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1261004112 = 24343131387
BaseRepresentation
bin100101100101001…
…0110010101010000
310020212210122110000
41023022112111100
510040304112422
6325043410000
743151233554
oct11312262520
93225718400
101261004112
11597893065
122b2383900
131713334a4
14bd68d864
1575a8acac
hex4b296550

1261004112 has 100 divisors (see below), whose sum is σ = 3767564416. Its totient is φ = 406762560.

The previous prime is 1261004099. The next prime is 1261004131. The reversal of 1261004112 is 2114001621.

1261004112 is a `hidden beast` number, since 1 + 2 + 610 + 0 + 41 + 12 = 666.

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 19 ways as a sum of consecutive naturals, for example, 24483 + ... + 55869.

Almost surely, 21261004112 is an apocalyptic number.

1261004112 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 1261004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883782208).

1261004112 is an abundant number, since it is smaller than the sum of its proper divisors (2506560304).

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

1261004112 is a wasteful number, since it uses less digits than its factorization.

1261004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31438 (or 31423 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1261004112 is about 35510.6197073495. The cubic root of 1261004112 is about 1080.3691330789.

Adding to 1261004112 its reverse (2114001621), we get a palindrome (3375005733).

The spelling of 1261004112 in words is "one billion, two hundred sixty-one million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 13392 20088 31387 40176 62774 94161 125548 188322 251096 282483 376644 502192 564966 753288 847449 972997 1129932 1506576 1694898 1945994 2259864 2542347 2918991 3389796 3891988 4519728 5084694 5837982 6779592 7783976 8756973 10169388 11675964 13559184 15567952 17513946 20338776 23351928 26270919 35027892 40677552 46703856 52541838 70055784 78812757 105083676 140111568 157625514 210167352 315251028 420334704 630502056 1261004112