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1003242141 = 321153712693
BaseRepresentation
bin111011110011000…
…100001010011101
32120220202222111100
4323303010022131
54023312222031
6243314543313
733601263126
oct7363041235
92526688440
101003242141
11475338740
1223bb97b39
1312cb03b05
149735304d
155d121de6
hex3bcc429d

1003242141 has 48 divisors (see below), whose sum is σ = 1633986432. Its totient is φ = 587932800.

The previous prime is 1003242109. The next prime is 1003242143. The reversal of 1003242141 is 1412423001.

It is not a de Polignac number, because 1003242141 - 25 = 1003242109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003242143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371191 + ... + 373883.

It is an arithmetic number, because the mean of its divisors is an integer number (34041384).

Almost surely, 21003242141 is an apocalyptic number.

1003242141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003242141 is a deficient number, since it is larger than the sum of its proper divisors (630744291).

1003242141 is a wasteful number, since it uses less digits than its factorization.

1003242141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1003242141 is about 31673.9978689145. The cubic root of 1003242141 is about 1001.0795478238.

Adding to 1003242141 its reverse (1412423001), we get a palindrome (2415665142).

The spelling of 1003242141 in words is "one billion, three million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 53 71 99 159 213 477 583 639 781 1749 2343 2693 3763 5247 7029 8079 11289 24237 29623 33867 41393 88869 124179 142729 191203 266607 372537 428187 573609 1284561 1570019 1720827 2103233 4710057 6309699 10133759 14130171 18929097 30401277 91203831 111471349 334414047 1003242141