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1101311104 = 2771179677
BaseRepresentation
bin100000110100100…
…1010110010000000
32211202022101211011
41001221022302000
54223413423404
6301140530304
736201663355
oct10151126200
92752271734
101101311104
11515730373
122689b0994
1314721c69a
14a63a062c
1566a44604
hex41a4ac80

1101311104 has 64 divisors (see below), whose sum is σ = 2240654400. Its totient is φ = 539069440.

The previous prime is 1101311087. The next prime is 1101311129. The reversal of 1101311104 is 4011131011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11013111042 = 2425772295587397632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1626414 + ... + 1627090.

It is an arithmetic number, because the mean of its divisors is an integer number (35010225).

Almost surely, 21101311104 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 1101311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120327200).

1101311104 is an abundant number, since it is smaller than the sum of its proper divisors (1139343296).

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

1101311104 is an equidigital number, since it uses as much as digits as its factorization.

1101311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1101311104 is about 33186.0076538290. The cubic root of 1101311104 is about 1032.6900818873.

Adding to 1101311104 its reverse (4011131011), we get a palindrome (5112442115).

The spelling of 1101311104 in words is "one billion, one hundred one million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 71 128 142 179 284 358 568 677 716 1136 1354 1432 2272 2708 2864 4544 5416 5728 9088 10832 11456 12709 21664 22912 25418 43328 48067 50836 86656 96134 101672 121183 192268 203344 242366 384536 406688 484732 769072 813376 969464 1538144 1626752 1938928 3076288 3877856 6152576 7755712 8603993 15511424 17207986 34415972 68831944 137663888 275327776 550655552 1101311104