Search a number
-
+
1010212000020 = 2233518587100649
BaseRepresentation
bin11101011001101010101…
…00111101000100010100
310120120112102002202222000
432230311110331010110
5113022403233000040
62052030205035300
7132661665214566
oct16546524750424
93516472082860
101010212000020
1135a479379733
12143951b55b30
1374354b822c2
1436c747d3336
151b42804e130
hexeb3553d114

1010212000020 has 96 divisors (see below), whose sum is σ = 3143082096000. Its totient is φ = 269372696832.

The previous prime is 1010212000013. The next prime is 1010212000043. The reversal of 1010212000020 is 200002120101.

1010212000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1010211999966 and 1010212000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9986656 + ... + 10087304.

It is an arithmetic number, because the mean of its divisors is an integer number (32740438500).

Almost surely, 21010212000020 is an apocalyptic number.

1010212000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010212000020 is an abundant number, since it is smaller than the sum of its proper divisors (2132870095980).

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

1010212000020 is a wasteful number, since it uses less digits than its factorization.

1010212000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119254 (or 119246 counting only the distinct ones).

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

Adding to 1010212000020 its reverse (200002120101), we get a palindrome (1210214120121).

The spelling of 1010212000020 in words is "one trillion, ten billion, two hundred twelve million, twenty", and thus it is an aban number.

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 18587 37174 55761 74348 92935 100649 111522 167283 185870 201298 223044 278805 301947 334566 371740 402596 501849 503245 557610 603894 669132 836415 905841 1003698 1006490 1115220 1207788 1509735 1672830 1811682 2007396 2012980 2509245 2717523 3019470 3345660 3623364 4529205 5018490 5435046 6038940 9058410 10036980 10870092 13587615 18116820 27175230 54350460 1870762963 3741525926 5612288889 7483051852 9353814815 11224577778 16836866667 18707629630 22449155556 28061444445 33673733334 37415259260 50510600001 56122888890 67347466668 84184333335 101021200002 112245777780 168368666670 202042400004 252553000005 336737333340 505106000010 1010212000020