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231341355011100 = 223524618059207563
BaseRepresentation
bin110100100110011101011011…
…010010011000110000011100
31010100010000110210102111120110
4310212131123102120300130
5220310244043340323400
62140004430141450020
766504601303335045
oct6446353322306034
91110100423374513
10231341355011100
1167792354935514
1221b43607870910
139c1151c504019
14411ada4a878cc
151bb2abd6cee50
hexd2675b498c1c

231341355011100 has 144 divisors (see below), whose sum is σ = 670886069293440. Its totient is φ = 61549273132800.

The previous prime is 231341355011027. The next prime is 231341355011113. The reversal of 231341355011100 is 1110553143132.

It is a super-2 number, since 2×2313413550111002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114455919 + ... + 1114663481.

It is an arithmetic number, because the mean of its divisors is an integer number (4658931036760).

Almost surely, 2231341355011100 is an apocalyptic number.

231341355011100 is a gapful number since it is divisible by the number (20) 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 231341355011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335443034646720).

231341355011100 is an abundant number, since it is smaller than the sum of its proper divisors (439544714282340).

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

231341355011100 is a wasteful number, since it uses less digits than its factorization.

231341355011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216100 (or 216093 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 231341355011100 in words is "two hundred thirty-one trillion, three hundred forty-one billion, three hundred fifty-five million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 461 922 1383 1844 2305 2766 4610 5532 6915 8059 9220 11525 13830 16118 23050 24177 27660 32236 34575 40295 46100 48354 69150 80590 96708 120885 138300 161180 201475 207563 241770 402950 415126 483540 604425 622689 805900 830252 1037815 1208850 1245378 2075630 2417700 2490756 3113445 3715199 4151260 5189075 6226890 7430398 10378150 11145597 12453780 14860796 15567225 18575995 20756300 22291194 31134450 37151990 44582388 55727985 62268900 74303980 92879975 95686543 111455970 185759950 191373086 222911940 278639925 287059629 371519900 382746172 478432715 557279850 574119258 956865430 1114559700 1148238516 1435298145 1672750217 1913730860 2392163575 2870596290 3345500434 4784327150 5018250651 5741192580 6691000868 7176490725 8363751085 9568654300 10036501302 14352981450 16727502170 20073002604 25091253255 28705962900 33455004340 41818755425 50182506510 83637510850 100365013020 125456266275 167275021700 250912532550 501825065100 771137850037 1542275700074 2313413550111 3084551400148 3855689250185 4626827100222 7711378500370 9253654200444 11567067750555 15422757000740 19278446250925 23134135501110 38556892501850 46268271002220 57835338752775 77113785003700 115670677505550 231341355011100