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1031213140 = 2253141113359
BaseRepresentation
bin111101011101110…
…001000001010100
32122212102001111021
4331131301001110
54102442310030
6250154250524
734361111206
oct7535610124
92585361437
101031213140
1148a102771
12249426a44
131358483b9
149ad54776
15607e997a
hex3d771054

1031213140 has 96 divisors (see below), whose sum is σ = 2316625920. Its totient is φ = 384921600.

The previous prime is 1031213129. The next prime is 1031213153. The reversal of 1031213140 is 413121301.

1031213140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2872281 + ... + 2872639.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 21031213140 is an apocalyptic number.

1031213140 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 1031213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

1031213140 is an abundant number, since it is smaller than the sum of its proper divisors (1285412780).

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

1031213140 is a wasteful number, since it uses less digits than its factorization.

1031213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1031213140 is about 32112.5075321128. The cubic root of 1031213140 is about 1010.2979678318.

Adding to 1031213140 its reverse (413121301), we get a palindrome (1444334441).

The spelling of 1031213140 in words is "one billion, thirty-one million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 113 124 155 164 205 226 310 359 410 452 565 620 718 820 1130 1271 1436 1795 2260 2542 3503 3590 4633 5084 6355 7006 7180 9266 11129 12710 14012 14719 17515 18532 22258 23165 25420 29438 35030 40567 44516 46330 55645 58876 70060 73595 81134 92660 111290 143623 147190 162268 202835 222580 287246 294380 405670 456289 574492 718115 811340 912578 1257577 1436230 1663247 1825156 2281445 2515154 2872460 3326494 4562890 5030308 6287885 6652988 8316235 9125780 12575770 16632470 25151540 33264940 51560657 103121314 206242628 257803285 515606570 1031213140