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1013240412 = 223237799629
BaseRepresentation
bin111100011001001…
…101001001011100
32121121120221112200
4330121031021130
54033342143122
6244313131500
734052254452
oct7431151134
92547527480
101013240412
1147aa47578
122433b9b90
13131bc4952
14987d69d2
155de495ac
hex3c64d25c

1013240412 has 72 divisors (see below), whose sum is σ = 2664043200. Its totient is φ = 324425088.

The previous prime is 1013240411. The next prime is 1013240441. The reversal of 1013240412 is 2140423101.

1013240412 is a `hidden beast` number, since 1 + 0 + 13 + 240 + 412 = 666.

1013240412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10132404122 = 2053312265019859488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013240411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100414 + ... + 110042.

It is an arithmetic number, because the mean of its divisors is an integer number (37000600).

Almost surely, 21013240412 is an apocalyptic number.

1013240412 is a gapful number since it is divisible by the number (12) 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 1013240412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332021600).

1013240412 is an abundant number, since it is smaller than the sum of its proper divisors (1650802788).

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

1013240412 is a wasteful number, since it uses less digits than its factorization.

1013240412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1013240412 is about 31831.4374793222. The cubic root of 1013240412 is about 1004.3941339721.

Adding to 1013240412 its reverse (2140423101), we get a palindrome (3153663513).

The spelling of 1013240412 in words is "one billion, thirteen million, two hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 666 711 948 1332 1422 2844 2923 5846 8769 9629 11692 17538 19258 26307 28887 35076 38516 52614 57774 86661 105228 115548 173322 346644 356273 712546 760691 1068819 1425092 1521382 2137638 2282073 3042764 3206457 4275276 4564146 6412914 6846219 9128292 12825828 13692438 27384876 28145567 56291134 84436701 112582268 168873402 253310103 337746804 506620206 1013240412