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1003220140 = 2251319316551
BaseRepresentation
bin111011110010111…
…110110010101100
32120220201212022111
4323302332302230
54023311021030
6243314253404
733601142026
oct7362766254
92526655274
101003220140
1147532315a
1223bb87264
1312cac6ab0
1497349016
155d11a62a
hex3bcbecac

1003220140 has 96 divisors (see below), whose sum is σ = 2465648640. Its totient is φ = 339552000.

The previous prime is 1003220107. The next prime is 1003220161. The reversal of 1003220140 is 410223001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1003220140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149865 + ... + 156415.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 21003220140 is an apocalyptic number.

1003220140 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 1003220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

1003220140 is an abundant number, since it is smaller than the sum of its proper divisors (1462428500).

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

1003220140 is a wasteful number, since it uses less digits than its factorization.

1003220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1003220140 is about 31673.6505632047. The cubic root of 1003220140 is about 1001.0722299121.

Adding to 1003220140 its reverse (410223001), we get a palindrome (1413443141).

The spelling of 1003220140 in words is "one billion, three million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 190 247 260 310 380 403 494 589 620 806 988 1178 1235 1612 2015 2356 2470 2945 4030 4940 5890 6551 7657 8060 11780 13102 15314 26204 30628 32755 38285 65510 76570 85163 124469 131020 153140 170326 203081 248938 340652 406162 425815 497876 622345 812324 851630 1015405 1244690 1618097 1703260 2030810 2489380 2640053 3236194 3858539 4061620 5280106 6472388 7717078 8090485 10560212 13200265 15434156 16180970 19292695 26400530 32361940 38585390 50161007 52801060 77170780 100322014 200644028 250805035 501610070 1003220140