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3140301001100 = 22521723317094639
BaseRepresentation
bin101101101100101000100…
…001101001000110001100
3102010012122222100121002012
4231230220201221012030
5402422314024013400
610402345004520352
7442610405042444
oct55545041510614
912105588317065
103140301001100
11100088105845a
124287405500b8
1319a18a880553
14abdc44b9124
1556a46ac0d35
hex2db2886918c

3140301001100 has 144 divisors (see below), whose sum is σ = 7252073337600. Its totient is φ = 1176214609920.

The previous prime is 3140301001069. The next prime is 3140301001127. The reversal of 3140301001100 is 11001030413.

It is a super-2 number, since 2×31403010011002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676932581 + ... + 676937219.

It is an arithmetic number, because the mean of its divisors is an integer number (50361620400).

Almost surely, 23140301001100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140301001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626036668800).

3140301001100 is an abundant number, since it is smaller than the sum of its proper divisors (4111772336500).

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

3140301001100 is a wasteful number, since it uses less digits than its factorization.

3140301001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 3140301001100 its reverse (11001030413), we get a palindrome (3151302031513).

The spelling of 3140301001100 in words is "three trillion, one hundred forty billion, three hundred one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 233 340 425 466 850 932 1165 1700 1709 2330 3418 3961 4639 4660 5825 6836 7922 8545 9278 11650 15844 17090 18556 19805 23195 23300 29053 34180 39610 42725 46390 58106 78863 79220 85450 92780 99025 115975 116212 145265 157726 170900 198050 231950 290530 315452 394315 396100 398197 463900 581060 726325 788630 796394 1080887 1452650 1577260 1592788 1971575 1990985 2161774 2905300 3943150 3981970 4323548 5404435 6769349 7886300 7928051 7963940 9954925 10808870 13538698 15856102 18375079 19909850 21617740 27022175 27077396 31712204 33846745 36750158 39640255 39819700 54044350 67693490 73500316 79280510 91875395 108088700 134776867 135386980 158561020 169233725 183750790 198201275 269553734 338467450 367501580 396402550 459376975 539107468 673884335 676934900 792805100 918753950 1347768670 1837507900 1847235883 2695537340 3369421675 3694471766 6738843350 7388943532 9236179415 13477686700 18472358830 31403010011 36944717660 46180897075 62806020022 92361794150 125612040044 157015050055 184723588300 314030100110 628060200220 785075250275 1570150500550 3140301001100