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215100331104300 = 223522935968869571
BaseRepresentation
bin110000111010000111110010…
…110100111001100000101100
31001012121101112220122121202220
4300322013302310321200230
5211143200434230314200
62041251421122515340
763210325504030365
oct6072076264714054
91035541486577686
10215100331104300
11625a05a1288544
122015ba75805b50
139303b497896a5
143b18ca9508b6c
1519d03bea434a0
hexc3a1f2d3982c

215100331104300 has 144 divisors (see below), whose sum is σ = 645610915756800. Its totient is φ = 55227885574400.

The previous prime is 215100331104277. The next prime is 215100331104319. The reversal of 215100331104300 is 3401133001512.

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, 31311486 + ... + 37558085.

It is an arithmetic number, because the mean of its divisors is an integer number (4483409137200).

Almost surely, 2215100331104300 is an apocalyptic number.

215100331104300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215100331104300 is an abundant number, since it is smaller than the sum of its proper divisors (430510584652500).

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

215100331104300 is a wasteful number, since it uses less digits than its factorization.

215100331104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68869976 (or 68869969 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 215100331104300 its reverse (3401133001512), we get a palindrome (218501464105812).

The spelling of 215100331104300 in words is "two hundred fifteen trillion, one hundred billion, three hundred thirty-one million, one hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 359 435 580 718 725 870 1077 1436 1450 1740 1795 2154 2175 2900 3590 4308 4350 5385 7180 8700 8975 10411 10770 17950 20822 21540 26925 31233 35900 41644 52055 53850 62466 104110 107700 124932 156165 208220 260275 312330 520550 624660 780825 1041100 1561650 3123300 68869571 137739142 206608713 275478284 344347855 413217426 688695710 826434852 1033043565 1377391420 1721739275 1997217559 2066087130 3443478550 3994435118 4132174260 5165217825 5991652677 6886957100 7988870236 9986087795 10330435650 11983305354 19972175590 20660871300 23966610708 24724175989 29958263385 39944351180 49448351978 49930438975 59916526770 74172527967 98896703956 99860877950 119833053540 123620879945 148345055934 149791316925 199721755900 247241759890 296690111868 299582633850 370862639835 494483519780 599165267700 618104399725 717001103681 741725279670 1236208799450 1434002207362 1483450559340 1854313199175 2151003311043 2472417598900 2868004414724 3585005518405 3708626398350 4302006622086 7170011036810 7417252796700 8604013244172 10755016555215 14340022073620 17925027592025 21510033110430 35850055184050 43020066220860 53775082776075 71700110368100 107550165552150 215100331104300