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31334103240 = 23351138361979
BaseRepresentation
bin11101001011101010…
…000111100011001000
32222212201122100222020
4131023222013203020
51003133012300430
622221130324440
72156326324446
oct351352074310
988781570866
1031334103240
111231a3145a0
1260a5889720
132c548b08bb
1417336c5b96
15c35d03b10
hex74ba878c8

31334103240 has 128 divisors (see below), whose sum is σ = 102817382400. Its totient is φ = 7576190720.

The previous prime is 31334103181. The next prime is 31334103247. The reversal of 31334103240 is 4230143313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31334103240.

It is not an unprimeable number, because it can be changed into a prime (31334103247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 474571 + ... + 536549.

It is an arithmetic number, because the mean of its divisors is an integer number (803260800).

Almost surely, 231334103240 is an apocalyptic number.

31334103240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31334103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408691200).

31334103240 is an abundant number, since it is smaller than the sum of its proper divisors (71483279160).

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

31334103240 is a wasteful number, since it uses less digits than its factorization.

31334103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62387 (or 62383 counting only the distinct ones).

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

Adding to 31334103240 its reverse (4230143313), we get a palindrome (35564246553).

The spelling of 31334103240 in words is "thirty-one billion, three hundred thirty-four million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 383 440 660 766 1149 1320 1532 1915 2298 3064 3830 4213 4596 5745 7660 8426 9192 11490 12639 15320 16852 21065 22980 25278 33704 42130 45960 50556 61979 63195 84260 101112 123958 126390 168520 185937 247916 252780 309895 371874 495832 505560 619790 681769 743748 929685 1239580 1363538 1487496 1859370 2045307 2479160 2727076 3408845 3718740 4090614 5454152 6817690 7437480 8181228 10226535 13635380 16362456 20453070 23737957 27270760 40906140 47475914 71213871 81812280 94951828 118689785 142427742 189903656 237379570 261117527 284855484 356069355 474759140 522235054 569710968 712138710 783352581 949518280 1044470108 1305587635 1424277420 1566705162 2088940216 2611175270 2848554840 3133410324 3916762905 5222350540 6266820648 7833525810 10444701080 15667051620 31334103240