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141050101200 = 24352967121553
BaseRepresentation
bin1000001101011100111…
…1011011110111010000
3111111002000122112210020
42003113033123313100
54302332311214300
6144444133103440
713122232035561
oct2032717336720
9444060575706
10141050101200
1154901117778
1223405487b80
13103bb2c1658
146b80c9c168
153a07eec8a0
hex20d73dbdd0

141050101200 has 120 divisors (see below), whose sum is σ = 452301461568. Its totient is φ = 37574154240.

The previous prime is 141050101193. The next prime is 141050101207. The reversal of 141050101200 is 2101050141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141050101193) and next prime (141050101207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141050101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141050101207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099624 + ... + 1221176.

Almost surely, 2141050101200 is an apocalyptic number.

141050101200 is a gapful number since it is divisible by the number (10) 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 141050101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226150730784).

141050101200 is an abundant number, since it is smaller than the sum of its proper divisors (311251360368).

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

141050101200 is a wasteful number, since it uses less digits than its factorization.

141050101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122541 (or 122530 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 141050101200 its reverse (2101050141), we get a palindrome (143151151341).

The spelling of 141050101200 in words is "one hundred forty-one billion, fifty million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 967 1200 1934 2901 3868 4835 5802 7736 9670 11604 14505 15472 19340 23208 24175 29010 38680 46416 48350 58020 72525 77360 96700 116040 121553 145050 193400 232080 243106 290100 364659 386800 486212 580200 607765 729318 972424 1160400 1215530 1458636 1823295 1944848 2431060 2917272 3038825 3646590 4862120 5834544 6077650 7293180 9116475 9724240 12155300 14586360 18232950 24310600 29172720 36465900 48621200 72931800 117541751 145863600 235083502 352625253 470167004 587708755 705250506 940334008 1175417510 1410501012 1763126265 1880668016 2350835020 2821002024 2938543775 3526252530 4701670040 5642004048 5877087550 7052505060 8815631325 9403340080 11754175100 14105010120 17631262650 23508350200 28210020240 35262525300 47016700400 70525050600 141050101200