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102044253225450 = 235219325431386097
BaseRepresentation
bin10111001100111100000111…
…011101110000000111101010
3111101022100001110102011012210
4113030330013131300013222
5101333343112311203300
61001010252135545550
730331311502642314
oct2714740735600752
9441270043364183
10102044253225450
112a5727a7726258
12b540a39b2b2b6
1344c2968982b03
141b2ad7aa9c7b4
15bbe612879050
hex5ccf077701ea

102044253225450 has 96 divisors (see below), whose sum is σ = 254481205660416. Its totient is φ = 27060142325760.

The previous prime is 102044253225389. The next prime is 102044253225553. The reversal of 102044253225450 is 54522352440201.

It is a junction number, because it is equal to n+sod(n) for n = 102044253225399 and 102044253225408.

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, 72926802 + ... + 74312898.

It is an arithmetic number, because the mean of its divisors is an integer number (2650845892296).

Almost surely, 2102044253225450 is an apocalyptic number.

102044253225450 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 102044253225450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127240602830208).

102044253225450 is an abundant number, since it is smaller than the sum of its proper divisors (152436952434966).

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

102044253225450 is a wasteful number, since it uses less digits than its factorization.

102044253225450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388848 (or 1388843 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 102044253225450 in words is "one hundred two trillion, forty-four billion, two hundred fifty-three million, two hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 193 386 579 965 1158 1930 2543 2895 4825 5086 5790 7629 9650 12715 14475 15258 25430 28950 38145 63575 76290 127150 190725 381450 490799 981598 1386097 1472397 2453995 2772194 2944794 4158291 4907990 6930485 7361985 8316582 12269975 13860970 14723970 20791455 24539950 34652425 36809925 41582910 69304850 73619850 103957275 207914550 267516721 535033442 802550163 1337583605 1605100326 2675167210 3524844671 4012750815 6687918025 7049689342 8025501630 10574534013 13375836050 17624223355 20063754075 21149068026 35248446710 40127508150 52872670065 88121116775 105745340130 176242233550 264363350325 528726700650 680295021503 1360590043006 2040885064509 3401475107515 4081770129018 6802950215030 10204425322545 17007375537575 20408850645090 34014751075150 51022126612725 102044253225450