Search a number
-
+
1002112000212 = 223792207478967
BaseRepresentation
bin11101001010100101000…
…01111010000011010100
310112210121220112011010010
432211102201322003110
5112404311133001322
62044210334000220
7132254161313031
oct16452241720324
93483556464103
101002112000212
11356aa210aa14
12142271346070
13736639c87cb
1436706b38388
151b101d9e20c
hexe95287a0d4

1002112000212 has 48 divisors (see below), whose sum is σ = 2368937410560. Its totient is φ = 329658886752.

The previous prime is 1002112000163. The next prime is 1002112000213. The reversal of 1002112000212 is 2120002112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112000213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852753 + ... + 2331719.

It is an arithmetic number, because the mean of its divisors is an integer number (49352862720).

Almost surely, 21002112000212 is an apocalyptic number.

1002112000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002112000212 is an abundant number, since it is smaller than the sum of its proper divisors (1366825410348).

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

1002112000212 is a wasteful number, since it uses less digits than its factorization.

1002112000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481260 (or 481258 counting only the distinct ones).

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

Adding to 1002112000212 its reverse (2120002112001), we get a palindrome (3122114112213).

The spelling of 1002112000212 in words is "one trillion, two billion, one hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 2207 4414 6621 8828 13242 26484 174353 348706 478967 523059 697412 957934 1046118 1436901 1915868 2092236 2873802 5747604 37838393 75676786 113515179 151353572 227030358 454060716 1057080169 2114160338 3171240507 4228320676 6342481014 12684962028 83509333351 167018666702 250528000053 334037333404 501056000106 1002112000212