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3112010133100 = 22521122923951691
BaseRepresentation
bin101101010010010010010…
…000100010111001101100
3102000111122100002121001021
4231102102100202321230
5401441344043224400
610341345425223524
7440556340451641
oct55222220427154
912014570077037
103112010133100
11a9a883654610
12423165a91ba4
131975cc61147b
14aa89d051dc8
1555e3d05171a
hex2d492422e6c

3112010133100 has 144 divisors (see below), whose sum is σ = 7430249433600. Its totient is φ = 1121962464000.

The previous prime is 3112010133091. The next prime is 3112010133107. The reversal of 3112010133100 is 13310102113.

It is a super-2 number, since 2×31120101331002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3112010133107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60178255 + ... + 60229945.

It is an arithmetic number, because the mean of its divisors is an integer number (51598954400).

Almost surely, 23112010133100 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 3112010133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715124716800).

3112010133100 is an abundant number, since it is smaller than the sum of its proper divisors (4318239300500).

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

3112010133100 is a wasteful number, since it uses less digits than its factorization.

3112010133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52184 (or 52177 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 3112010133100 its reverse (13310102113), we get a palindrome (3125320235213).

The spelling of 3112010133100 in words is "three trillion, one hundred twelve billion, ten million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 229 239 275 458 478 550 916 956 1100 1145 1195 2290 2390 2519 2629 4580 4780 5038 5258 5725 5975 10076 10516 11450 11950 12595 13145 22900 23900 25190 26290 50380 51691 52580 54731 62975 65725 103382 109462 125950 131450 206764 218924 251900 258455 262900 273655 516910 547310 568601 602041 1033820 1094620 1137202 1204082 1292275 1368275 2274404 2408164 2584550 2736550 2843005 3010205 5169100 5473100 5686010 6020410 11372020 11837239 12040820 12354149 14215025 15051025 23674478 24708298 28430050 30102050 47348956 49416596 56860100 59186195 60204100 61770745 118372390 123541490 130209629 135895639 236744780 247082980 260419258 271791278 295930975 308853725 520838516 543582556 591861950 617707450 651048145 679478195 1183723900 1235414900 1302096290 1358956390 2604192580 2717912780 2829100121 3255240725 3397390975 5658200242 6510481450 6794781950 11316400484 13020962900 13589563900 14145500605 28291001210 31120101331 56582002420 62240202662 70727503025 124480405324 141455006050 155600506655 282910012100 311201013310 622402026620 778002533275 1556005066550 3112010133100