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31412022010131 = 372310324111232333
BaseRepresentation
bin1110010010001101011100…
…11010011110000100010011
311010012221220211012221112110
413021012232122132010103
513104123310113311011
6150450252251200403
76421305121423410
oct711065632360423
9133187824187473
1031412022010131
11a010844573504
123633a3a746103
13146b1aa915c89
147a84c84a3107
153971735a5ba6
hex1c91ae69e113

31412022010131 has 128 divisors (see below), whose sum is σ = 50708070825984. Its totient is φ = 16909732730880.

The previous prime is 31412022010097. The next prime is 31412022010133. The reversal of 31412022010131 is 13101022021413.

It is not a de Polignac number, because 31412022010131 - 27 = 31412022010003 is a prime.

It is a super-2 number, since 2×314120220101312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31412022010098 and 31412022010107.

It is not an unprimeable number, because it can be changed into a prime (31412022010133) 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, 13464217441 + ... + 13464219773.

It is an arithmetic number, because the mean of its divisors is an integer number (396156803328).

Almost surely, 231412022010131 is an apocalyptic number.

31412022010131 is a deficient number, since it is larger than the sum of its proper divisors (19296048815853).

31412022010131 is a wasteful number, since it uses less digits than its factorization.

31412022010131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31412022010131 its reverse (13101022021413), we get a palindrome (44513044031544).

The spelling of 31412022010131 in words is "thirty-one trillion, four hundred twelve billion, twenty-two million, ten thousand, one hundred thirty-one".

Divisors: 1 3 7 21 23 69 103 161 241 309 483 721 723 1123 1687 2163 2333 2369 3369 5061 5543 6999 7107 7861 16331 16583 16629 23583 24823 25829 38801 48993 49749 53659 74469 77487 115669 116403 160977 173761 180803 240299 270643 347007 375613 521283 542409 562253 570929 720897 809683 811929 1126839 1682093 1686759 1712787 1894501 2429049 2619959 2660387 3935771 3996503 5046279 5526877 5683503 6224789 7859877 7981161 11807313 11989509 12931819 16580631 18339713 18622709 18674367 27876229 38688139 38795457 43573523 55019139 55868127 57912059 60259057 83628687 90522733 116064417 130720569 173736177 180777171 195133603 269855777 271568199 405384413 421813399 585400809 631410119 641153267 809567331 1216153239 1265440197 1331977357 1888990439 1894230357 1923459801 3995932071 4419870833 4488072869 5666971317 6206682871 9323841499 13259612499 13464218607 14522432737 18620048613 27971524497 43446780097 43567298211 65035242257 101657029159 130340340291 195105726771 304971087477 455246695799 1365740087397 1495810571911 4487431715733 10470674003377 31412022010131