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144100101300100 = 225211219626794699
BaseRepresentation
bin100000110000111011101011…
…010110011001111110000100
3200220012211112211012011101121
4200300323223112121332010
5122341414001413100400
61230250401143203324
742231613562226241
oct4060735326317604
9626184484164347
10144100101300100
1141a07567558200
12141b3694446544
136253772cc604a
1427826a6cda5c8
15119d59354121a
hex830eeb599f84

144100101300100 has 108 divisors (see below), whose sum is σ = 361798436734000. Its totient is φ = 49642140081600.

The previous prime is 144100101300097. The next prime is 144100101300137. The reversal of 144100101300100 is 1003101001441.

144100101300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313167450 + ... + 313627249.

Almost surely, 2144100101300100 is an apocalyptic number.

144100101300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100101300100 is an abundant number, since it is smaller than the sum of its proper divisors (217698335433900).

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

144100101300100 is a wasteful number, since it uses less digits than its factorization.

144100101300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626794754 (or 626794736 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 144100101300100 its reverse (1003101001441), we get a palindrome (145103202301541).

The spelling of 144100101300100 in words is "one hundred forty-four trillion, one hundred billion, one hundred one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 121 190 209 220 242 275 380 418 475 484 550 605 836 950 1045 1100 1210 1900 2090 2299 2420 3025 4180 4598 5225 6050 9196 10450 11495 12100 20900 22990 45980 57475 114950 229900 626794699 1253589398 2507178796 3133973495 6267946990 6894741689 11909099281 12535893980 13789483378 15669867475 23818198562 27578966756 31339734950 34473708445 47636397124 59545496405 62679469900 68947416890 75842158579 119090992810 131000092091 137894833780 151684317158 172368542225 238181985620 262000184182 297727482025 303368634316 344737084450 379210792895 524000368364 595454964050 655000460455 689474168900 758421585790 1190909928100 1310000920910 1441001013001 1516843171580 1896053964475 2620001841820 2882002026002 3275002302275 3792107928950 5764004052004 6550004604550 7205005065005 7584215857900 13100009209100 14410010130010 28820020260020 36025025325025 72050050650050 144100101300100