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31999929295103 = 71131531913134231
BaseRepresentation
bin1110100011010100100000…
…11010110010000011111111
311012022011102002111102120022
413101222100122302003333
513143241323344420403
6152020321540442355
76511630036043450
oct721522032620377
9135264362442508
1031999929295103
11a21810393a240
1237099736a93bb
1314b1771148cb3
147c8b3a6b3127
153a75d198bd38
hex1d1a906b20ff

31999929295103 has 128 divisors (see below), whose sum is σ = 42324467908608. Its totient is φ = 23470611840000.

The previous prime is 31999929295097. The next prime is 31999929295109. The reversal of 31999929295103 is 30159292999913.

It is a Cunningham number, because it is equal to 56568482-1.

It is an interprime number because it is at equal distance from previous prime (31999929295097) and next prime (31999929295109).

It is a cyclic number.

It is not a de Polignac number, because 31999929295103 - 26 = 31999929295039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31999929295109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7563204998 + ... + 7563209228.

It is an arithmetic number, because the mean of its divisors is an integer number (330659905536).

Almost surely, 231999929295103 is an apocalyptic number.

31999929295103 is a deficient number, since it is larger than the sum of its proper divisors (10324538613505).

31999929295103 is a wasteful number, since it uses less digits than its factorization.

31999929295103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837.

The product of its (nonzero) digits is 95659380, while the sum is 71.

The spelling of 31999929295103 in words is "thirty-one trillion, nine hundred ninety-nine billion, nine hundred twenty-nine million, two hundred ninety-five thousand, one hundred three".

Divisors: 1 7 11 31 53 77 191 217 313 341 371 583 1337 1643 2101 2191 2387 3443 4081 4231 5921 9703 10123 11501 14707 16589 18073 24101 29617 41447 46541 59783 65131 67921 70861 106733 111353 116123 126511 131161 182479 224243 313813 325787 418481 455917 514259 657613 747131 779471 808121 918127 1277353 1324303 1442771 1569701 1853273 2196691 2466673 3168499 3451943 3599813 4603291 5656847 5656849 6951533 8889331 9270121 10099397 12972911 14567333 17266711 20386003 22179493 24163601 25051751 34853489 39597943 41053393 42830413 48660731 62225317 70188059 76466863 98223469 101971331 142702021 175362257 243974423 252941873 275569261 287373751 299812891 451587323 471134543 491316413 535268041 687564283 772068649 1080458159 1327742803 1770593111 1928984827 2175829829 2782360603 3161111261 3297941801 5404480543 7563207113 7841198063 9294199621 13405919269 14605170833 15230808803 19476524221 23934128119 54888386441 86253178693 93841434883 102236195831 147465111959 167538896833 415583497339 603772250851 1032255783713 2909084481373 4571418470729 31999929295103