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130542451320 = 233537103285451
BaseRepresentation
bin111100110010011101…
…1111011101001111000
3110110221201122121221110
41321210323323221320
54114322331420240
6135545333440320
712300651346041
oct1714473735170
9413851577843
10130542451320
11503a98a0906
12213724a00a0
13c4053a1148
1464655518c8
1535e07b4c80
hex1e64efba78

130542451320 has 128 divisors (see below), whose sum is σ = 406118269440. Its totient is φ = 33541516800.

The previous prime is 130542451309. The next prime is 130542451337. The reversal of 130542451320 is 23154245031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314595 + ... + 600045.

It is an arithmetic number, because the mean of its divisors is an integer number (3172798980).

Almost surely, 2130542451320 is an apocalyptic number.

130542451320 is a gapful number since it is divisible by the number (10) 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 130542451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203059134720).

130542451320 is an abundant number, since it is smaller than the sum of its proper divisors (275575818120).

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

130542451320 is a wasteful number, since it uses less digits than its factorization.

130542451320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285605 (or 285601 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 130542451320 its reverse (23154245031), we get a palindrome (153696696351).

The spelling of 130542451320 in words is "one hundred thirty billion, five hundred forty-two million, four hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 103 111 120 148 185 206 222 296 309 370 412 444 515 555 618 740 824 888 1030 1110 1236 1480 1545 2060 2220 2472 3090 3811 4120 4440 6180 7622 11433 12360 15244 19055 22866 30488 38110 45732 57165 76220 91464 114330 152440 228660 285451 457320 570902 856353 1141804 1427255 1712706 2283608 2854510 3425412 4281765 5709020 6850824 8563530 10561687 11418040 17127060 21123374 29401453 31685061 34254120 42246748 52808435 58802906 63370122 84493496 88204359 105616870 117605812 126740244 147007265 158425305 176408718 211233740 235211624 253480488 294014530 316850610 352817436 422467480 441021795 588029060 633701220 705634872 882043590 1087853761 1176058120 1267402440 1764087180 2175707522 3263561283 3528174360 4351415044 5439268805 6527122566 8702830088 10878537610 13054245132 16317806415 21757075220 26108490264 32635612830 43514150440 65271225660 130542451320