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103210314144 = 25371091409053
BaseRepresentation
bin110000000011111010…
…0000110100110100000
3100212101220102012100120
41200013310012212200
53142333320023034
6115225243120240
710312435123650
oct1400764064640
9325356365316
10103210314144
113a853593693
1218004b13080
13996a94cb02
144dd1572360
152a40ec3c49
hex1807d069a0

103210314144 has 96 divisors (see below), whose sum is σ = 312471815040. Its totient is φ = 29218102272.

The previous prime is 103210314107. The next prime is 103210314169. The reversal of 103210314144 is 441413012301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 631279 + ... + 777774.

It is an arithmetic number, because the mean of its divisors is an integer number (3254914740).

Almost surely, 2103210314144 is an apocalyptic number.

103210314144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103210314144 is an abundant number, since it is smaller than the sum of its proper divisors (209261500896).

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

103210314144 is a wasteful number, since it uses less digits than its factorization.

103210314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409182 (or 1409174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103210314144 its reverse (441413012301), we get a palindrome (544623326445).

The spelling of 103210314144 in words is "one hundred three billion, two hundred ten million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4578 5232 6104 9156 10464 12208 18312 24416 36624 73248 1409053 2818106 4227159 5636212 8454318 9863371 11272424 16908636 19726742 22544848 29590113 33817272 39453484 45089696 59180226 67634544 78906968 118360452 135269088 153586777 157813936 236720904 307173554 315627872 460760331 473441808 614347108 921520662 946883616 1075107439 1228694216 1843041324 2150214878 2457388432 3225322317 3686082648 4300429756 4914776864 6450644634 7372165296 8600859512 12901289268 14744330592 17201719024 25802578536 34403438048 51605157072 103210314144