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102102000002221 = 41597312731114639
BaseRepresentation
bin10111001101110001111001…
…011100001110010010101101
3111101111212002221011100202211
4113031301321130032102231
5101340314344000032341
61001053002233450421
730335424512310142
oct2715617134162255
9441455087140684
10102102000002221
112a59524023135a
12b550075270a11
1344c823c6650cb
141b2da981bc3c9
15bc0d9239a181
hex5cdc7970e4ad

102102000002221 has 64 divisors (see below), whose sum is σ = 109027963699200. Its totient is φ = 95506837171200.

The previous prime is 102102000002183. The next prime is 102102000002251. The reversal of 102102000002221 is 122200000201201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102102000002221 - 29 = 102102000001709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102000002251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6974649420 + ... + 6974664058.

It is an arithmetic number, because the mean of its divisors is an integer number (1703561932800).

Almost surely, 2102102000002221 is an apocalyptic number.

It is an amenable number.

102102000002221 is a deficient number, since it is larger than the sum of its proper divisors (6925963696979).

102102000002221 is a wasteful number, since it uses less digits than its factorization.

102102000002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15250.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102102000002221 its reverse (122200000201201), we get a palindrome (224302000203422).

The spelling of 102102000002221 in words is "one hundred two trillion, one hundred two billion, two thousand, two hundred twenty-one".

Divisors: 1 41 59 73 127 311 2419 2993 4307 5207 7493 9271 12751 14639 18349 22703 39497 176587 307213 380111 546989 600199 752309 863701 930823 1068647 1339477 1619377 1859153 2330323 2883281 4552729 22426549 35411741 43814527 54918557 63050173 76225273 95543243 109690027 118214521 135718169 170113579 186661889 268611011 332349217 578196583 2585057093 4497291107 5564444929 6974656739 8007371971 11013051451 13626317897 19608603803 23706059903 34113598397 42208350559 328302250811 803952755923 1398657534277 1730542372919 2490292682981 102102000002221