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130322231222020 = 22537257823383233
BaseRepresentation
bin11101101000011100000010…
…010011000101111100000100
3122002102200110100220101222021
4131220130002103011330010
5114040144412143101040
61141101112335212524
736310320243665365
oct3550340223057404
9562380410811867
10130322231222020
1138585391038692
12127493a3677144
135794445102326
1424278b5a6db6c
15100eea880b24a
hex7687024c5f04

130322231222020 has 96 divisors (see below), whose sum is σ = 282204686560608. Its totient is φ = 50515905871872.

The previous prime is 130322231222009. The next prime is 130322231222033. The reversal of 130322231222020 is 20222132223031.

It can be written as a sum of positive squares in 16 ways, for example, as 8820816840196 + 121501414381824 = 2969986^2 + 11022768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565710324 + ... + 1565793556.

It is an arithmetic number, because the mean of its divisors is an integer number (2939632151673).

Almost surely, 2130322231222020 is an apocalyptic number.

130322231222020 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 130322231222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141102343280304).

130322231222020 is an abundant number, since it is smaller than the sum of its proper divisors (151882455338588).

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

130322231222020 is a wasteful number, since it uses less digits than its factorization.

130322231222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91769 (or 91767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 130322231222020 its reverse (20222132223031), we get a palindrome (150544363445051).

The spelling of 130322231222020 in words is "one hundred thirty trillion, three hundred twenty-two billion, two hundred thirty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 257 370 514 740 1028 1285 2570 5140 8233 9509 16466 19018 32932 38036 41165 47545 82330 83233 95090 164660 166466 190180 304621 332932 416165 609242 832330 1218484 1523105 1664660 2115881 3046210 3079621 4231762 6092420 6159242 8463524 10579405 12318484 15398105 21158810 21390881 30796210 42317620 42781762 61592420 78287597 85563524 106954405 156575194 213908810 313150388 391437985 427817620 685257289 782875970 791462597 1370514578 1565751940 1582925194 2741029156 3165850388 3426286445 3957312985 6852572890 7914625970 13705145780 15829251940 25354519693 50709039386 101418078772 126772598465 176111123273 253545196930 352222246546 507090393860 704444493092 880555616365 1761111232730 3522222465460 6516111561101 13032223122202 26064446244404 32580557805505 65161115611010 130322231222020