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1034203120 = 245113233491
BaseRepresentation
bin111101101001001…
…010111111110000
32200002000221222021
4331221022333300
54104223444440
6250342321224
734425403306
oct7551127760
92602027867
101034203120
11490865125
1224a429214
13136354312
149b4d2276
1560bda84a
hex3da4aff0

1034203120 has 80 divisors (see below), whose sum is σ = 2441174112. Its totient is φ = 407429120.

The previous prime is 1034203099. The next prime is 1034203139. The reversal of 1034203120 is 213024301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1034203094 and 1034203103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106075 + ... + 2106565.

Almost surely, 21034203120 is an apocalyptic number.

1034203120 is a gapful number since it is divisible by the number (10) 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 1034203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220587056).

1034203120 is an abundant number, since it is smaller than the sum of its proper divisors (1406970992).

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

1034203120 is a wasteful number, since it uses less digits than its factorization.

1034203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1034203120 is about 32159.0285922943. The cubic root of 1034203120 is about 1011.2734712596.

Adding to 1034203120 its reverse (213024301), we get a palindrome (1247227421).

The spelling of 1034203120 in words is "one billion, thirty-four million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 233 452 466 491 565 904 932 982 1130 1165 1808 1864 1964 2260 2330 2455 3728 3928 4520 4660 4910 7856 9040 9320 9820 18640 19640 26329 39280 52658 55483 105316 110966 114403 131645 210632 221932 228806 263290 277415 421264 443864 457612 526580 554830 572015 887728 915224 1053160 1109660 1144030 1830448 2106320 2219320 2288060 4438640 4576120 9152240 12927539 25855078 51710156 64637695 103420312 129275390 206840624 258550780 517101560 1034203120