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131144204342030 = 251137163619319357
BaseRepresentation
bin11101110100011001100011…
…101101101101001100001110
3122012100021010002100022000112
4131310121203231231030032
5114142131312302421110
61142530452112000022
736423566432143655
oct3564314355551416
9565307102308015
10131144204342030
1138871a434796a0
1212860760830012
135823acb47bb59
1424555b037a19c
151026565bbc405
hex774663b6d30e

131144204342030 has 128 divisors (see below), whose sum is σ = 266532814379520. Its totient is φ = 46040609226240.

The previous prime is 131144204342027. The next prime is 131144204342069. The reversal of 131144204342030 is 30243402441131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410491112 + ... + 410810468.

It is an arithmetic number, because the mean of its divisors is an integer number (2082287612340).

Almost surely, 2131144204342030 is an apocalyptic number.

131144204342030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131144204342030 is an abundant number, since it is smaller than the sum of its proper divisors (135388610037490).

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

131144204342030 is a wasteful number, since it uses less digits than its factorization.

131144204342030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320194.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131144204342030 its reverse (30243402441131), we get a palindrome (161387606783161).

The spelling of 131144204342030 in words is "one hundred thirty-one trillion, one hundred forty-four billion, two hundred four million, three hundred forty-two thousand, thirty".

Divisors: 1 2 5 10 11 22 37 55 74 110 163 185 326 370 407 619 814 815 1238 1630 1793 2035 3095 3586 4070 6031 6190 6809 8965 12062 13618 17930 22903 30155 34045 45806 60310 66341 68090 100897 114515 132682 201794 229030 251933 319357 331705 503866 504485 638714 663410 1008970 1109867 1259665 1596785 2219734 2519330 3193570 3512927 3733189 5549335 7025854 7466378 11098670 11816209 17564635 18665945 23632418 35129270 37331890 41065079 52055191 59081045 82130158 104110382 118162090 129978299 197681983 205325395 259956598 260275955 395363966 410650790 520551910 572607101 649891495 988409915 1145214202 1299782990 1926042067 1976819830 2174501813 2863035505 3852084134 4349003626 5726071010 7314233371 9630210335 10872509065 14628466742 19260420670 21186462737 21745018130 32222163229 36571166855 42372925474 64444326458 73142333710 80456567081 105932313685 160913134162 161110816145 211864627370 322221632290 354443795519 402282835405 708887591038 804565670810 1192220039473 1772218977595 2384440078946 3544437955190 5961100197365 11922200394730 13114420434203 26228840868406 65572102171015 131144204342030