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1213003134 = 233724491021
BaseRepresentation
bin100100001001100…
…1111010101111110
310010112110221111000
41020103033111332
54441012100014
6320210511130
742026233200
oct11023172576
93115427430
101213003134
11572788232
1229a2954a6
131643c7c45
14b7156770
1571758509
hex484cf57e

1213003134 has 96 divisors (see below), whose sum is σ = 3145716000. Its totient is φ = 345461760.

The previous prime is 1213003109. The next prime is 1213003147. The reversal of 1213003134 is 4313003121.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1187544 + ... + 1188564.

It is an arithmetic number, because the mean of its divisors is an integer number (32767875).

Almost surely, 21213003134 is an apocalyptic number.

1213003134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213003134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572858000).

1213003134 is an abundant number, since it is smaller than the sum of its proper divisors (1932712866).

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

1213003134 is a wasteful number, since it uses less digits than its factorization.

1213003134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1213003134 is about 34828.1945268485. The cubic root of 1213003134 is about 1066.4830914334.

Adding to 1213003134 its reverse (4313003121), we get a palindrome (5526006255).

The spelling of 1213003134 in words is "one billion, two hundred thirteen million, three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 449 882 898 1021 1323 1347 2042 2646 2694 3063 3143 4041 6126 6286 7147 8082 9189 9429 12123 14294 18378 18858 21441 22001 24246 27567 28287 42882 44002 50029 55134 56574 64323 66003 84861 100058 128646 132006 150087 169722 192969 198009 300174 385938 396018 450261 458429 594027 900522 916858 1188054 1350783 1375287 2701566 2750574 3209003 4125861 6418006 8251722 9627009 12377583 19254018 22463021 24755166 28881027 44926042 57762054 67389063 86643081 134778126 173286162 202167189 404334378 606501567 1213003134