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102203200322223 = 37111374345805787
BaseRepresentation
bin10111001111010000001001…
…011100110011101010101111
3111101212112022202102021111220
4113033100021130303222233
5101343444123240302343
61001211300235514423
730345636402655650
oct2717201134635257
9441775282367456
10102203200322223
112a624152171660
12b5677b8bb8a13
134504949a4b870
141b34938813527
15bc3816b85183
hex5cf409733aaf

102203200322223 has 64 divisors (see below), whose sum is σ = 183211425718272. Its totient is φ = 48942566225280.

The previous prime is 102203200322191. The next prime is 102203200322239. The reversal of 102203200322223 is 322223002302201.

It is not a de Polignac number, because 102203200322223 - 25 = 102203200322191 is a prime.

It is a super-2 number, since 2×1022032003222232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102203200322193 and 102203200322202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203200322273) 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, 20671665 + ... + 25134122.

It is an arithmetic number, because the mean of its divisors is an integer number (2862678526848).

Almost surely, 2102203200322223 is an apocalyptic number.

102203200322223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102203200322223 is a deficient number, since it is larger than the sum of its proper divisors (81008225396049).

102203200322223 is a wasteful number, since it uses less digits than its factorization.

102203200322223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45806564.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 102203200322223 its reverse (322223002302201), we get a palindrome (424426202624424).

The spelling of 102203200322223 in words is "one hundred two trillion, two hundred three billion, two hundred million, three hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 743 1001 2229 3003 5201 8173 9659 15603 24519 28977 57211 67613 106249 171633 202839 318747 743743 2231229 45805787 137417361 320640509 503863657 595475231 961921527 1511590971 1786425693 3527045599 4168326617 6550227541 10581136797 12504979851 19650682623 34033699741 45851592787 102101099223 137554778361 238235898187 374370697151 442438096633 714707694561 1123112091453 1327314289899 2620594880057 3097066676431 4866819062963 7861784640171 9291200029293 14600457188889 34067733440741 102203200322223