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102000022003320 = 23357280343320941
BaseRepresentation
bin10111001100010010111011…
…000101000001111001111000
3111101011002212220120021010120
4113030102323011001321320
5101332132021113101240
61000534055131213240
730325154426522040
oct2714227305017170
9441132786507116
10102000022003320
112a555a6a316421
12b534354ba7220
1344bb73a11251c
141b28b8258c720
15bbd3c4696ad0
hex5cc4bb141e78

102000022003320 has 128 divisors (see below), whose sum is σ = 349839133539840. Its totient is φ = 23305972584960.

The previous prime is 102000022003277. The next prime is 102000022003403. The reversal of 102000022003320 is 23300220000201.

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 102000022003320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19305951 + ... + 24014990.

It is an arithmetic number, because the mean of its divisors is an integer number (2733118230780).

Almost surely, 2102000022003320 is an apocalyptic number.

102000022003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000022003320 is an abundant number, since it is smaller than the sum of its proper divisors (247839111536520).

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

102000022003320 is a wasteful number, since it uses less digits than its factorization.

102000022003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43323765 (or 43323761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102000022003320 its reverse (23300220000201), we get a palindrome (125300242003521).

The spelling of 102000022003320 in words is "one hundred two trillion, twenty-two million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2803 5606 8409 11212 14015 16818 19621 22424 28030 33636 39242 42045 56060 58863 67272 78484 84090 98105 112120 117726 156968 168180 196210 235452 294315 336360 392420 470904 588630 784840 1177260 2354520 43320941 86641882 129962823 173283764 216604705 259925646 303246587 346567528 433209410 519851292 606493174 649814115 866418820 909739761 1039702584 1212986348 1299628230 1516232935 1732837640 1819479522 2425972696 2599256460 3032465870 3638959044 4548698805 5198512920 6064931740 7277918088 9097397610 12129863480 18194795220 36389590440 121428597623 242857195246 364285792869 485714390492 607142988115 728571585738 850000183361 971428780984 1214285976230 1457143171476 1700000366722 1821428964345 2428571952460 2550000550083 2914286342952 3400000733444 3642857928690 4250000916805 4857143904920 5100001100166 6800001466888 7285715857380 8500001833610 10200002200332 12750002750415 14571431714760 17000003667220 20400004400664 25500005500830 34000007334440 51000011001660 102000022003320