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31025165340 = 22351325951859
BaseRepresentation
bin11100111001001111…
…100111010000011100
32222002012022200211210
4130321033213100130
51002014420242330
622130332544420
72145555361041
oct347117472034
988065280753
1031025165340
1112180995a14
12601a322110
132c058a3800
1417046671c8
15c18b2b8b0
hex7393e741c

31025165340 has 144 divisors (see below), whose sum is σ = 95663030400. Its totient is φ = 7507378944.

The previous prime is 31025165317. The next prime is 31025165383. The reversal of 31025165340 is 4356152013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31025165298 and 31025165307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572331 + ... + 624189.

It is an arithmetic number, because the mean of its divisors is an integer number (664326600).

Almost surely, 231025165340 is an apocalyptic number.

31025165340 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 31025165340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47831515200).

31025165340 is an abundant number, since it is smaller than the sum of its proper divisors (64637865060).

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

31025165340 is a wasteful number, since it uses less digits than its factorization.

31025165340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51956 (or 51941 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 31025165340 in words is "thirty-one billion, twenty-five million, one hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 59 60 65 78 118 130 156 169 177 195 236 260 295 338 354 390 507 590 676 708 767 780 845 885 1014 1180 1534 1690 1770 2028 2301 2535 3068 3380 3540 3835 4602 5070 7670 9204 9971 10140 11505 15340 19942 23010 29913 39884 46020 49855 51859 59826 99710 103718 119652 149565 155577 199420 207436 259295 299130 311154 518590 598260 622308 674167 777885 1037180 1348334 1555770 2022501 2696668 3059681 3111540 3370835 4045002 6119362 6741670 8090004 8764171 9179043 10112505 12238724 13483340 15298405 17528342 18358086 20225010 26292513 30596810 35056684 36716172 39775853 40450020 43820855 45895215 52585026 61193620 79551706 87641710 91790430 105170052 119327559 131462565 159103412 175283420 183580860 198879265 238655118 262925130 397758530 477310236 517086089 525850260 596637795 795517060 1034172178 1193275590 1551258267 2068344356 2386551180 2585430445 3102516534 5170860890 6205033068 7756291335 10341721780 15512582670 31025165340