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101303144140 = 225112713594733
BaseRepresentation
bin101111001011000100…
…0110100111011001100
3100200110222201220221111
41132112020310323030
53124432101103030
6114312113541404
710214246342362
oct1362610647314
9320428656844
10101303144140
1139a64a90630
1217772274864
1397257a8853
144c9015d632
15297d84b62a
hex1796234ecc

101303144140 has 96 divisors (see below), whose sum is σ = 233630853120. Its totient is φ = 36591609600.

The previous prime is 101303144123. The next prime is 101303144153. The reversal of 101303144140 is 41441303101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 21401214 + ... + 21405946.

It is an arithmetic number, because the mean of its divisors is an integer number (2433654720).

Almost surely, 2101303144140 is an apocalyptic number.

101303144140 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 101303144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116815426560).

101303144140 is an abundant number, since it is smaller than the sum of its proper divisors (132327708980).

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

101303144140 is a wasteful number, since it uses less digits than its factorization.

101303144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101303144140 its reverse (41441303101), we get a palindrome (142744447241).

The spelling of 101303144140 in words is "one hundred one billion, three hundred three million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 359 542 718 1084 1355 1436 1795 2710 2981 3590 3949 4733 5420 5962 7180 7898 9466 11924 14905 15796 18932 19745 23665 29810 39490 47330 52063 59620 78980 94660 97289 104126 194578 208252 260315 389156 486445 520630 972890 1041260 1070179 1282643 1699147 1945780 2140358 2565286 3398294 4280716 5130572 5350895 6413215 6796588 8495735 10701790 12826430 14109073 16991470 18690617 21403580 25652860 28218146 33982940 37381234 56436292 70545365 74762468 93453085 141090730 186906170 282181460 373812340 460468837 920937674 1841875348 2302344185 4604688370 5065157207 9209376740 10130314414 20260628828 25325786035 50651572070 101303144140