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103300311300 = 223521729698447
BaseRepresentation
bin110000000110100101…
…1011010100100000100
3100212122011202112020120
41200031023122210010
53143024334430200
6115242220101540
710314610105224
oct1401513324404
9325564675216
10103300311300
113a89a3728aa
121802b0948b0
1399834a0674
144ddd4bc084
152a48d4e9a0
hex180d2da904

103300311300 has 144 divisors (see below), whose sum is σ = 327376546560. Its totient is φ = 25032304640.

The previous prime is 103300311251. The next prime is 103300311343. The reversal of 103300311300 is 3113003301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103300311300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201324 + ... + 497123.

It is an arithmetic number, because the mean of its divisors is an integer number (2273448240).

Almost surely, 2103300311300 is an apocalyptic number.

103300311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300311300 is an abundant number, since it is smaller than the sum of its proper divisors (224076235260).

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

103300311300 is a wasteful number, since it uses less digits than its factorization.

103300311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698510 (or 698503 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103300311300 its reverse (3113003301), we get a palindrome (106413314601).

The spelling of 103300311300 in words is "one hundred three billion, three hundred million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 340 348 425 435 493 510 580 725 850 870 986 1020 1275 1450 1479 1700 1740 1972 2175 2465 2550 2900 2958 4350 4930 5100 5916 7395 8700 9860 12325 14790 24650 29580 36975 49300 73950 147900 698447 1396894 2095341 2793788 3492235 4190682 6984470 8381364 10476705 11873599 13968940 17461175 20254963 20953410 23747198 34922350 35620797 40509926 41906820 47494396 52383525 59367995 60764889 69844700 71241594 81019852 101274815 104767050 118735990 121529778 142483188 178103985 202549630 209534100 237471980 243059556 296839975 303824445 344334371 356207970 405099260 506374075 593679950 607648890 688668742 712415940 890519925 1012748150 1033003113 1187359900 1215297780 1377337484 1519122225 1721671855 1781039850 2025496300 2066006226 3038244450 3443343710 3562079700 4132012452 5165015565 6076488900 6886687420 8608359275 10330031130 17216718550 20660062260 25825077825 34433437100 51650155650 103300311300