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1102142320 = 24541734603
BaseRepresentation
bin100000110110001…
…0101101101110000
32211210212122000221
41001230111231300
54224122023240
6301210422424
736212024626
oct10154255560
92753778027
101102142320
11516148924
12269131a14
13147450b26
14a6539516
1566b5aa4a
hex41b15b70

1102142320 has 80 divisors (see below), whose sum is σ = 2661517152. Its totient is φ = 424120320.

The previous prime is 1102142297. The next prime is 1102142341. The reversal of 1102142320 is 232412011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1102142294 and 1102142303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237139 + ... + 241741.

Almost surely, 21102142320 is an apocalyptic number.

1102142320 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 1102142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330758576).

1102142320 is an abundant number, since it is smaller than the sum of its proper divisors (1559374832).

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

1102142320 is a wasteful number, since it uses less digits than its factorization.

1102142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1102142320 is about 33198.5288830695. The cubic root of 1102142320 is about 1032.9498246157.

Adding to 1102142320 its reverse (232412011), we get a palindrome (1334554331).

The spelling of 1102142320 in words is "one billion, one hundred two million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 73 80 82 146 164 205 292 328 365 410 584 656 730 820 1168 1460 1640 2920 2993 3280 4603 5840 5986 9206 11972 14965 18412 23015 23944 29930 36824 46030 47888 59860 73648 92060 119720 184120 188723 239440 336019 368240 377446 672038 754892 943615 1344076 1509784 1680095 1887230 2688152 3019568 3360190 3774460 5376304 6720380 7548920 13440760 13776779 15097840 26881520 27553558 55107116 68883895 110214232 137767790 220428464 275535580 551071160 1102142320