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10232310021120 = 2103251191122159
BaseRepresentation
bin1001010011100110010100…
…1101000011110000000000
31100020012101021112001221200
42110321211031003300000
52320121232331133440
633432354111021200
72104155116056515
oct224714515036000
940205337461850
1010232310021120
113295553284310
12119310bb0a800
13592b972b2c95
1427536437530c
1512b274be1c30
hex94e65343c00

10232310021120 has 528 divisors, whose sum is σ = 38722045040640. Its totient is φ = 2477725286400.

The previous prime is 10232310021119. The next prime is 10232310021161. The reversal of 10232310021120 is 2112001323201.

10232310021120 is a `hidden beast` number, since 1 + 0 + 232 + 310 + 0 + 2 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a junction number, because it is equal to n+sod(n) for n = 10232310021093 and 10232310021102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461756601 + ... + 461778759.

Almost surely, 210232310021120 is an apocalyptic number.

10232310021120 is a gapful number since it is divisible by the number (10) 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 10232310021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361022520320).

10232310021120 is an abundant number, since it is smaller than the sum of its proper divisors (28489735019520).

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

10232310021120 is a wasteful number, since it uses less digits than its factorization.

10232310021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23112 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10232310021120 its reverse (2112001323201), we get a palindrome (12344311344321).

The spelling of 10232310021120 in words is "ten trillion, two hundred thirty-two billion, three hundred ten million, twenty-one thousand, one hundred twenty".