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1002122404213 = 72433077272131
BaseRepresentation
bin11101001010100110010…
…01100110000101110101
310112210122122002201201111
432211103021212011311
5112404321313413323
62044211344555021
7132254345614300
oct16452311460565
93483578081644
101002122404213
11356aa7a76667
12142274922a71
1373665bcc218
1436708285b37
151b102c56c0d
hexe953266175

1002122404213 has 48 divisors (see below), whose sum is σ = 1198938284544. Its totient is φ = 834711181920.

The previous prime is 1002122404201. The next prime is 1002122404259. The reversal of 1002122404213 is 3124042212001.

1002122404213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002122404213 - 29 = 1002122403701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122404273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470258158 + ... + 470260288.

It is an arithmetic number, because the mean of its divisors is an integer number (24977880928).

Almost surely, 21002122404213 is an apocalyptic number.

It is an amenable number.

1002122404213 is a deficient number, since it is larger than the sum of its proper divisors (196815880331).

1002122404213 is a wasteful number, since it uses less digits than its factorization.

1002122404213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1002122404213 its reverse (3124042212001), we get a palindrome (4126164616214).

The spelling of 1002122404213 in words is "one trillion, two billion, one hundred twenty-two million, four hundred four thousand, two hundred thirteen".

Divisors: 1 7 43 49 301 307 727 2107 2131 2149 5089 13201 14917 15043 31261 35623 91633 92407 104419 218827 223189 641431 646849 654217 1531789 1549237 1562323 4490017 4579519 9597127 10844659 10936261 28131331 32056633 66617191 67179889 75912613 196919317 466320337 470259223 475615759 1378435219 3264242359 3329310313 20451477637 23305172191 143160343459 1002122404213