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102312111300 = 22352773965927
BaseRepresentation
bin101111101001001000…
…1101110110011000100
3100210002022021202200120
41133102101232303010
53134013400030200
6115000155341540
710251250411530
oct1372221566304
9323068252616
10102312111300
113a432579593
12179b41518b0
139856835439
144d48162bc0
1529dc1ee9a0
hex17d246ecc4

102312111300 has 144 divisors (see below), whose sum is σ = 338774983680. Its totient is φ = 23353626240.

The previous prime is 102312111287. The next prime is 102312111323. The reversal of 102312111300 is 3111213201.

It is a happy number.

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 102312111300.

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 47 ways as a sum of consecutive naturals, for example, 1518937 + ... + 1584863.

Almost surely, 2102312111300 is an apocalyptic number.

102312111300 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 102312111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169387491840).

102312111300 is an abundant number, since it is smaller than the sum of its proper divisors (236462872380).

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

102312111300 is a wasteful number, since it uses less digits than its factorization.

102312111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66690 (or 66683 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102312111300 its reverse (3111213201), we get a palindrome (105423324501).

The spelling of 102312111300 in words is "one hundred two billion, three hundred twelve million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 739 1050 1478 2100 2217 2956 3695 4434 5173 7390 8868 10346 11085 14780 15519 18475 20692 22170 25865 31038 36950 44340 51730 55425 62076 65927 73900 77595 103460 110850 129325 131854 155190 197781 221700 258650 263708 310380 329635 387975 395562 461489 517300 659270 775950 791124 922978 988905 1318540 1384467 1551900 1648175 1845956 1977810 2307445 2768934 3296350 3955620 4614890 4944525 5537868 6592700 6922335 9229780 9889050 11537225 13844670 19778100 23074450 27689340 34611675 46148900 48720053 69223350 97440106 138446700 146160159 194880212 243600265 292320318 341040371 487200530 584640636 682080742 730800795 974401060 1023121113 1218001325 1364161484 1461601590 1705201855 2046242226 2436002650 2923203180 3410403710 3654003975 4092484452 4872005300 5115605565 6820807420 7308007950 8526009275 10231211130 14616015900 17052018550 20462422260 25578027825 34104037100 51156055650 102312111300