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10302423032 = 23112103310303
BaseRepresentation
bin10011001100001001…
…00111111111111000
3222120222211022112102
421212010213333320
5132044410014112
64422144402532
7513206102516
oct114604477770
928528738472
1010302423032
1144074a3a00
121bb6316448
13c82556105
146da3a74b6
154046e9bc2
hex266127ff8

10302423032 has 48 divisors (see below), whose sum is σ = 21255400320. Its totient is φ = 4677932160.

The previous prime is 10302423031. The next prime is 10302423049. The reversal of 10302423032 is 23032420301.

It is a super-2 number, since 2×103024230322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302422995 and 10302423013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302423031) 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 11 ways as a sum of consecutive naturals, for example, 994793 + ... + 1005095.

It is an arithmetic number, because the mean of its divisors is an integer number (442820840).

Almost surely, 210302423032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627700160).

10302423032 is an abundant number, since it is smaller than the sum of its proper divisors (10952977288).

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

10302423032 is a wasteful number, since it uses less digits than its factorization.

10302423032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10302423032 its reverse (23032420301), we get a palindrome (33334843333).

It can be divided in two parts, 10302 and 423032, that added together give a palindrome (433334).

The spelling of 10302423032 in words is "ten billion, three hundred two million, four hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1033 2066 4132 8264 10303 11363 20606 22726 41212 45452 82424 90904 113333 124993 226666 249986 453332 499972 906664 999944 1246663 2493326 4986652 9973304 10642999 21285998 42571996 85143992 117072989 234145978 468291956 936583912 1287802879 2575605758 5151211516 10302423032