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10002220031 = 292713833323
BaseRepresentation
bin10010101000010110…
…11100001111111111
3221211001221102102202
421110023130033333
5130441032020111
64332302142115
7502602316226
oct112413341777
927731842382
1010002220031
114272aa0a51
121b3188193b
13c352b6abb
146ac57dcbd
153d819ab3b
hex2542dc3ff

10002220031 has 16 divisors (see below), whose sum is σ = 10415554560. Its totient is φ = 9593670240.

The previous prime is 10002220001. The next prime is 10002220051. The reversal of 10002220031 is 13002220001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10002220031 is a prime.

It is a super-2 number, since 2×100022200312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002219994 and 10002220021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002220001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3008336 + ... + 3011658.

It is an arithmetic number, because the mean of its divisors is an integer number (650972160).

Almost surely, 210002220031 is an apocalyptic number.

10002220031 is a deficient number, since it is larger than the sum of its proper divisors (413334529).

10002220031 is a wasteful number, since it uses less digits than its factorization.

10002220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10002220031 its reverse (13002220001), we get a palindrome (23004440032).

The spelling of 10002220031 in words is "ten billion, two million, two hundred twenty thousand, thirty-one".

Divisors: 1 29 271 383 3323 7859 11107 96367 103793 900533 1272709 3009997 26115457 36908561 344904139 10002220031