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1001120210220 = 2235131967551971
BaseRepresentation
bin11101001000101110110…
…10100001110100101100
310112201001210022000000110
432210113122201310230
5112400243233211340
62043524104300020
7132220456245024
oct16442732416454
93481053260013
101001120210220
11356633294469
12142035171610
13735363a4520
1436651126a84
151b094c90680
hexe9176a1d2c

1001120210220 has 96 divisors (see below), whose sum is σ = 3177644762880. Its totient is φ = 233459608320.

The previous prime is 1001120210219. The next prime is 1001120210281. The reversal of 1001120210220 is 220120211001.

1001120210220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001120210196 and 1001120210205.

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, 33761166 + ... + 33790805.

It is an arithmetic number, because the mean of its divisors is an integer number (33100466280).

Almost surely, 21001120210220 is an apocalyptic number.

1001120210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001120210220 is an abundant number, since it is smaller than the sum of its proper divisors (2176524552660).

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

1001120210220 is a wasteful number, since it uses less digits than its factorization.

1001120210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67552015 (or 67552013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001120210220 its reverse (220120211001), we get a palindrome (1221240421221).

The spelling of 1001120210220 in words is "one trillion, one billion, one hundred twenty million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 67551971 135103942 202655913 270207884 337759855 405311826 675519710 810623652 878175623 1013279565 1283487449 1351039420 1756351246 2026559130 2566974898 2634526869 3512702492 3850462347 4053118260 4390878115 5133949796 5269053738 6417437245 7700924694 8781756230 10538107476 12834874490 13172634345 15401849388 16685336837 17563512460 19252311735 25669748980 26345268690 33370673674 38504623470 50056010511 52690537380 66741347348 77009246940 83426684185 100112021022 166853368370 200224042044 250280052555 333706736740 500560105110 1001120210220