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102102122212020 = 22325781033430327
BaseRepresentation
bin10111001101110010000000…
…101110011010101010110100
3111101111212102110010021002200
4113031302000232122222310
5101340320121241241040
61001053022321104500
730335430525134010
oct2715620056325264
9441455373107080
10102102122212020
112a5952a3212397
12b5500aa188130
1344c825ba83ab8
141b2daaa511540
15bc0d9ce8a630
hex5cdc80b9aab4

102102122212020 has 72 divisors (see below), whose sum is σ = 353954023672704. Its totient is φ = 23337627933888.

The previous prime is 102102122211911. The next prime is 102102122212049. The reversal of 102102122212020 is 20212221201201.

It is a happy number.

102102122212020 is a `hidden beast` number, since 1 + 0 + 210 + 212 + 221 + 2 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102102122211984 and 102102122212002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40516713904 + ... + 40516716423.

Almost surely, 2102102122212020 is an apocalyptic number.

102102122212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102122212020 is an abundant number, since it is smaller than the sum of its proper divisors (251851901460684).

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

102102122212020 is a wasteful number, since it uses less digits than its factorization.

102102122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81033430349 (or 81033430344 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102102122212020 its reverse (20212221201201), we get a palindrome (122314343413221).

The spelling of 102102122212020 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 81033430327 162066860654 243100290981 324133721308 405167151635 486200581962 567234012289 729300872943 810334303270 972401163924 1134468024578 1215501454905 1458601745886 1620668606540 1701702036867 2268936049156 2431002909810 2836170061445 2917203491772 3403404073734 3646504364715 4862005819620 5105106110601 5672340122890 6806808147468 7293008729430 8508510184335 10210212221202 11344680245780 14586017458860 17017020368670 20420424442404 25525530553005 34034040737340 51051061106010 102102122212020