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11321302103200 = 2552711031935133
BaseRepresentation
bin1010010010111111001000…
…1100001011010010100000
31111002022021000020200002201
42210233302030023102200
52440442011314300300
640024533454422544
72245636264043065
oct244576214132240
944068230220081
1011321302103200
113675378989681
12132a189201a54
1364179562094b
142b1d4d8aac6c
1514975e08c66a
hexa4bf230b4a0

11321302103200 has 144 divisors (see below), whose sum is σ = 28299523464576. Its totient is φ = 4421389593600.

The previous prime is 11321302103183. The next prime is 11321302103239. The reversal of 11321302103200 is 230120312311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4882834 + ... + 6817966.

It is an arithmetic number, because the mean of its divisors is an integer number (196524468504).

Almost surely, 211321302103200 is an apocalyptic number.

11321302103200 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 11321302103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149761732288).

11321302103200 is an abundant number, since it is smaller than the sum of its proper divisors (16978221361376).

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

11321302103200 is a wasteful number, since it uses less digits than its factorization.

11321302103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935327 (or 1935314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11321302103200 its reverse (230120312311), we get a palindrome (11551422415511).

The spelling of 11321302103200 in words is "eleven trillion, three hundred twenty-one billion, three hundred two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 103 142 160 200 206 284 355 400 412 515 568 710 800 824 1030 1136 1420 1648 1775 2060 2272 2575 2840 3296 3550 4120 5150 5680 7100 7313 8240 10300 11360 14200 14626 16480 20600 28400 29252 36565 41200 56800 58504 73130 82400 117008 146260 182825 234016 292520 365650 585040 731300 1170080 1462600 1935133 2925200 3870266 5850400 7740532 9675665 15481064 19351330 30962128 38702660 48378325 61924256 77405320 96756650 137394443 154810640 193513300 199318699 274788886 309621280 387026600 398637398 549577772 686972215 774053200 797274796 996593495 1099155544 1373944430 1548106400 1594549592 1993186990 2198311088 2747888860 3189099184 3434861075 3986373980 4396622176 4982967475 5495777720 6378198368 6869722150 7972747960 9965934950 10991555440 13739444300 14151627629 15945495920 19931869900 21983110880 27478888600 28303255258 31890991840 39863739800 54957777200 56606510516 70758138145 79727479600 109915554400 113213021032 141516276290 159454959200 226426042064 283032552580 353790690725 452852084128 566065105160 707581381450 1132130210320 1415162762900 2264260420640 2830325525800 5660651051600 11321302103200