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31042214010 = 2345179347617
BaseRepresentation
bin11100111010010000…
…101001100001111010
32222010101101212020000
4130322100221201322
51002033301322020
622132142213430
72146153315443
oct347220514172
988111355200
1031042214010
111218a57a925
126023b84276
132c09292792
141706a242ca
15c1a398090
hex73a42987a

31042214010 has 160 divisors (see below), whose sum is σ = 84313690560. Its totient is φ = 8194652928.

The previous prime is 31042213997. The next prime is 31042214029. The reversal of 31042214010 is 1041224013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 50311222 + ... + 50311838.

It is an arithmetic number, because the mean of its divisors is an integer number (526960566).

Almost surely, 231042214010 is an apocalyptic number.

31042214010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31042214010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42156845280).

31042214010 is an abundant number, since it is smaller than the sum of its proper divisors (53271476550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31042214010 is a wasteful number, since it uses less digits than its factorization.

31042214010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31042214010 its reverse (1041224013), we get a palindrome (32083438023).

The spelling of 31042214010 in words is "thirty-one billion, forty-two million, two hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 179 270 347 358 405 537 617 694 810 895 1041 1074 1234 1611 1735 1790 1851 2082 2685 3085 3123 3222 3470 3702 4833 5205 5370 5553 6170 6246 8055 9255 9369 9666 10410 11106 14499 15615 16110 16659 18510 18738 24165 27765 28107 28998 31230 33318 46845 48330 49977 55530 56214 62113 72495 83295 93690 99954 110443 124226 140535 144990 166590 186339 214099 220886 249885 281070 310565 331329 372678 428198 499770 552215 559017 621130 642297 662658 931695 993987 1070495 1104430 1118034 1284594 1656645 1677051 1863390 1926891 1987974 2140990 2795085 2981961 3211485 3313290 3354102 3853782 4969935 5031153 5590170 5780673 5963922 6422970 8385255 8945883 9634455 9939870 10062306 11561346 14909805 16770510 17342019 17891766 19268910 25155765 28903365 29819610 34684038 38323721 44729415 50311530 57806730 76647442 86710095 89458830 114971163 173420190 191618605 229942326 344913489 383237210 574855815 689826978 1034740467 1149711630 1724567445 2069480934 3104221401 3449134890 5173702335 6208442802 10347404670 15521107005 31042214010