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10230133120 = 275139114997
BaseRepresentation
bin10011000011100001…
…10111000110000000
3222101221210121102021
421201300313012000
5131422403224440
64411043131224
7511340460664
oct114160670600
928357717367
1010230133120
11437a709479
121b96073b14
13c7059520c
146d094a8a4
153ed1ba84a
hex261c37180

10230133120 has 64 divisors (see below), whose sum is σ = 24632571600. Its totient is φ = 4062578688.

The previous prime is 10230133097. The next prime is 10230133127. The reversal of 10230133120 is 2133103201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10230133094 and 10230133103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230133127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31462 + ... + 146458.

Almost surely, 210230133120 is an apocalyptic number.

10230133120 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 10230133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316285800).

10230133120 is an abundant number, since it is smaller than the sum of its proper divisors (14402438480).

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

10230133120 is a wasteful number, since it uses less digits than its factorization.

10230133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115155 (or 115143 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10230133120 its reverse (2133103201), we get a palindrome (12363236321).

The spelling of 10230133120 in words is "ten billion, two hundred thirty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 278 320 556 640 695 1112 1390 2224 2780 4448 5560 8896 11120 17792 22240 44480 88960 114997 229994 459988 574985 919976 1149970 1839952 2299940 3679904 4599880 7359808 9199760 14719616 15984583 18399520 31969166 36799040 63938332 73598080 79922915 127876664 159845830 255753328 319691660 511506656 639383320 1023013312 1278766640 2046026624 2557533280 5115066560 10230133120