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103132141240 = 23561238317737
BaseRepresentation
bin110000000001100100…
…1111001011010111000
3100212012110022121021211
41200003021321122320
53142203312004430
6115213411412504
710310465510422
oct1400311713270
9325173277254
10103132141240
113a813450187
1217ba28b4134
1399576ac25b
144dc5023812
152a391d172a
hex18032796b8

103132141240 has 64 divisors (see below), whose sum is σ = 235963647360. Its totient is φ = 40557265920.

The previous prime is 103132141213. The next prime is 103132141261. The reversal of 103132141240 is 42141231301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5805652 + ... + 5823388.

It is an arithmetic number, because the mean of its divisors is an integer number (3686931990).

Almost surely, 2103132141240 is an apocalyptic number.

103132141240 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 103132141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117981823680).

103132141240 is an abundant number, since it is smaller than the sum of its proper divisors (132831506120).

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

103132141240 is a wasteful number, since it uses less digits than its factorization.

103132141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20192 (or 20188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103132141240 its reverse (42141231301), we get a palindrome (145273372541).

The spelling of 103132141240 in words is "one hundred three billion, one hundred thirty-two million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2383 2440 4766 9532 11915 17737 19064 23830 35474 47660 70948 88685 95320 141896 145363 177370 290726 354740 581452 709480 726815 1081957 1162904 1453630 2163914 2907260 4327828 5409785 5814520 8655656 10819570 21639140 42267271 43278280 84534542 169069084 211336355 338138168 422672710 845345420 1690690840 2578303531 5156607062 10313214124 12891517655 20626428248 25783035310 51566070620 103132141240