Search a number
-
+
103045231344 = 24311536136007
BaseRepresentation
bin101111111110111111…
…0010111001011110000
3100211222101210010022210
41133331332113023300
53142014034400334
6115201024532120
710305362004666
oct1377576271360
9324871703283
10103045231344
113a77938a520
1217b79781040
13994269c993
144db767cc36
152a317655e9
hex17fdf972f0

103045231344 has 160 divisors (see below), whose sum is σ = 296411457024. Its totient is φ = 30581591040.

The previous prime is 103045231283. The next prime is 103045231403. The reversal of 103045231344 is 443132540301.

103045231344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17151189 + ... + 17157195.

Almost surely, 2103045231344 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 103045231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148205728512).

103045231344 is an abundant number, since it is smaller than the sum of its proper divisors (193366225680).

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

103045231344 is a wasteful number, since it uses less digits than its factorization.

103045231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 103045231344 its reverse (443132540301), we get a palindrome (546177771645).

The spelling of 103045231344 in words is "one hundred three billion, forty-five million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 613 636 848 1166 1226 1272 1749 1839 2332 2452 2544 3498 3678 4664 4904 6007 6743 6996 7356 9328 9808 12014 13486 13992 14712 18021 20229 24028 26972 27984 29424 32489 36042 40458 48056 53944 64978 66077 72084 80916 96112 97467 107888 129956 132154 144168 161832 194934 198231 259912 264308 288336 318371 323664 357379 389868 396462 519824 528616 636742 714758 779736 792924 955113 1057232 1072137 1273484 1429516 1559472 1585848 1910226 2144274 2546968 2859032 3171696 3502081 3682291 3820452 4288548 5093936 5718064 7004162 7364582 7640904 8577096 10506243 11046873 14008324 14729164 15281808 17154192 21012486 22093746 28016648 29458328 40505201 42024972 44187492 56033296 58916656 81010402 84049944 88374984 121515603 162020804 168099888 176749968 195161423 243031206 324041608 390322846 486062412 585484269 648083216 780645692 972124824 1170968538 1561291384 1944249648 2146775653 2341937076 3122582768 4293551306 4683874152 6440326959 8587102612 9367748304 12880653918 17174205224 25761307836 34348410448 51522615672 103045231344