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1002031140 = 2235116124889
BaseRepresentation
bin111011101110011…
…100100000100100
32120211111110022110
4323232130200210
54023004444030
6243233001020
733555060405
oct7356344044
92524443273
101002031140
11474690910
1223b6b3170
1312c79b846
14971199ac
155ce831b0
hex3bb9c824

1002031140 has 96 divisors (see below), whose sum is σ = 3111050880. Its totient is φ = 238924800.

The previous prime is 1002031111. The next prime is 1002031169. The reversal of 1002031140 is 411302001.

It is a happy number.

1002031140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002031111) and next prime (1002031169).

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

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, 27816 + ... + 52704.

It is an arithmetic number, because the mean of its divisors is an integer number (32406780).

Almost surely, 21002031140 is an apocalyptic number.

1002031140 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 1002031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555525440).

1002031140 is an abundant number, since it is smaller than the sum of its proper divisors (2109019740).

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

1002031140 is a wasteful number, since it uses less digits than its factorization.

1002031140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24973 (or 24971 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1002031140 is about 31654.8754538697. The cubic root of 1002031140 is about 1000.6765887910.

Adding to 1002031140 its reverse (411302001), we get a palindrome (1413333141).

The spelling of 1002031140 in words is "one billion, two million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 24889 40260 49778 74667 99556 124445 149334 248890 273779 298668 373335 497780 547558 746670 821337 1095116 1368895 1493340 1518229 1642674 2737790 3036458 3285348 4106685 4554687 5475580 6072916 7591145 8213370 9109374 15182290 16426740 16700519 18218748 22773435 30364580 33401038 45546870 50101557 66802076 83502595 91093740 100203114 167005190 200406228 250507785 334010380 501015570 1002031140