279 55168 59478 68372 79304 82752 102558 110336 118956 136744 158608 165504 205116 237912 273488 317216 331008 393139 410232 475824 546976 634432 786278 820464 951648 1093952 1179417 1268864 1572556 1640928 1903296 2187904 2358834 2537728 3145112 3281856 3806592 4375808 4717668 6290224 6563712 7367083 7613184 9435336 12580448 13127424 14734166 18870672 22101249 25160896 29468332 37741344 44202498 50321792 58936664 75482688 88404996 100643584 117873328 150965376 169442909 176809992 235746656 301930752 338885818 353619984 471493312 508328727 677771636 707239968 942986624 1016657454 1355543272 1414479936 1885973248 2033314908 2711086544 2828959872 4066629816 5422173088 5657919744 8133259632 10844346176 16266519264 21688692352 32533038528 43377384704 65066077056 130132154112