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102102212025 = 325211169924281
BaseRepresentation
bin101111100010111000…
…1000001110110111001
3100202112200022210000100
41133011301001312321
53133101131241100
6114523300430013
710243121324352
oct1370561016671
9322480283010
10102102212025
113a335045110
12179559a8309
1398221c3398
144d28324d29
1529c8a8c400
hex17c5c41db9

102102212025 has 72 divisors (see below), whose sum is σ = 199627178400. Its totient is φ = 49472928000.

The previous prime is 102102212011. The next prime is 102102212059. The reversal of 102102212025 is 520212201201.

It is not a de Polignac number, because 102102212025 - 25 = 102102211993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102211989 and 102102212007.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4192885 + ... + 4217165.

It is an arithmetic number, because the mean of its divisors is an integer number (2772599700).

Almost surely, 2102102212025 is an apocalyptic number.

102102212025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102102212025 is a deficient number, since it is larger than the sum of its proper divisors (97524966375).

102102212025 is a wasteful number, since it uses less digits than its factorization.

102102212025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26007 (or 25999 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 102102212025 its reverse (520212201201), we get a palindrome (622314413226).

The spelling of 102102212025 in words is "one hundred two billion, one hundred two million, two hundred twelve thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 1699 2475 5097 8495 15291 18689 24281 25485 42475 56067 72843 76455 93445 121405 127425 168201 218529 267091 280335 364215 382275 467225 607025 801273 841005 1092645 1335455 1401675 1821075 2403819 4006365 4205025 5463225 6677275 12019095 20031825 41253419 60095475 123760257 206267095 371280771 453787609 618801285 1031335475 1361362827 1856403855 2268938045 3094006425 4084088481 6806814135 9282019275 11344690225 20420442405 34034070675 102102212025