Search a number
-
+
34212100121250 = 235459154630961
BaseRepresentation
bin1111100011101101000000…
…00100110010001010100010
311111010122102002011222210120
413301312200010302022202
513441012340112340000
6200432453302541110
710130512506601632
oct761664004621242
9144118362158716
1034212100121250
11a9a02a767a027
123a0664b137796
1316122583753bc
14863c3580c6c2
153e4e066546a0
hex1f1da01322a2

34212100121250 has 80 divisors (see below), whose sum is σ = 86952082551840. Its totient is φ = 8968595680000.

The previous prime is 34212100121249. The next prime is 34212100121317. The reversal of 34212100121250 is 5212100121243.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34212100121250.

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 39 ways as a sum of consecutive naturals, for example, 77094231 + ... + 77536730.

It is an arithmetic number, because the mean of its divisors is an integer number (1086901031898).

Almost surely, 234212100121250 is an apocalyptic number.

34212100121250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34212100121250 is an abundant number, since it is smaller than the sum of its proper divisors (52739982430590).

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

34212100121250 is a wasteful number, since it uses less digits than its factorization.

34212100121250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154631045 (or 154631030 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 34212100121250 its reverse (5212100121243), we get a palindrome (39424200242493).

The spelling of 34212100121250 in words is "thirty-four trillion, two hundred twelve billion, one hundred million, one hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 125 150 177 250 295 354 375 590 625 750 885 1250 1475 1770 1875 2950 3750 4425 7375 8850 14750 22125 36875 44250 73750 110625 221250 154630961 309261922 463892883 773154805 927785766 1546309610 2319464415 3865774025 4638928830 7731548050 9123226699 11597322075 18246453398 19328870125 23194644150 27369680097 38657740250 45616133495 54739360194 57986610375 91232266990 96644350625 115973220750 136848400485 193288701250 228080667475 273696800970 289933051875 456161334950 579866103750 684242002425 1140403337375 1368484004850 2280806674750 3421210012125 5702016686875 6842420024250 11404033373750 17106050060625 34212100121250