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101053405500 = 22353123154727
BaseRepresentation
bin101111000011101000…
…0001001100100111100
3100122211120210212221020
41132013100021210330
53123424132434000
6114231233104140
710205124526365
oct1360720114474
9318746725836
10101053405500
1139947016263
12177026b8050
1396b5b280c8
144c68d10b6c
152966969ba0
hex178740993c

101053405500 has 96 divisors (see below), whose sum is σ = 294511945728. Its totient is φ = 26925192000.

The previous prime is 101053405441. The next prime is 101053405549. The reversal of 101053405500 is 5504350101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819137 + ... + 1873863.

It is an arithmetic number, because the mean of its divisors is an integer number (3067832768).

Almost surely, 2101053405500 is an apocalyptic number.

101053405500 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 101053405500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147255972864).

101053405500 is an abundant number, since it is smaller than the sum of its proper divisors (193458540228).

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

101053405500 is a wasteful number, since it uses less digits than its factorization.

101053405500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55980 (or 55968 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 101053405500 its reverse (5504350101), we get a palindrome (106557755601).

The spelling of 101053405500 in words is "one hundred one billion, fifty-three million, four hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1231 1500 2462 3693 4924 6155 7386 12310 14772 18465 24620 30775 36930 54727 61550 73860 92325 109454 123100 153875 164181 184650 218908 273635 307750 328362 369300 461625 547270 615500 656724 820905 923250 1094540 1368175 1641810 1846500 2736350 3283620 4104525 5472700 6840875 8209050 13681750 16418100 20522625 27363500 41045250 67368937 82090500 134737874 202106811 269475748 336844685 404213622 673689370 808427244 1010534055 1347378740 1684223425 2021068110 3368446850 4042136220 5052670275 6736893700 8421117125 10105340550 16842234250 20210681100 25263351375 33684468500 50526702750 101053405500