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102122201202 = 2371727121669
BaseRepresentation
bin101111100011011110…
…1010010000001110010
3100202121001221100000020
41133012331102001302
53133121240414302
6114525253104310
710243453250010
oct1370675220162
9322531840006
10102122201202
113a34535829a
1217960628096
1398263a18b8
144d2ac498b0
1529ca6d9ebc
hex17c6f52072

102122201202 has 144 divisors (see below), whose sum is σ = 251652861120. Its totient is φ = 27058429440.

The previous prime is 102122201201. The next prime is 102122201213. The reversal of 102122201202 is 202102221201.

It is not an unprimeable number, because it can be changed into a prime (102122201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61186824 + ... + 61188492.

Almost surely, 2102122201202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125826430560).

102122201202 is an abundant number, since it is smaller than the sum of its proper divisors (149530659918).

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

102122201202 is a wasteful number, since it uses less digits than its factorization.

102122201202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122201202 its reverse (202102221201), we get a palindrome (304224422403).

The spelling of 102122201202 in words is "one hundred two billion, one hundred twenty-two million, two hundred one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 71 102 119 142 213 238 289 357 426 497 578 714 867 994 1207 1491 1669 1734 2023 2414 2982 3338 3621 4046 5007 5041 6069 7242 8449 10014 10082 11683 12138 15123 16898 20519 23366 25347 28373 30246 35049 35287 41038 50694 56746 61557 70098 70574 85119 85697 105861 118499 123114 143633 170238 171394 198611 211722 236998 257091 287266 355497 397222 430899 482341 514182 595833 599879 710994 829493 861798 964682 1191666 1199758 1447023 1456849 1658986 1799637 2014483 2488479 2894046 2913698 3376387 3599274 4028966 4370547 4976958 6043449 6752774 8413429 8741094 10129161 10197943 12086898 14101381 16826858 20258322 20395886 25240287 28202762 30593829 34246211 42304143 50480574 58894003 61187658 68492422 84608286 102738633 117788006 143028293 176682009 205477266 239723477 286056586 353364018 429084879 479446954 719170431 858169758 1001198051 1438340862 2002396102 2431480981 3003594153 4862961962 6007188306 7294442943 14588885886 17020366867 34040733734 51061100601 102122201202