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102222210320 = 245107111710691
BaseRepresentation
bin101111100110011101…
…0110010010100010000
3100202212001010022201122
41133030322302110100
53133322341212240
6114543224421412
710246106310536
oct1371472622420
9322761108648
10102222210320
113a39685565a
121798a017868
1398410195a9
144d3a240156
1529d43924b5
hex17cceb2510

102222210320 has 80 divisors (see below), whose sum is σ = 240125041728. Its totient is φ = 40466695680.

The previous prime is 102222210313. The next prime is 102222210341. The reversal of 102222210320 is 23012222201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9556175 + ... + 9566865.

Almost surely, 2102222210320 is an apocalyptic number.

102222210320 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 102222210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120062520864).

102222210320 is an abundant number, since it is smaller than the sum of its proper divisors (137902831408).

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

102222210320 is a wasteful number, since it uses less digits than its factorization.

102222210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102222210320 its reverse (23012222201), we get a palindrome (125234432521).

The spelling of 102222210320 in words is "one hundred two billion, two hundred twenty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1117 1712 2140 2234 4280 4468 5585 8560 8936 10691 11170 17872 21382 22340 42764 44680 53455 85528 89360 106910 119519 171056 213820 239038 427640 478076 597595 855280 956152 1143937 1195190 1912304 2287874 2390380 4575748 4780760 5719685 9151496 9561520 11439370 11941847 18302992 22878740 23883694 45757480 47767388 59709235 91514960 95534776 119418470 191069552 238836940 477673880 955347760 1277777629 2555555258 5111110516 6388888145 10222221032 12777776290 20444442064 25555552580 51111105160 102222210320