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1213634136 = 23311131991777
BaseRepresentation
bin100100001010110…
…1001011001011000
310010120200000001110
41020111221121120
54441142243021
6320232220320
742034501641
oct11025513130
93116600043
101213634136
11573079320
1229a53a6a0
13164589210
14b727c6c8
1571830476
hex48569658

1213634136 has 128 divisors (see below), whose sum is σ = 3584448000. Its totient is φ = 337582080.

The previous prime is 1213634129. The next prime is 1213634197. The reversal of 1213634136 is 6314363121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682080 + ... + 683856.

It is an arithmetic number, because the mean of its divisors is an integer number (28003500).

Almost surely, 21213634136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213634136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792224000).

1213634136 is an abundant number, since it is smaller than the sum of its proper divisors (2370813864).

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

1213634136 is a wasteful number, since it uses less digits than its factorization.

1213634136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2005 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 1213634136 is about 34837.2521304422. The cubic root of 1213634136 is about 1066.6679868907.

Adding to 1213634136 its reverse (6314363121), we get a palindrome (7527997257).

The spelling of 1213634136 in words is "one billion, two hundred thirteen million, six hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 199 264 286 312 398 429 572 597 796 858 1144 1194 1592 1716 1777 2189 2388 2587 3432 3554 4378 4776 5174 5331 6567 7108 7761 8756 10348 10662 13134 14216 15522 17512 19547 20696 21324 23101 26268 28457 31044 39094 42648 46202 52536 56914 58641 62088 69303 78188 85371 92404 113828 117282 138606 156376 170742 184808 227656 234564 254111 277212 341484 353623 469128 508222 554424 682968 707246 762333 1016444 1060869 1414492 1524666 2032888 2121738 2828984 3049332 3889853 4243476 4597099 6098664 7779706 8486952 9194198 11669559 13791297 15559412 18388396 23339118 27582594 31118824 36776792 46678236 50568089 55165188 93356472 101136178 110330376 151704267 202272356 303408534 404544712 606817068 1213634136