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1102023120 = 2435111014133
BaseRepresentation
bin100000110101111…
…1000100111010000
32211210122120112010
41001223320213100
54224104214440
6301204102520
736211020252
oct10153704720
92753576463
101102023120
11516077310
12269094a40
1314740b7b3
14a6507cd2
1566b35580
hex41af89d0

1102023120 has 160 divisors (see below), whose sum is σ = 3764651904. Its totient is φ = 264448000.

The previous prime is 1102023089. The next prime is 1102023137. The reversal of 1102023120 is 213202011.

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 = 1102023096 and 1102023105.

It is a congruent number.

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, 264574 + ... + 268706.

Almost surely, 21102023120 is an apocalyptic number.

1102023120 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 1102023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882325952).

1102023120 is an abundant number, since it is smaller than the sum of its proper divisors (2662628784).

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

1102023120 is a wasteful number, since it uses less digits than its factorization.

1102023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4255 counting only the distinct ones).

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

The square root of 1102023120 is about 33196.7335742540. The cubic root of 1102023120 is about 1032.9125843985.

Adding to 1102023120 its reverse (213202011), we get a palindrome (1315225131).

The spelling of 1102023120 in words is "one billion, one hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4133 4444 4848 5555 6060 6666 8080 8266 8888 11110 12120 12399 13332 16532 16665 17776 20665 22220 24240 24798 26664 33064 33330 41330 44440 45463 49596 53328 61995 66128 66660 82660 88880 90926 99192 123990 133320 136389 165320 181852 198384 227315 247980 266640 272778 330640 363704 417433 454630 495960 545556 681945 727408 834866 909260 991920 1091112 1252299 1363890 1669732 1818520 2087165 2182224 2504598 2727780 3339464 3637040 4174330 4591763 5009196 5455560 6261495 6678928 8348660 9183526 10018392 10911120 12522990 13775289 16697320 18367052 20036784 22958815 25045980 27550578 33394640 36734104 45917630 50091960 55101156 68876445 73468208 91835260 100183920 110202312 137752890 183670520 220404624 275505780 367341040 551011560 1102023120