Search a number
-
+
141101000000 = 2656141101
BaseRepresentation
bin1000001101101001000…
…1100110010101000000
3111111012120102110210222
42003122101212111000
54302433324000000
6144453152042212
713123420465562
oct2033221462500
9444176373728
10141101000000
11549279217a4
122341a533368
13103c8a02b9c
146b8794b332
153a0c703a85
hex20da466540

141101000000 has 98 divisors (see below), whose sum is σ = 349994621574. Its totient is φ = 56440000000.

The previous prime is 141100999849. The next prime is 141101000009. The reversal of 141101000000 is 101141.

It can be written as a sum of positive squares in 7 ways, for example, as 131322163456 + 9778836544 = 362384^2 + 98888^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141101000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 929450 + ... + 1070550.

Almost surely, 2141101000000 is an apocalyptic number.

141101000000 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 141101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174997310787).

141101000000 is an abundant number, since it is smaller than the sum of its proper divisors (208893621574).

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

141101000000 is an frugal number, since it uses more digits than its factorization.

141101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141143 (or 141108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 141101000000 its reverse (101141), we get a palindrome (141101101141).

The spelling of 141101000000 in words is "one hundred forty-one billion, one hundred one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 141101 200000 250000 282202 500000 564404 705505 1000000 1128808 1411010 2257616 2822020 3527525 4515232 5644040 7055050 9030464 11288080 14110100 17637625 22576160 28220200 35275250 45152320 56440400 70550500 88188125 112880800 141101000 176376250 225761600 282202000 352752500 440940625 564404000 705505000 881881250 1128808000 1411010000 1763762500 2204703125 2822020000 3527525000 4409406250 5644040000 7055050000 8818812500 14110100000 17637625000 28220200000 35275250000 70550500000 141101000000