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1012212520 = 2351123293449
BaseRepresentation
bin111100010101010…
…010001100101000
32121112122201112121
4330111102030220
54033111300040
6244235121024
734040443624
oct7425221450
92545581477
101012212520
1147a405280
12242ba3174
13131924b27
149860a184
155dce4c4a
hex3c552328

1012212520 has 128 divisors (see below), whose sum is σ = 2682720000. Its totient is φ = 339834880.

The previous prime is 1012212449. The next prime is 1012212547. The reversal of 1012212520 is 252122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012212494 and 1012212503.

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 31 ways as a sum of consecutive naturals, for example, 291756 + ... + 295204.

It is an arithmetic number, because the mean of its divisors is an integer number (20958750).

Almost surely, 21012212520 is an apocalyptic number.

1012212520 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 1012212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341360000).

1012212520 is an abundant number, since it is smaller than the sum of its proper divisors (1670507480).

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

1012212520 is a wasteful number, since it uses less digits than its factorization.

1012212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1012212520 is about 31815.2875203101. The cubic root of 1012212520 is about 1004.0543797892.

Adding to 1012212520 its reverse (252122101), we get a palindrome (1264334621).

The spelling of 1012212520 in words is "one billion, twelve million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 29 40 44 46 55 58 88 92 110 115 116 145 184 220 230 232 253 290 319 440 460 506 580 638 667 920 1012 1160 1265 1276 1334 1595 2024 2530 2552 2668 3190 3335 3449 5060 5336 6380 6670 6898 7337 10120 12760 13340 13796 14674 17245 26680 27592 29348 34490 36685 37939 58696 68980 73370 75878 79327 100021 137960 146740 151756 158654 189695 200042 293480 303512 317308 379390 396635 400084 500105 634616 758780 793270 800168 872597 1000210 1100231 1517560 1586540 1745194 2000420 2200462 2300483 3173080 3490388 4000840 4362985 4400924 4600966 5501155 6980776 8725970 8801848 9201932 11002310 11502415 17451940 18403864 22004620 23004830 25305313 34903880 44009240 46009660 50610626 92019320 101221252 126526565 202442504 253053130 506106260 1012212520