Search a number
-
+
1011112120032 = 253710889138179
BaseRepresentation
bin11101011011010101111…
…10101000111011100000
310120122212010211121111020
432231222332220323200
5113031224200320112
62052255401445440
7133023205133310
oct16555276507340
93518763747436
101011112120032
1135a8a0483173
12143b634a0880
13744694bb4b1
1436d1c181440
151b47c0a148c
hexeb6afa8ee0

1011112120032 has 96 divisors (see below), whose sum is σ = 3033636883200. Its totient is φ = 288860556288.

The previous prime is 1011112120013. The next prime is 1011112120103. The reversal of 1011112120032 is 2300212111101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011112119993 and 1011112120020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7248319 + ... + 7386497.

It is an arithmetic number, because the mean of its divisors is an integer number (31600384200).

Almost surely, 21011112120032 is an apocalyptic number.

1011112120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011112120032 is an abundant number, since it is smaller than the sum of its proper divisors (2022524763168).

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

1011112120032 is a wasteful number, since it uses less digits than its factorization.

1011112120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149088 (or 149080 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1011112120032 its reverse (2300212111101), we get a palindrome (3311324231133).

The spelling of 1011112120032 in words is "one trillion, eleven billion, one hundred twelve million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 10889 21778 32667 43556 65334 76223 87112 130668 138179 152446 174224 228669 261336 276358 304892 348448 414537 457338 522672 552716 609784 829074 914676 967253 1045344 1105432 1219568 1658148 1829352 1934506 2210864 2439136 2901759 3316296 3658704 3869012 4421728 5803518 6632592 7317408 7738024 11607036 13265184 15476048 23214072 30952096 46428144 92856288 1504631131 3009262262 4513893393 6018524524 9027786786 10532417917 12037049048 18055573572 21064835834 24074098096 31597253751 36111147144 42129671668 48148196192 63194507502 72222294288 84259343336 126389015004 144444588576 168518686672 252778030008 337037373344 505556060016 1011112120032