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1105199104 = 2211731
BaseRepresentation
bin100000111100000…
…0000000000000000
32212000121221011011
41001320000000000
54230412332404
6301400130304
736250015552
oct10170000000
92760557134
101105199104
11517946499
1226a166994
13147c81289
14a6ad34d2
1567061604
hex41e00000

1105199104 has 88 divisors (see below), whose sum is σ = 2415918528. Its totient is φ = 503316480.

The previous prime is 1105199101. The next prime is 1105199297. The reversal of 1105199104 is 4019915011.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105199101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35651569 + ... + 35651599.

Almost surely, 21105199104 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 1105199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207959264).

1105199104 is an abundant number, since it is smaller than the sum of its proper divisors (1310719424).

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

1105199104 is an frugal number, since it uses more digits than its factorization.

1105199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 31.

The square root of 1105199104 is about 33244.5349493718. The cubic root of 1105199104 is about 1033.9039028152.

The spelling of 1105199104 in words is "one billion, one hundred five million, one hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 512 527 544 992 1024 1054 1088 1984 2048 2108 2176 3968 4096 4216 4352 7936 8192 8432 8704 15872 16384 16864 17408 31744 32768 33728 34816 63488 65536 67456 69632 126976 131072 134912 139264 253952 262144 269824 278528 507904 524288 539648 557056 1015808 1048576 1079296 1114112 2031616 2097152 2158592 2228224 4063232 4317184 4456448 8126464 8634368 8912896 16252928 17268736 17825792 32505856 34537472 35651584 65011712 69074944 138149888 276299776 552599552 1105199104