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101334221430 = 235132083124739
BaseRepresentation
bin101111001011111111…
…1011000001001110110
3100200120011012210222020
41132113333120021312
53130013030041210
6114315144014010
710215104445621
oct1362777301166
9320504183866
10101334221430
1139a80587442
1217780761306
13972c069c90
144c9432cdb8
152981439770
hex1797fd8276

101334221430 has 64 divisors (see below), whose sum is σ = 262037825280. Its totient is φ = 24931633536.

The previous prime is 101334221419. The next prime is 101334221431. The reversal of 101334221430 is 34122433101.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101334221430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334221431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750001 + ... + 874739.

It is an arithmetic number, because the mean of its divisors is an integer number (4094341020).

Almost surely, 2101334221430 is an apocalyptic number.

101334221430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101334221430 is an abundant number, since it is smaller than the sum of its proper divisors (160703603850).

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

101334221430 is a wasteful number, since it uses less digits than its factorization.

101334221430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126845.

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

Adding to 101334221430 its reverse (34122433101), we get a palindrome (135456654531).

The spelling of 101334221430 in words is "one hundred one billion, three hundred thirty-four million, two hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2083 4166 6249 10415 12498 20830 27079 31245 54158 62490 81237 124739 135395 162474 249478 270790 374217 406185 623695 748434 812370 1247390 1621607 1871085 3243214 3742170 4864821 8108035 9729642 16216070 24324105 48648210 259831337 519662674 779494011 1299156685 1558988022 2598313370 3377807381 3897470055 6755614762 7794940110 10133422143 16889036905 20266844286 33778073810 50667110715 101334221430