Search a number
-
+
1002122021112 = 233181599385127
BaseRepresentation
bin11101001010100110010…
…00001000100011111000
310112210122121101021012120
432211103020020203320
5112404321214133422
62044211332441240
7132254342430342
oct16452310104370
93483577337176
101002122021112
11356aa7834853
12142274779220
1373665ac6a34
14367081c6292
151b102bcd45c
hexe9532088f8

1002122021112 has 64 divisors (see below), whose sum is σ = 2523358656000. Its totient is φ = 331639701120.

The previous prime is 1002122021101. The next prime is 1002122021123. The reversal of 1002122021112 is 2111202212001.

It is an interprime number because it is at equal distance from previous prime (1002122021101) and next prime (1002122021123).

It is a junction number, because it is equal to n+sod(n) for n = 1002122021091 and 1002122021100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2409493 + ... + 2794619.

It is an arithmetic number, because the mean of its divisors is an integer number (39427479000).

Almost surely, 21002122021112 is an apocalyptic number.

1002122021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002122021112 is an abundant number, since it is smaller than the sum of its proper divisors (1521236634888).

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

1002122021112 is a wasteful number, since it uses less digits than its factorization.

1002122021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385916 (or 385912 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002122021112 its reverse (2111202212001), we get a palindrome (3113324233113).

The spelling of 1002122021112 in words is "one trillion, two billion, one hundred twenty-two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 599 724 1086 1198 1448 1797 2172 2396 3594 4344 4792 7188 14376 108419 216838 325257 385127 433676 650514 770254 867352 1155381 1301028 1540508 2310762 2602056 3081016 4621524 9243048 69707987 139415974 209123961 230691073 278831948 418247922 461382146 557663896 692073219 836495844 922764292 1384146438 1672991688 1845528584 2768292876 5536585752 41755084213 83510168426 125265252639 167020336852 250530505278 334040673704 501061010556 1002122021112