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1011801312 = 253231113329
BaseRepresentation
bin111100010011101…
…101110011100000
32121111212211110200
4330103231303200
54033010120222
6244222225200
734034112024
oct7423556340
92544784420
101011801312
1147a154335
12242a25200
1313180c902
1498540384
155dc62eac
hex3c4edce0

1011801312 has 72 divisors (see below), whose sum is σ = 2970152640. Its totient is φ = 326384640.

The previous prime is 1011801283. The next prime is 1011801317. The reversal of 1011801312 is 2131081101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011801317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47737 + ... + 65592.

It is an arithmetic number, because the mean of its divisors is an integer number (41252120).

Almost surely, 21011801312 is an apocalyptic number.

1011801312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011801312 is an abundant number, since it is smaller than the sum of its proper divisors (1958351328).

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

1011801312 is a wasteful number, since it uses less digits than its factorization.

1011801312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113376 (or 113365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1011801312 is about 31808.8244359957. The cubic root of 1011801312 is about 1003.9183967792.

Adding to 1011801312 its reverse (2131081101), we get a palindrome (3142882413).

The spelling of 1011801312 in words is "one billion, eleven million, eight hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 113329 226658 339987 453316 679974 906632 1019961 1359948 1813264 2039922 2719896 3513199 3626528 4079844 5439792 7026398 8159688 10539597 10879584 14052796 16319376 21079194 28105592 31618791 32638752 42158388 56211184 63237582 84316776 112422368 126475164 168633552 252950328 337267104 505900656 1011801312