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101403431340 = 223510719381839
BaseRepresentation
bin101111001110000011…
…1011001000110101100
3100200201222110001010020
41132130013121012230
53130133234300330
6114330055242140
710216604642031
oct1363407310654
9320658401106
10101403431340
113a006658912
121779b979350
1397404bcca3
144c9d5c7388
15298755b210
hex179c1d91ac

101403431340 has 96 divisors (see below), whose sum is σ = 288071562240. Its totient is φ = 26649071616.

The previous prime is 101403431309. The next prime is 101403431411. The reversal of 101403431340 is 43134304101.

It is a self number, because there is not a number n which added to its sum of digits gives 101403431340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198141 + ... + 1279979.

It is an arithmetic number, because the mean of its divisors is an integer number (3000745440).

Almost surely, 2101403431340 is an apocalyptic number.

101403431340 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 101403431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144035781120).

101403431340 is an abundant number, since it is smaller than the sum of its proper divisors (186668130900).

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

101403431340 is a wasteful number, since it uses less digits than its factorization.

101403431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82151 (or 82149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101403431340 its reverse (43134304101), we get a palindrome (144537735441).

The spelling of 101403431340 in words is "one hundred one billion, four hundred three million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 193 214 321 386 428 535 579 642 772 965 1070 1158 1284 1605 1930 2140 2316 2895 3210 3860 5790 6420 11580 20651 41302 61953 81839 82604 103255 123906 163678 206510 245517 247812 309765 327356 409195 413020 491034 619530 818390 982068 1227585 1239060 1636780 2455170 4910340 8756773 15794927 17513546 26270319 31589854 35027092 43783865 47384781 52540638 63179708 78974635 87567730 94769562 105081276 131351595 157949270 175135460 189539124 236923905 262703190 315898540 473847810 525406380 947695620 1690057189 3380114378 5070171567 6760228756 8450285945 10140343134 16900571890 20280686268 25350857835 33801143780 50701715670 101403431340