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202031310131100 = 223252239759966673
BaseRepresentation
bin101101111011111100010100…
…011110010100111110011100
3222111100000010101000100220200
4231323330110132110332130
5202440040110343143400
61553403522543143500
760361165126455612
oct5573742436247634
9874300111010820
10202031310131100
1159411aa769503a
121a7ab030ba4b90
13889661745c738
1437c65209196b2
151855470bd7b00
hexb7bf14794f9c

202031310131100 has 108 divisors (see below), whose sum is σ = 660788783696496. Its totient is φ = 51532624028160.

The previous prime is 202031310131023. The next prime is 202031310131111. The reversal of 202031310131100 is 1131013130202.

202031310131100 is a `hidden beast` number, since 20 + 20 + 3 + 1 + 310 + 1 + 311 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4879962637 + ... + 4880004036.

Almost surely, 2202031310131100 is an apocalyptic number.

202031310131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202031310131100 is an abundant number, since it is smaller than the sum of its proper divisors (458757473565396).

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

202031310131100 is a wasteful number, since it uses less digits than its factorization.

202031310131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759966716 (or 9759966706 counting only the distinct ones).

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

Adding to 202031310131100 its reverse (1131013130202), we get a palindrome (203162323261302).

The spelling of 202031310131100 in words is "two hundred two trillion, thirty-one billion, three hundred ten million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 9759966673 19519933346 29279900019 39039866692 48799833365 58559800038 87839700057 97599666730 117119600076 146399500095 175679400114 195199333460 224479233479 243999166825 292799000190 351358800228 439198500285 448958466958 487998333650 585598000380 673437700437 731997500475 878397000570 897916933916 975996667300 1122396167395 1346875400874 1463995000950 1756794001140 2020313101311 2195992501425 2244792334790 2693750801748 2927990001900 3367188502185 4040626202622 4391985002850 4489584669580 5611980836975 6734377004370 8081252405244 8783970005700 10101565506555 11223961673950 13468754008740 16835942510925 20203131013110 22447923347900 33671885021850 40406262026220 50507827532775 67343770043700 101015655065550 202031310131100