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103301203120 = 24517263337857
BaseRepresentation
bin110000000110100111…
…0110100010010110000
3100212122020102211120221
41200031032310102300
53143030101444440
6115242251142424
710314620511253
oct1401516642260
9325566384527
10103301203120
113a89a921945
121802b444a14
13998372357b
144ddd67109a
152a48e78d4a
hex180d3b44b0

103301203120 has 160 divisors (see below), whose sum is σ = 256326415488. Its totient is φ = 38581960704.

The previous prime is 103301202947. The next prime is 103301203141. The reversal of 103301203120 is 21302103301.

It is a super-2 number, since 2×1033012031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103301203094 and 103301203103.

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, 120537732 + ... + 120538588.

Almost surely, 2103301203120 is an apocalyptic number.

103301203120 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 103301203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128163207744).

103301203120 is an abundant number, since it is smaller than the sum of its proper divisors (153025212368).

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

103301203120 is a wasteful number, since it uses less digits than its factorization.

103301203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103301203120 its reverse (21302103301), we get a palindrome (124603306421).

The spelling of 103301203120 in words is "one hundred three billion, three hundred one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 263 272 337 340 526 674 680 857 1052 1315 1348 1360 1685 1714 2104 2630 2696 3370 3428 4208 4285 4471 5260 5392 5729 6740 6856 8570 8942 10520 11458 13480 13712 14569 17140 17884 21040 22355 22916 26960 28645 29138 34280 35768 44710 45832 57290 58276 68560 71536 72845 88631 89420 91664 114580 116552 145690 177262 178840 225391 229160 233104 288809 291380 354524 357680 443155 450782 458320 577618 582760 709048 886310 901564 1126955 1155236 1165520 1418096 1444045 1506727 1772620 1803128 2253910 2310472 2888090 3013454 3545240 3606256 3831647 4507820 4620944 4909753 5776180 6026908 7090480 7533635 7663294 9015640 9819506 11552360 12053816 15067270 15326588 18031280 19158235 19639012 23104720 24107632 24548765 30134540 30653176 38316470 39278024 49097530 60269080 61306352 75956767 76632940 78556048 98195060 120538160 151913534 153265880 196390120 303827068 306531760 379783835 392780240 607654136 759567670 1215308272 1291265039 1519135340 2582530078 3038270680 5165060156 6076541360 6456325195 10330120312 12912650390 20660240624 25825300780 51650601560 103301203120