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1031013120 = 2835268493
BaseRepresentation
bin111101011101000…
…000001100000000
32122212000220010010
4331131000030000
54102414404440
6250150104520
734356316104
oct7535001400
92585026103
101031013120
11489a86465
1224934b140
131357a8347
149ad01904
15607aa580
hex3d740300

1031013120 has 72 divisors (see below), whose sum is σ = 3292810416. Its totient is φ = 274935808.

The previous prime is 1031013119. The next prime is 1031013149. The reversal of 1031013120 is 213101301.

It is a super-2 number, since 2×10310131202 = 2125976107224268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1031013096 and 1031013105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130407 + ... + 138086.

It is an arithmetic number, because the mean of its divisors is an integer number (45733478).

Almost surely, 21031013120 is an apocalyptic number.

1031013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031013120 is an abundant number, since it is smaller than the sum of its proper divisors (2261797296).

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

1031013120 is an equidigital number, since it uses as much as digits as its factorization.

1031013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268517 (or 268503 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1031013120 is about 32109.3930182431. The cubic root of 1031013120 is about 1010.2326425501.

Adding to 1031013120 its reverse (213101301), we get a palindrome (1244114421).

The spelling of 1031013120 in words is "one billion, thirty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 268493 536986 805479 1073972 1342465 1610958 2147944 2684930 3221916 4027395 4295888 5369860 6443832 8054790 8591776 10739720 12887664 16109580 17183552 21479440 25775328 32219160 34367104 42958880 51550656 64438320 68734208 85917760 103101312 128876640 171835520 206202624 257753280 343671040 515506560 1031013120