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110010021210120 = 233523593891736687
BaseRepresentation
bin11001000000110110110100…
…001111000110100000001000
3112102111212002112020000001110
4121000312310033012200020
5103404401010412210440
61025545523413050320
732112650610430563
oct3100666417064010
9472455075200043
10110010021210120
1132063a96021729
12104088196269a0
13494cb924a6aa5
141d24728c254da
15cab92e3b0080
hex640db43c6808

110010021210120 has 256 divisors, whose sum is σ = 351116633088000. Its totient is φ = 27513996747776.

The previous prime is 110010021210119. The next prime is 110010021210139. The reversal of 110010021210120 is 21012120010011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110010021210096 and 110010021210105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62476417 + ... + 64213103.

It is an arithmetic number, because the mean of its divisors is an integer number (1371549348000).

Almost surely, 2110010021210120 is an apocalyptic number.

110010021210120 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 110010021210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175558316544000).

110010021210120 is an abundant number, since it is smaller than the sum of its proper divisors (241106611877880).

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

110010021210120 is a wasteful number, since it uses less digits than its factorization.

110010021210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737172 (or 1737168 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110010021210120 its reverse (21012120010011), we get a palindrome (131022141220131).

The spelling of 110010021210120 in words is "one hundred ten trillion, ten billion, twenty-one million, two hundred ten thousand, one hundred twenty".