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10142211424 = 2517178710433
BaseRepresentation
bin10010111001000010…
…11101110101100000
3222011211100201112011
421130201131311200
5131232401231144
64354222442304
7506222242342
oct113441356540
928154321464
1010142211424
114335017614
121b70733394
13c582c0247
146c2dc1292
153e55eea34
hex25c85dd60

10142211424 has 48 divisors (see below), whose sum is σ = 21155894928. Its totient is φ = 4769677312.

The previous prime is 10142211389. The next prime is 10142211433. The reversal of 10142211424 is 42411224101.

It is a super-2 number, since 2×101422114242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10142211395 and 10142211404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966912 + ... + 977344.

It is an arithmetic number, because the mean of its divisors is an integer number (440747811).

Almost surely, 210142211424 is an apocalyptic number.

It is an amenable number.

10142211424 is an abundant number, since it is smaller than the sum of its proper divisors (11013683504).

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

10142211424 is a wasteful number, since it uses less digits than its factorization.

10142211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12247 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10142211424 its reverse (42411224101), we get a palindrome (52553435525).

The spelling of 10142211424 in words is "ten billion, one hundred forty-two million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1787 3574 7148 10433 14296 20866 28592 30379 41732 57184 60758 83464 121516 166928 177361 243032 333856 354722 486064 709444 972128 1418888 2837776 5675552 18643771 37287542 74575084 149150168 298300336 316944107 596600672 633888214 1267776428 2535552856 5071105712 10142211424