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101344224420 = 223251493778681
BaseRepresentation
bin101111001100010010…
…1100010010010100100
3100200120212001000111100
41132120211202102210
53130023110140140
6114320142240100
710215255460065
oct1363045422244
9320525030440
10101344224420
1139a8619987a
1217783b86030
13973115ccca
144c957b456c
152982263530
hex17989624a4

101344224420 has 72 divisors (see below), whose sum is σ = 309474055800. Its totient is φ = 26843742720.

The previous prime is 101344224419. The next prime is 101344224433. The reversal of 101344224420 is 24422443101.

101344224420 is a `hidden beast` number, since 1 + 0 + 13 + 4 + 4 + 224 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7851377664 + 93492846756 = 88608^2 + 305766^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1862521 + ... + 1916160.

It is an arithmetic number, because the mean of its divisors is an integer number (4298250775).

Almost surely, 2101344224420 is an apocalyptic number.

101344224420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101344224420 is an abundant number, since it is smaller than the sum of its proper divisors (208129831380).

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

101344224420 is a wasteful number, since it uses less digits than its factorization.

101344224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778845 (or 3778840 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 101344224420 its reverse (24422443101), we get a palindrome (125766667521).

The spelling of 101344224420 in words is "one hundred one billion, three hundred forty-four million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 5364 6705 8940 13410 26820 3778681 7557362 11336043 15114724 18893405 22672086 34008129 37786810 45344172 56680215 68016258 75573620 113360430 136032516 170040645 226720860 340081290 563023469 680162580 1126046938 1689070407 2252093876 2815117345 3378140814 5067211221 5630234690 6756281628 8445352035 10134422442 11260469380 16890704070 20268844884 25336056105 33781408140 50672112210 101344224420