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10144021122 = 233302362141
BaseRepresentation
bin10010111001010000…
…10111101010000010
3222011221202122222000
421130220113222002
5131233332133442
64354325324430
7506243520414
oct113450275202
928157678860
1010144021122
114336043234
121b71266716
13c587a4b81
146c33329b4
153e585ad4c
hex25ca17a82

10144021122 has 32 divisors (see below), whose sum is σ = 22550088960. Its totient is φ = 3380167440.

The previous prime is 10144021103. The next prime is 10144021123. The reversal of 10144021122 is 22112044101.

10144021122 is a `hidden beast` number, since 10 + 1 + 440 + 211 + 2 + 2 = 666.

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 = 10144021095 and 10144021104.

It is not an unprimeable number, because it can be changed into a prime (10144021123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132172 + ... + 194312.

It is an arithmetic number, because the mean of its divisors is an integer number (704690280).

Almost surely, 210144021122 is an apocalyptic number.

10144021122 is an abundant number, since it is smaller than the sum of its proper divisors (12406067838).

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

10144021122 is a wasteful number, since it uses less digits than its factorization.

10144021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65175 (or 65169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10144021122 its reverse (22112044101), we get a palindrome (32256065223).

The spelling of 10144021122 in words is "ten billion, one hundred forty-four million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 3023 6046 9069 18138 27207 54414 62141 81621 124282 163242 186423 372846 559269 1118538 1677807 3355614 187852243 375704486 563556729 1127113458 1690670187 3381340374 5072010561 10144021122