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1022103104 = 261117412083
BaseRepresentation
bin111100111011000…
…000111001000000
32122020021012212112
4330323000321000
54043124244404
6245231114452
734220506301
oct7473007100
92566235775
101022103104
11484a50210
12246372a28
131339a8949
1499a627a8
155eaea56e
hex3cec0e40

1022103104 has 112 divisors (see below), whose sum is σ = 2401068096. Its totient is φ = 426393600.

The previous prime is 1022103101. The next prime is 1022103107. The reversal of 1022103104 is 4013012201.

It is an interprime number because it is at equal distance from previous prime (1022103101) and next prime (1022103107).

It is not an unprimeable number, because it can be changed into a prime (1022103101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 489647 + ... + 491729.

It is an arithmetic number, because the mean of its divisors is an integer number (21438108).

Almost surely, 21022103104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200534048).

1022103104 is an abundant number, since it is smaller than the sum of its proper divisors (1378964992).

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

1022103104 is a wasteful number, since it uses less digits than its factorization.

1022103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1022103104 is about 31970.3472611731. The cubic root of 1022103104 is about 1007.3140752133.

Adding to 1022103104 its reverse (4013012201), we get a palindrome (5035115305).

The spelling of 1022103104 in words is "one billion, twenty-two million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 41 44 64 68 82 88 136 164 176 187 272 328 352 374 451 544 656 697 704 748 902 1088 1312 1394 1496 1804 2083 2624 2788 2992 3608 4166 5576 5984 7216 7667 8332 11152 11968 14432 15334 16664 22304 22913 28864 30668 33328 35411 44608 45826 61336 66656 70822 85403 91652 122672 133312 141644 170806 183304 245344 283288 341612 366608 389521 490688 566576 683224 733216 779042 939433 1133152 1366448 1451851 1466432 1558084 1878866 2266304 2732896 2903702 3116168 3757732 5465792 5807404 6232336 7515464 11614808 12464672 15030928 15970361 23229616 24929344 30061856 31940722 46459232 60123712 63881444 92918464 127762888 255525776 511051552 1022103104