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101324410320 = 2435760312149
BaseRepresentation
bin101111001011101100…
…1111100110111010000
3100200112110202100122210
41132113121330313100
53130003022112240
6114314153432120
710214625164040
oct1362731746720
9320473670583
10101324410320
1139a75a96191
121777940b640
13972a0133a3
144c92cd7720
15298064c780
hex179767cdd0

101324410320 has 80 divisors (see below), whose sum is σ = 358977916800. Its totient is φ = 23159864832.

The previous prime is 101324410247. The next prime is 101324410351. The reversal of 101324410320 is 23014423101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1013244103202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30154395 + ... + 30157754.

It is an arithmetic number, because the mean of its divisors is an integer number (4487223960).

Almost surely, 2101324410320 is an apocalyptic number.

101324410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101324410320 is an abundant number, since it is smaller than the sum of its proper divisors (257653506480).

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

101324410320 is a wasteful number, since it uses less digits than its factorization.

101324410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60312172 (or 60312166 counting only the distinct ones).

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

Adding to 101324410320 its reverse (23014423101), we get a palindrome (124338833421).

It can be divided in two parts, 101324410 and 320, that added together give a triangular number (101324730 = T14235).

The spelling of 101324410320 in words is "one hundred one billion, three hundred twenty-four million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 60312149 120624298 180936447 241248596 301560745 361872894 422185043 482497192 603121490 723745788 844370086 904682235 964994384 1206242980 1266555129 1447491576 1688740172 1809364470 2110925215 2412485960 2533110258 2894983152 3377480344 3618728940 4221850430 4824971920 5066220516 6332775645 6754960688 7237457880 8443700860 10132441032 12665551290 14474915760 16887401720 20264882064 25331102580 33774803440 50662205160 101324410320