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10210233113031 = 3726346311513469
BaseRepresentation
bin1001010010010100000101…
…0100010101100111000111
31100011002101200220221102010
42110211001110111213013
52314241024134104111
633414303310145303
72102444044333140
oct224450124254707
940132350827363
1010210233113031
113287154459526
12118a98a4b2233
13590a89544063
1427426c2d4ac7
1512a8d1970aa6
hex949415159c7

10210233113031 has 64 divisors (see below), whose sum is σ = 15669453127680. Its totient is φ = 5792972169600.

The previous prime is 10210233113011. The next prime is 10210233113039. The reversal of 10210233113031 is 13031133201201.

It is a happy number.

It is not a de Polignac number, because 10210233113031 - 218 = 10210232850887 is a prime.

It is a super-2 number, since 2×102102331130312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10210233112989 and 10210233113007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210233113039) 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 63 ways as a sum of consecutive naturals, for example, 2943276765 + ... + 2943280233.

It is an arithmetic number, because the mean of its divisors is an integer number (244835205120).

Almost surely, 210210233113031 is an apocalyptic number.

10210233113031 is a deficient number, since it is larger than the sum of its proper divisors (5459220014649).

10210233113031 is a wasteful number, since it uses less digits than its factorization.

10210233113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10210233113031 its reverse (13031133201201), we get a palindrome (23241366314232).

The spelling of 10210233113031 in words is "ten trillion, two hundred ten billion, two hundred thirty-three million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 7 21 263 463 789 1151 1389 1841 3241 3453 3469 5523 8057 9723 10407 24171 24283 72849 121769 302713 365307 532913 852383 908139 912347 1598739 1606147 2118991 2557149 2737041 3730391 3992819 4818441 6356973 6386429 11191173 11243029 11978457 19159287 27949733 33729087 83849199 140156119 420468357 422416661 981092833 1050111397 1267249983 1848675197 2943278499 2956916627 3150334191 5546025591 7350779779 8870749881 12940726379 22052339337 38822179137 486201576811 1458604730433 3403411037677 10210233113031