Search a number
-
+
142413302100 = 223522332576337
BaseRepresentation
bin1000010010100001111…
…1101000100101010100
3111121121000202022212110
42010220133220211110
54313130301131400
6145231311151020
713201064044326
oct2045037504524
9447530668773
10142413302100
1155440661793
1223725b15470
13105778574c4
146c6dd51616
153a87a23e50
hex21287e8954

142413302100 has 144 divisors (see below), whose sum is σ = 430164217728. Its totient is φ = 36308828160.

The previous prime is 142413302089. The next prime is 142413302219. The reversal of 142413302100 is 1203314241.

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, 22470132 + ... + 22476468.

It is an arithmetic number, because the mean of its divisors is an integer number (2987251512).

Almost surely, 2142413302100 is an apocalyptic number.

142413302100 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 142413302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215082108864).

142413302100 is an abundant number, since it is smaller than the sum of its proper divisors (287750915628).

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

142413302100 is a wasteful number, since it uses less digits than its factorization.

142413302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9634 (or 9627 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 142413302100 its reverse (1203314241), we get a palindrome (143616616341).

The spelling of 142413302100 in words is "one hundred forty-two billion, four hundred thirteen million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3257 3450 6337 6514 6900 9771 12674 13028 16285 19011 19542 25348 31685 32570 38022 39084 48855 63370 65140 74911 76044 81425 95055 97710 126740 145751 149822 158425 162850 190110 195420 224733 244275 291502 299644 316850 325700 374555 380220 437253 449466 475275 488550 583004 633700 728755 749110 874506 898932 950550 977100 1123665 1457510 1498220 1749012 1872775 1901100 2186265 2247330 2915020 3643775 3745550 4372530 4494660 5618325 7287550 7491100 8745060 10931325 11236650 14575100 20639609 21862650 22473300 41279218 43725300 61918827 82558436 103198045 123837654 206396090 247675308 309594135 412792180 474711007 515990225 619188270 949422014 1031980450 1238376540 1424133021 1547970675 1898844028 2063960900 2373555035 2848266042 3095941350 4747110070 5696532084 6191882700 7120665105 9494220140 11867775175 14241330210 23735550350 28482660420 35603325525 47471100700 71206651050 142413302100