Search a number
-
+
1022110210218 = 231953832038163
BaseRepresentation
bin11101101111110101000…
…01000001100010101010
310121201020121200110221210
432313322201001202222
5113221240203211333
62101315001013550
7133562562303216
oct16677241014252
93551217613853
101022110210218
113645246270a9
121461127842b6
13754ccbc7776
1437682ab5946
151b8c28b4a63
hexedfa8418aa

1022110210218 has 64 divisors (see below), whose sum is σ = 2218826856960. Its totient is φ = 312866019648.

The previous prime is 1022110210213. The next prime is 1022110210223. The reversal of 1022110210218 is 8120120112201.

1022110210218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022110210213) and next prime (1022110210223).

It is a junction number, because it is equal to n+sod(n) for n = 1022110210194 and 1022110210203.

It is not an unprimeable number, because it can be changed into a prime (1022110210213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517596 + ... + 1520567.

It is an arithmetic number, because the mean of its divisors is an integer number (34669169640).

Almost surely, 21022110210218 is an apocalyptic number.

1022110210218 is an abundant number, since it is smaller than the sum of its proper divisors (1196716646742).

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

1022110210218 is a wasteful number, since it uses less digits than its factorization.

1022110210218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038323.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 1022110210218 its reverse (8120120112201), we get a palindrome (9142230322419).

The spelling of 1022110210218 in words is "one trillion, twenty-two billion, one hundred ten million, two hundred ten thousand, two hundred eighteen".

Divisors: 1 2 3 6 19 38 53 57 83 106 114 159 166 249 318 498 1007 1577 2014 3021 3154 4399 4731 6042 8798 9462 13197 26394 83581 167162 250743 501486 2038163 4076326 6114489 12228978 38725097 77450194 108022639 116175291 169167529 216045278 232350582 324067917 338335058 507502587 648135834 1015005174 2052430141 3214183051 4104860282 6157290423 6428366102 8965879037 9642549153 12314580846 17931758074 19285098306 26897637111 53795274222 170351701703 340703403406 511055105109 1022110210218