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1261103712 = 2531110711161
BaseRepresentation
bin100101100101010…
…1110101001100000
310020212222201001220
41023022232221200
510040320304322
6325045455040
743152130131
oct11312565140
93225881056
101261103712
11597950980
122b2411480
1317136991b
14bd6b7c88
1575aaa55c
hex4b2aea60

1261103712 has 96 divisors (see below), whose sum is σ = 3645419904. Its totient is φ = 378547200.

The previous prime is 1261103659. The next prime is 1261103729. The reversal of 1261103712 is 2173011621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107412 + ... + 118572.

It is an arithmetic number, because the mean of its divisors is an integer number (37973124).

Almost surely, 21261103712 is an apocalyptic number.

1261103712 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 1261103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822709952).

1261103712 is an abundant number, since it is smaller than the sum of its proper divisors (2384316192).

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

1261103712 is a wasteful number, since it uses less digits than its factorization.

1261103712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1261103712 is about 35512.0220770375. The cubic root of 1261103712 is about 1080.3975765317.

The spelling of 1261103712 in words is "one billion, two hundred sixty-one million, one hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 107 132 176 214 264 321 352 428 528 642 856 1056 1177 1284 1712 2354 2568 3424 3531 4708 5136 7062 9416 10272 11161 14124 18832 22322 28248 33483 37664 44644 56496 66966 89288 112992 122771 133932 178576 245542 267864 357152 368313 491084 535728 736626 982168 1071456 1194227 1473252 1964336 2388454 2946504 3582681 3928672 4776908 5893008 7165362 9553816 11786016 13136497 14330724 19107632 26272994 28661448 38215264 39409491 52545988 57322896 78818982 105091976 114645792 157637964 210183952 315275928 420367904 630551856 1261103712