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1012103430 = 235138832939
BaseRepresentation
bin111100010100110…
…111100100000110
32121112110011220020
4330110313210012
54033044302210
6244232520010
734036510602
oct7424674406
92545404806
101012103430
1147a340318
12242b50006
131318b7290
14985bc502
155dcc2770
hex3c537906

1012103430 has 64 divisors (see below), whose sum is σ = 2619751680. Its totient is φ = 248766336.

The previous prime is 1012103413. The next prime is 1012103447. The reversal of 1012103430 is 343012101.

1012103430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012103413) and next prime (1012103447).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342901 + ... + 345839.

It is an arithmetic number, because the mean of its divisors is an integer number (40933620).

Almost surely, 21012103430 is an apocalyptic number.

1012103430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012103430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

1012103430 is an abundant number, since it is smaller than the sum of its proper divisors (1607648250).

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

1012103430 is a wasteful number, since it uses less digits than its factorization.

1012103430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1012103430 is about 31813.5730467359. The cubic root of 1012103430 is about 1004.0183082380.

Adding to 1012103430 its reverse (343012101), we get a palindrome (1355115531).

The spelling of 1012103430 in words is "one billion, twelve million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 883 1766 2649 2939 4415 5298 5878 8817 8830 11479 13245 14695 17634 22958 26490 29390 34437 38207 44085 57395 68874 76414 88170 114621 114790 172185 191035 229242 344370 382070 573105 1146210 2595137 5190274 7785411 12975685 15570822 25951370 33736781 38927055 67473562 77854110 101210343 168683905 202420686 337367810 506051715 1012103430