Search a number
-
+
1001020020210 = 2325715391103237
BaseRepresentation
bin11101001000100010111…
…00010101010111110010
310112200210210202211011100
432210101130111113302
5112400042111121320
62043510125025230
7132215131531620
oct16442134252762
93480723684140
101001020020210
11356591783201
121420076b5216
137351b6c53b2
1436641ac6510
151b08b09e790
hexe9117155f2

1001020020210 has 96 divisors (see below), whose sum is σ = 2974681562112. Its totient is φ = 228787493760.

The previous prime is 1001020020167. The next prime is 1001020020211. The reversal of 1001020020210 is 120200201001.

1001020020210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10010200202102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001020020192 and 1001020020201.

It is not an unprimeable number, because it can be changed into a prime (1001020020211) 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, 9644712 + ... + 9747948.

It is an arithmetic number, because the mean of its divisors is an integer number (30986266272).

Almost surely, 21001020020210 is an apocalyptic number.

1001020020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001020020210 is an abundant number, since it is smaller than the sum of its proper divisors (1973661541902).

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

1001020020210 is a wasteful number, since it uses less digits than its factorization.

1001020020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118648 (or 118645 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001020020210 its reverse (120200201001), we get a palindrome (1121220221211).

The spelling of 1001020020210 in words is "one trillion, one billion, twenty million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 15391 30782 46173 76955 92346 103237 107737 138519 153910 206474 215474 230865 277038 309711 323211 461730 516185 538685 619422 646422 692595 722659 929133 969633 1032370 1077370 1385190 1445318 1548555 1616055 1858266 1939266 2167977 3097110 3232110 3613295 4335954 4645665 4848165 6503931 7226590 9291330 9696330 10839885 13007862 21679770 32519655 65039310 1588920667 3177841334 4766762001 7944603335 9533524002 11122444669 14300286003 15889206670 22244889338 23833810005 28600572006 33367334007 47667620010 55612223345 66734668014 71501430015 100102002021 111224446690 143002860030 166836670035 200204004042 333673340070 500510010105 1001020020210