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1012024120 = 235160115803
BaseRepresentation
bin111100010100100…
…100001100111000
32121112022011002211
4330110210030320
54033034232440
6244231104504
734036030432
oct7424441470
92545264084
101012024120
1147a296778
12242b12134
1313188a153
149859b652
155dca8eea
hex3c524338

1012024120 has 32 divisors (see below), whose sum is σ = 2278620720. Its totient is φ = 404531200.

The previous prime is 1012024103. The next prime is 1012024129. The reversal of 1012024120 is 214202101.

It is a happy number.

It is a super-3 number, since 3×10120241203 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1012024120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012024129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56139 + ... + 71941.

Almost surely, 21012024120 is an apocalyptic number.

1012024120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012024120 is an abundant number, since it is smaller than the sum of its proper divisors (1266596600).

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

1012024120 is a wasteful number, since it uses less digits than its factorization.

1012024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17415 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1012024120 is about 31812.3265417668. The cubic root of 1012024120 is about 1003.9920820738.

Adding to 1012024120 its reverse (214202101), we get a palindrome (1226226221).

The spelling of 1012024120 in words is "one billion, twelve million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1601 3202 6404 8005 12808 15803 16010 31606 32020 63212 64040 79015 126424 158030 316060 632120 25300603 50601206 101202412 126503015 202404824 253006030 506012060 1012024120