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1101313332 = 2232773131457
BaseRepresentation
bin100000110100100…
…1011010100110100
32211202022111212200
41001221023110310
54223414011312
6301140544500
736202003020
oct10151132464
92752274780
101101313332
11515732009
122689b2130
131472206c2
14a63a1380
1566a450dc
hex41a4b534

1101313332 has 144 divisors (see below), whose sum is σ = 3256885632. Its totient is φ = 307307520.

The previous prime is 1101313327. The next prime is 1101313351. The reversal of 1101313332 is 2333131011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2409648 + ... + 2410104.

Almost surely, 21101313332 is an apocalyptic number.

1101313332 is a gapful number since it is divisible by the number (12) 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 1101313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628442816).

1101313332 is an abundant number, since it is smaller than the sum of its proper divisors (2155572300).

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

1101313332 is a wasteful number, since it uses less digits than its factorization.

1101313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1101313332 is about 33186.0412221765. The cubic root of 1101313332 is about 1032.6907782791.

Adding to 1101313332 its reverse (2333131011), we get a palindrome (3434444343).

The spelling of 1101313332 in words is "one billion, one hundred one million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 131 146 219 252 262 292 393 438 457 511 524 657 786 876 914 917 1022 1179 1314 1371 1533 1572 1828 1834 2044 2358 2628 2742 2751 3066 3199 3668 4113 4599 4716 5484 5502 6132 6398 8226 8253 9198 9563 9597 11004 12796 16452 16506 18396 19126 19194 28689 28791 33012 33361 38252 38388 57378 57582 59867 66722 66941 86067 100083 114756 115164 119734 133444 133882 172134 179601 200166 200823 233527 239468 267764 300249 344268 359202 400332 401646 419069 467054 538803 600498 602469 700581 718404 803292 838138 934108 1077606 1200996 1204938 1257207 1401162 1676276 2101743 2155212 2409876 2514414 2802324 3771621 4203486 4370291 5028828 7543242 8406972 8740582 13110873 15086484 17481164 26221746 30592037 39332619 52443492 61184074 78665238 91776111 122368148 157330476 183552222 275328333 367104444 550656666 1101313332