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1103233122 = 23517671993
BaseRepresentation
bin100000111000010…
…0000000001100010
32211212221001100000
41001300200001202
54224411424442
6301250040430
736224220045
oct10160400142
92755831300
101103233122
11516823412
12269579116
13147743484
14a6740c5c
1566cc3d4c
hex41c20062

1103233122 has 96 divisors (see below), whose sum is σ = 2665196352. Its totient is φ = 340775424.

The previous prime is 1103233121. The next prime is 1103233151. The reversal of 1103233122 is 2213323011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1103233095 and 1103233104.

It is not an unprimeable number, because it can be changed into a prime (1103233121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552558 + ... + 554550.

It is an arithmetic number, because the mean of its divisors is an integer number (27762462).

Almost surely, 21103233122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332598176).

1103233122 is an abundant number, since it is smaller than the sum of its proper divisors (1561963230).

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

1103233122 is a wasteful number, since it uses less digits than its factorization.

1103233122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1103233122 is about 33214.9532891437. The cubic root of 1103233122 is about 1033.2904860717.

Adding to 1103233122 its reverse (2213323011), we get a palindrome (3316556133).

It can be divided in two parts, 1103233 and 122, that added together give a triangular number (1103355 = T1485).

The spelling of 1103233122 in words is "one billion, one hundred three million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 67 81 102 134 153 162 201 243 306 402 459 486 603 918 1139 1206 1377 1809 1993 2278 2754 3417 3618 3986 4131 5427 5979 6834 8262 10251 10854 11958 16281 17937 20502 30753 32562 33881 35874 53811 61506 67762 92259 101643 107622 133531 161433 184518 203286 267062 276777 304929 322866 400593 484299 553554 609858 801186 914787 968598 1201779 1829574 2270027 2403558 2744361 3605337 4540054 5488722 6810081 7210674 8233083 10816011 13620162 16466166 20430243 21632022 32448033 40860486 61290729 64896066 122581458 183872187 367744374 551616561 1103233122