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10202220304020 = 2233587192166877
BaseRepresentation
bin1001010001110110001110…
…1101111001011010010100
31100010022201021102001212000
42110131203231321122110
52314123121344212040
633410500231555300
72102041346514003
oct224354355713224
940108637361760
1010202220304020
113283812432518
121189312b2bb30
135900b0467954
14273b0c054c3a
1512a5b3295130
hex94763b79694

10202220304020 has 96 divisors (see below), whose sum is σ = 31743895948800. Its totient is φ = 2720278795392.

The previous prime is 10202220304019. The next prime is 10202220304037. The reversal of 10202220304020 is 2040302220201.

10202220304020 is a `hidden beast` number, since 10 + 2 + 0 + 2 + 220 + 30 + 402 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10202220303984 and 10202220304002.

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 31 ways as a sum of consecutive naturals, for example, 3624822 + ... + 5791698.

It is an arithmetic number, because the mean of its divisors is an integer number (330665582800).

Almost surely, 210202220304020 is an apocalyptic number.

10202220304020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202220304020 is an abundant number, since it is smaller than the sum of its proper divisors (21541675644780).

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

10202220304020 is a wasteful number, since it uses less digits than its factorization.

10202220304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175614 (or 2175606 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10202220304020 its reverse (2040302220201), we get a palindrome (12242522524221).

The spelling of 10202220304020 in words is "ten trillion, two hundred two billion, two hundred twenty million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 8719 17438 26157 34876 43595 52314 78471 87190 104628 130785 156942 174380 235413 261570 313884 392355 470826 523140 784710 941652 1177065 1569420 2166877 2354130 4333754 4708260 6500631 8667508 10834385 13001262 19501893 21668770 26002524 32503155 39003786 43337540 58505679 65006310 78007572 97509465 117011358 130012620 195018930 234022716 292528395 390037860 585056790 1170113580 18893000563 37786001126 56679001689 75572002252 94465002815 113358003378 170037005067 188930005630 226716006756 283395008445 340074010134 377860011260 510111015201 566790016890 680148020268 850185025335 1020222030402 1133580033780 1700370050670 2040444060804 2550555076005 3400740101340 5101110152010 10202220304020