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1012400109 = 327113142211
BaseRepresentation
bin111100010101111…
…111111111101101
32121120000020212100
4330111333333231
54033133300414
6244243125313
734042154550
oct7425777755
92546006770
101012400109
1147a523206
12243073839
1313198c326
1498658697
155dd30609
hex3c57ffed

1012400109 has 24 divisors (see below), whose sum is σ = 1686065472. Its totient is φ = 573390720.

The previous prime is 1012400107. The next prime is 1012400113. The reversal of 1012400109 is 9010042101.

It is not a de Polignac number, because 1012400109 - 21 = 1012400107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012400091 and 1012400100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012400101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63987 + ... + 78224.

It is an arithmetic number, because the mean of its divisors is an integer number (70252728).

Almost surely, 21012400109 is an apocalyptic number.

It is an amenable number.

1012400109 is a deficient number, since it is larger than the sum of its proper divisors (673665363).

1012400109 is a wasteful number, since it uses less digits than its factorization.

1012400109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142337 (or 142334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1012400109 is about 31818.2354790457. The cubic root of 1012400109 is about 1004.1164016536.

The spelling of 1012400109 in words is "one billion, twelve million, four hundred thousand, one hundred nine".

Divisors: 1 3 7 9 21 63 113 339 791 1017 2373 7119 142211 426633 995477 1279899 2986431 8959293 16069843 48209529 112488901 144628587 337466703 1012400109