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130443022234420 = 22572733427353201
BaseRepresentation
bin11101101010001100100010…
…000000001111001100110100
3122002212020020111111121111021
4131222030202000033030310
5114044134302143000140
61141232410325550524
736322124456442400
oct3552144200171464
9562766214447437
10130443022234420
1138621636455065
1212768894275444
1357a295514376c
14242d694082100
1510131c7e60b4a
hex76a32200f334

130443022234420 has 144 divisors (see below), whose sum is σ = 323034284070288. Its totient is φ = 44108557516800.

The previous prime is 130443022234411. The next prime is 130443022234433. The reversal of 130443022234420 is 24432220344031.

It can be written as a sum of positive squares in 8 ways, for example, as 15826170716944 + 114616851517476 = 3978212^2 + 10705926^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2451863820 + ... + 2451917020.

It is an arithmetic number, because the mean of its divisors is an integer number (2243293639377).

Almost surely, 2130443022234420 is an apocalyptic number.

130443022234420 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 130443022234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161517142035144).

130443022234420 is an abundant number, since it is smaller than the sum of its proper divisors (192591261835868).

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

130443022234420 is a wasteful number, since it uses less digits than its factorization.

130443022234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87570 (or 87561 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 130443022234420 its reverse (24432220344031), we get a palindrome (154875242578451).

The spelling of 130443022234420 in words is "one hundred thirty trillion, four hundred forty-three billion, twenty-two million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 980 1022 1460 2044 2555 3577 5110 7154 10220 14308 17885 34273 35770 53201 68546 71540 106402 137092 171365 212804 239911 266005 342730 372407 479822 532010 685460 744814 959644 1064020 1199555 1489628 1679377 1862035 2399110 2501929 2606849 3358754 3724070 3883673 4798220 5003858 5213698 6717508 7448140 7767346 8396885 10007716 10427396 12509645 13034245 15534692 16793770 17513503 19418365 25019290 26068490 27185711 33587540 35027006 38836730 50038580 52136980 54371422 70054012 77673460 87567515 108742844 122594521 135928555 175135030 190299977 245189042 271857110 350270060 380599954 490378084 543714220 612972605 761199908 951499885 1225945210 1823357873 1902999770 2451890420 3646715746 3805999540 7293431492 9116789365 12763505111 18233578730 25527010222 36467157460 51054020444 63817525555 89344535777 127635051110 133105124729 178689071554 255270102220 266210249458 357378143108 446722678885 532420498916 665525623645 893445357770 931735873103 1331051247290 1786890715540 1863471746206 2662102494580 3726943492412 4658679365515 6522151111721 9317358731030 13044302223442 18634717462060 26088604446884 32610755558605 65221511117210 130443022234420