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10203433020 = 223251137414379
BaseRepresentation
bin10011000000010110…
…00000100000111100
3222100002120002202200
421200023000200330
5131344034324040
64404250551500
7510564515064
oct114013004074
928302502680
1010203433020
114366632280
121b89138590
13c67ba7241
146cb19a3a4
153eab94630
hex2602c083c

10203433020 has 576 divisors, whose sum is σ = 36808611840. Its totient is φ = 2264371200.

The previous prime is 10203433013. The next prime is 10203433033. The reversal of 10203433020 is 2033430201.

10203433020 is a `hidden beast` number, since 1 + 0 + 20 + 343 + 302 + 0 = 666.

It is a super-2 number, since 2×102034330202 (a number of 21 digits) contains 22 as substring.

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 = 10203432984 and 10203433002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129157341 + ... + 129157419.

It is an arithmetic number, because the mean of its divisors is an integer number (63903840).

Almost surely, 210203433020 is an apocalyptic number.

10203433020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404305920).

10203433020 is an abundant number, since it is smaller than the sum of its proper divisors (26605178820).

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

10203433020 is a wasteful number, since it uses less digits than its factorization.

10203433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10203433020 its reverse (2033430201), we get a palindrome (12236863221).

The spelling of 10203433020 in words is "ten billion, two hundred three million, four hundred thirty-three thousand, twenty".