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1214003133 = 347172943101
BaseRepresentation
bin100100001011100…
…0011011110111101
310010121100202020000
41020113003132331
54441241100013
6320244144513
742040566510
oct11027033675
93117322200
101214003133
11573300582
1229a698139
13164688165
14b7336d77
15718a4973
hex485c37bd

1214003133 has 160 divisors (see below), whose sum is σ = 2345967360. Its totient is φ = 609638400.

The previous prime is 1214003113. The next prime is 1214003173. The reversal of 1214003133 is 3313004121.

It is not a de Polignac number, because 1214003133 - 25 = 1214003101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214003113) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 12019783 + ... + 12019883.

It is an arithmetic number, because the mean of its divisors is an integer number (14662296).

Almost surely, 21214003133 is an apocalyptic number.

It is an amenable number.

1214003133 is a deficient number, since it is larger than the sum of its proper divisors (1131964227).

1214003133 is a wasteful number, since it uses less digits than its factorization.

1214003133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

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

The square root of 1214003133 is about 34842.5477397965. The cubic root of 1214003133 is about 1066.7760802587.

Adding to 1214003133 its reverse (3313004121), we get a palindrome (4527007254).

The spelling of 1214003133 in words is "one billion, two hundred fourteen million, three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 17 21 27 29 43 51 63 81 87 101 119 129 153 189 203 261 301 303 357 387 459 493 567 609 707 731 783 903 909 1071 1161 1247 1377 1479 1717 1827 2121 2193 2349 2709 2727 2929 3213 3451 3483 3741 4343 4437 5117 5151 5481 6363 6579 8127 8181 8729 8787 9639 10353 11223 12019 13029 13311 15351 15453 16443 19089 19737 20503 21199 24381 26187 26361 30401 31059 33669 36057 39087 39933 46053 46359 49793 57267 59211 61509 63597 73831 78561 79083 91203 93177 101007 108171 117261 125947 138159 139077 148393 149379 184527 190791 221493 235683 237249 273609 279531 324513 348551 351783 377841 414477 445179 448137 516817 553581 572373 664479 707049 820827 881629 973539 1045653 1133523 1335537 1344411 1550451 1660743 1717119 1993437 2141099 2462481 2644887 3136959 3400569 4006611 4033233 4651353 5980311 6423297 7934661 9410877 10201707 12019833 13954059 14987693 19269891 23803983 28232631 41862177 44963079 57809673 71411949 134889237 173429019 404667711 1214003133