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43430132031 = 31131331137197
BaseRepresentation
bin101000011100101000…
…110011100100111111
311011002201110022001120
4220130220303210333
51202421103211111
631541310242023
73065145013506
oct503450634477
9134081408046
1043430132031
11174671a5000
1285007b6313
1341318c84a0
14215dd7d83d
1511e2be2406
hexa1ca3393f

43430132031 has 128 divisors (see below), whose sum is σ = 71684186112. Its totient is φ = 23222707200.

The previous prime is 43430132021. The next prime is 43430132051. The reversal of 43430132031 is 13023103434.

It is a de Polignac number, because none of the positive numbers 2k-43430132031 is a prime.

It is a super-2 number, since 2×434301320312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43430131992 and 43430132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43430132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220457425 + ... + 220457621.

It is an arithmetic number, because the mean of its divisors is an integer number (560032704).

Almost surely, 243430132031 is an apocalyptic number.

43430132031 is a deficient number, since it is larger than the sum of its proper divisors (28254054081).

43430132031 is a wasteful number, since it uses less digits than its factorization.

43430132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 43430132031 its reverse (13023103434), we get a palindrome (56453235465).

The spelling of 43430132031 in words is "forty-three billion, four hundred thirty million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 11 13 31 33 39 93 121 137 143 197 341 363 403 411 429 591 1023 1209 1331 1507 1573 1781 2167 2561 3751 3993 4247 4433 4521 4719 5343 6107 6501 7683 11253 12741 13299 16577 17303 18321 19591 23837 26989 28171 41261 46717 48763 49731 51909 55211 58773 67177 71511 79391 80967 84513 123783 140151 146289 165633 182347 201531 215501 238173 262207 296879 309881 350857 513887 536393 547041 607321 646503 738947 786621 836659 873301 890637 929643 1052571 1541661 1609179 1821963 2216841 2370511 2509977 2619903 3265669 3408691 3859427 5652757 6680531 7111533 8128417 9203249 9606311 9797007 10226073 10876567 11578281 16958271 20041593 24385251 27609747 28818933 32629701 35922359 42453697 73485841 101235739 105669421 107767077 119642237 127361091 220457523 303707217 317008263 358926711 466990667 1113593129 1316064607 1400972001 3340779387 3948193821 14476710677 43430132031