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130233320424424 = 23719433451762581
BaseRepresentation
bin11101100111001001001110…
…110011010100001111101000
3122002010011222000112220122201
4131213021032303110033220
5114032220320012040144
61140552210024225544
736301022041454140
oct3547111663241750
9562104860486581
10130233320424424
1138550706227478
121273410b60b2b4
135788c45b50119
14242347d69d920
15100ca02dd11d4
hex76724ecd43e8

130233320424424 has 128 divisors (see below), whose sum is σ = 294507687801600. Its totient is φ = 52742047518720.

The previous prime is 130233320424421. The next prime is 130233320424469. The reversal of 130233320424424 is 424424023332031.

It is not an unprimeable number, because it can be changed into a prime (130233320424421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081004814 + ... + 2081067394.

It is an arithmetic number, because the mean of its divisors is an integer number (2300841310950).

Almost surely, 2130233320424424 is an apocalyptic number.

130233320424424 is a gapful number since it is divisible by the number (14) 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 130233320424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147253843900800).

130233320424424 is an abundant number, since it is smaller than the sum of its proper divisors (164274367377176).

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

130233320424424 is a wasteful number, since it uses less digits than its factorization.

130233320424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67563 (or 67559 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 130233320424424 its reverse (424424023332031), we get a palindrome (554657343756455).

The spelling of 130233320424424 in words is "one hundred thirty trillion, two hundred thirty-three billion, three hundred twenty million, four hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 433 532 866 1064 1732 3031 3464 4517 6062 8227 9034 12124 16454 18068 24248 31619 32908 36136 57589 62581 63238 65816 85823 115178 125162 126476 171646 230356 250324 252952 343292 438067 460712 500648 600761 686584 876134 1189039 1201522 1752268 1955861 2378078 2403044 3504536 3911722 4756156 4806088 7823444 8323273 9512312 13691027 15646888 16646546 27097573 27382054 33293092 37161359 54195146 54764108 66586184 74322718 108390292 109528216 148645436 189683011 216780584 260129513 282678377 297290872 379366022 514853887 520259026 565356754 758732044 1029707774 1040518052 1130713508 1517464088 1978748639 2059415548 2081036104 2261427016 3603977209 3957497278 4118831096 5370889163 7207954418 7914994556 10741778326 14415908836 15829989112 21483556652 28831817672 37596224141 42967113304 75192448282 122399737241 150384896564 244799474482 300769793128 489598948964 856798160687 979197897928 1713596321374 2325595007579 3427192642748 4651190015158 6854385285496 9302380030316 16279165053053 18604760060632 32558330106106 65116660212212 130233320424424