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102000112221210 = 2357312378013377
BaseRepresentation
bin10111001100010011000000…
…011101001011110000011010
3111101011010010012022210210220
4113030103000131023300122
5101332132212212034320
61000534112113020510
730325156603413000
oct2714230035136032
9441133105283726
10102000112221210
112a556006236465
12b53437b254736
1344bb752a0c6a8
141b28b90554a70
15bbd3cc567e40
hex5cc4c074bc1a

102000112221210 has 128 divisors (see below), whose sum is σ = 285712184563200. Its totient is φ = 23295460995072.

The previous prime is 102000112221187. The next prime is 102000112221223. The reversal of 102000112221210 is 12122211000201.

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 102000112221210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8722042 + ... + 16735418.

It is an arithmetic number, because the mean of its divisors is an integer number (2232126441900).

Almost surely, 2102000112221210 is an apocalyptic number.

102000112221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000112221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142856092281600).

102000112221210 is an abundant number, since it is smaller than the sum of its proper divisors (183712072341990).

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

102000112221210 is a wasteful number, since it uses less digits than its factorization.

102000112221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014645 (or 8014631 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102000112221210 its reverse (12122211000201), we get a palindrome (114122323221411).

The spelling of 102000112221210 in words is "one hundred two trillion, one hundred twelve million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1237 1470 1715 2058 2474 3430 3711 5145 6185 7422 8659 10290 12370 17318 18555 25977 37110 43295 51954 60613 86590 121226 129885 181839 259770 303065 363678 424291 606130 848582 909195 1272873 1818390 2121455 2545746 4242910 6364365 8013377 12728730 16026754 24040131 40066885 48080262 56093639 80133770 112187278 120200655 168280917 240401310 280468195 336561834 392655473 560936390 785310946 841404585 1177966419 1682809170 1963277365 2355932838 2748588311 3926554730 5497176622 5889832095 8245764933 9912547349 11779664190 13742941555 16491529866 19825094698 27485883110 29737642047 41228824665 49562736745 59475284094 69387831443 82457649330 99125473490 138775662886 148688210235 208163494329 297376420470 346939157215 416326988658 485714820101 693878314430 971429640202 1040817471645 1457144460303 2081634943290 2428574100505 2914288920606 3400003740707 4857148201010 6800007481414 7285722301515 10200011222121 14571444603030 17000018703535 20400022444242 34000037407070 51000056110605 102000112221210