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1001313950 = 252713312229
BaseRepresentation
bin111011101011101…
…101011010011110
32120210011000111212
4323223231122132
54022314021300
6243205344422
733546012440
oct7353553236
92523130455
101001313950
11474240a9a
1223b408112
1312c5aa280
1496db0490
155cd90935
hex3baed69e

1001313950 has 144 divisors (see below), whose sum is σ = 2378910240. Its totient is φ = 305337600.

The previous prime is 1001313913. The next prime is 1001313959. The reversal of 1001313950 is 593131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001313959) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4372436 + ... + 4372664.

It is an arithmetic number, because the mean of its divisors is an integer number (16520210).

Almost surely, 21001313950 is an apocalyptic number.

1001313950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001313950 is an abundant number, since it is smaller than the sum of its proper divisors (1377596290).

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

1001313950 is a wasteful number, since it uses less digits than its factorization.

1001313950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 1001313950 is about 31643.5451553709. The cubic root of 1001313950 is about 1000.4377916438.

Adding to 1001313950 its reverse (593131001), we get a palindrome (1594444951).

The spelling of 1001313950 in words is "one billion, one million, three hundred thirteen thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 31 35 50 62 65 70 91 130 155 175 182 217 229 310 325 350 403 434 455 458 650 775 806 910 961 1085 1145 1550 1603 1922 2015 2170 2275 2290 2821 2977 3206 4030 4550 4805 5425 5642 5725 5954 6727 7099 8015 9610 10075 10850 11450 12493 13454 14105 14198 14885 16030 20150 20839 24025 24986 28210 29770 33635 35495 40075 41678 48050 49693 62465 67270 70525 70990 74425 80150 87451 92287 99386 104195 124930 141050 148850 168175 174902 177475 184574 208390 220069 248465 312325 336350 354950 437255 440138 461435 496930 520975 624650 646009 874510 922870 1041950 1100345 1242325 1292018 1540483 2186275 2200690 2307175 2484650 2860897 3080966 3230045 4372550 4614350 5501725 5721794 6460090 7702415 11003450 14304485 15404830 16150225 20026279 28608970 32300450 38512075 40052558 71522425 77024150 100131395 143044850 200262790 500656975 1001313950