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1012103424 = 283448809
BaseRepresentation
bin111100010100110…
…111100100000000
32121112110011220000
4330110313210000
54033044302144
6244232520000
734036510563
oct7424674400
92545404800
101012103424
1147a340312
12242b50000
131318b7287
14985bc4da
155dcc2769
hex3c537900

1012103424 has 90 divisors (see below), whose sum is σ = 3017971110. Its totient is φ = 337360896.

The previous prime is 1012103413. The next prime is 1012103447. The reversal of 1012103424 is 4243012101.

It can be written as a sum of positive squares in only one way, i.e., 804743424 + 207360000 = 28368^2 + 14400^2 .

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 = 1012103397 and 1012103406.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3669 + ... + 45140.

Almost surely, 21012103424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508985555).

1012103424 is an abundant number, since it is smaller than the sum of its proper divisors (2005867686).

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

1012103424 is an frugal number, since it uses more digits than its factorization.

1012103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48837 (or 48814 counting only the distinct ones).

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

The square root of 1012103424 is about 31813.5729524365. The cubic root of 1012103424 is about 1004.0183062539.

Adding to 1012103424 its reverse (4243012101), we get a palindrome (5255115525).

The spelling of 1012103424 in words is "one billion, twelve million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 48809 97618 146427 195236 292854 390472 439281 585708 780944 878562 1171416 1317843 1561888 1757124 2342832 2635686 3123776 3514248 3953529 4685664 5271372 6247552 7028496 7907058 9371328 10542744 12495104 14056992 15814116 18742656 21085488 28113984 31628232 37485312 42170976 56227968 63256464 84341952 112455936 126512928 168683904 253025856 337367808 506051712 1012103424