Search a number
-
+
1002101210212 = 2241536112171553
BaseRepresentation
bin11101001010100011110…
…00101111110001100100
310112210121011012222000111
432211101320233301210
5112404300402211322
62044205310422404
7132254000513224
oct16452170576144
93483534188014
101002101210212
11356a97010263
12142269801a04
13736616bb4ab
143670552a084
151b100e6c177
hexe951e2fc64

1002101210212 has 96 divisors (see below), whose sum is σ = 1863078192864. Its totient is φ = 471053107200.

The previous prime is 1002101210191. The next prime is 1002101210219. The reversal of 1002101210212 is 2120121012001.

It can be written as a sum of positive squares in 16 ways, for example, as 854319398436 + 147781811776 = 924294^2 + 384424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002101210192 and 1002101210201.

It is not an unprimeable number, because it can be changed into a prime (1002101210219) 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, 645267228 + ... + 645268780.

It is an arithmetic number, because the mean of its divisors is an integer number (19407064509).

Almost surely, 21002101210212 is an apocalyptic number.

It is an amenable number.

1002101210212 is a deficient number, since it is larger than the sum of its proper divisors (860976982652).

1002101210212 is a wasteful number, since it uses less digits than its factorization.

1002101210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002101210212 its reverse (2120121012001), we get a palindrome (3122222222213).

The spelling of 1002101210212 in words is "one trillion, two billion, one hundred one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 41 53 61 82 106 122 164 212 244 1217 1553 2173 2434 2501 3106 3233 4346 4868 5002 6212 6466 8692 10004 12932 49897 63673 64501 74237 82309 94733 99794 127346 129002 132553 148474 164618 189466 199588 254692 258004 265106 296948 329236 378932 530212 1890001 2644541 3043717 3374669 3780002 3884053 3934561 5020849 5289082 6087434 6749338 7560004 7768106 7869122 10041698 10578164 12174868 13498676 15536212 15738244 20083396 77490041 100170053 115290061 154980082 161317001 200340106 205854809 230580122 309960164 322634002 400680212 411709618 461160244 645268004 823419236 4106972173 4726892501 6110373233 8213944346 9453785002 12220746466 16427888692 18907570004 24441492932 250525302553 501050605106 1002101210212