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103232101203231 = 371113732272074487
BaseRepresentation
bin10111011110001110011000…
…101110001011110100011111
3111112111220002121221120120020
4113132032120232023310133
5102012323320402000411
61003320101140323223
730513162463110210
oct2736163056136437
9445456077846506
10103232101203231
112a990540968180
12b6b30a59a3513
13457a98c779810
141b6c663315407
15be04857b5606
hex5de398b8bd1f

103232101203231 has 128 divisors (see below), whose sum is σ = 188164094017536. Its totient is φ = 48608692116480.

The previous prime is 103232101203167. The next prime is 103232101203247. The reversal of 103232101203231 is 132302101232301.

It is not a de Polignac number, because 103232101203231 - 26 = 103232101203167 is a prime.

It is a super-2 number, since 2×1032321012032312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232101203431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48725470 + ... + 50799956.

It is an arithmetic number, because the mean of its divisors is an integer number (1470031984512).

Almost surely, 2103232101203231 is an apocalyptic number.

103232101203231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103232101203231 is a deficient number, since it is larger than the sum of its proper divisors (84931992814305).

103232101203231 is a wasteful number, since it uses less digits than its factorization.

103232101203231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074821.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103232101203231 its reverse (132302101232301), we get a palindrome (235534202435532).

The spelling of 103232101203231 in words is "one hundred three trillion, two hundred thirty-two billion, one hundred one million, two hundred three thousand, two hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 73 77 91 143 219 227 231 273 429 511 681 803 949 1001 1533 1589 2409 2497 2847 2951 3003 4767 5621 6643 7491 8853 10439 16571 16863 17479 19929 20657 31317 32461 49713 52437 61971 73073 97383 115997 182281 215423 219219 227227 347991 546843 646269 681681 1275967 1507961 2074487 2369653 3827901 4523883 6223461 7108959 14521409 16587571 22819357 26968331 43564227 49762713 68458071 80904993 151437551 159735499 188778317 296651641 454312653 470908549 479206497 566334951 889954923 1060062857 1412725647 1665813061 1968688163 2076561487 3180188571 3296359843 4997439183 5179994039 5906064489 6121811137 6229684461 9889079529 11660691427 13780817141 15539982117 18365433411 21655569793 34376324077 34982074281 36259958273 41342451423 42852677959 64966709379 67339922507 103128972231 108779874819 128558033877 151588988551 202019767521 240634268539 378139564847 446892213001 454766965653 471379457549 721902805617 1134418694541 1340676639003 1414138372647 2646976953929 3128245491007 4915814343011 7940930861787 9384736473021 14747443029033 34410700401077 103232101203231