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101112302103300 = 223352191971000041
BaseRepresentation
bin10110111111011000001010…
…110110010110101100000100
3111021000020112011221220012000
4112333120022312112230010
5101223110443314301200
6555014203401025300
730204060051053205
oct2677301266265404
9437006464856160
10101112302103300
112a2435395aa494
12b4102a9485230
134455b0683bc87
141ad7c0c0975ac
15ba526a2b8300
hex5bf60ad96b04

101112302103300 has 144 divisors (see below), whose sum is σ = 342165607291200. Its totient is φ = 25544160518400.

The previous prime is 101112302103299. The next prime is 101112302103301. The reversal of 101112302103300 is 3301203211101.

101112302103300 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 123 + 0 + 210 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101112302103299) and next prime (101112302103301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101112302103301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985448721 + ... + 985551320.

Almost surely, 2101112302103300 is an apocalyptic number.

101112302103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112302103300 is an abundant number, since it is smaller than the sum of its proper divisors (241053305187900).

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

101112302103300 is a wasteful number, since it uses less digits than its factorization.

101112302103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971000083 (or 1971000070 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101112302103300 its reverse (3301203211101), we get a palindrome (104413505314401).

The spelling of 101112302103300 in words is "one hundred one trillion, one hundred twelve billion, three hundred two million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 1971000041 3942000082 5913000123 7884000164 9855000205 11826000246 17739000369 19710000410 23652000492 29565000615 35478000738 37449000779 39420000820 49275001025 53217001107 59130001230 70956001476 74898001558 88695001845 98550002050 106434002214 112347002337 118260002460 147825003075 149796003116 177390003690 187245003895 197100004100 212868004428 224694004674 266085005535 295650006150 337041007011 354780007380 374490007790 443475009225 449388009348 532170011070 561735011685 591300012300 674082014022 748980015580 886950018450 936225019475 1011123021033 1064340022140 1123470023370 1330425027675 1348164028044 1685205035055 1773900036900 1872450038950 2022246042066 2246940046740 2660850055350 2808675058425 3370410070110 3744900077900 4044492084132 5055615105165 5321700110700 5617350116850 6740820140220 8426025175275 10111230210330 11234700233700 16852050350550 20222460420660 25278075525825 33704100701100 50556151051650 101112302103300