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101131004 = 221329199337
BaseRepresentation
bin1100000011100…
…10001011111100
321001021222122202
412001302023330
5201342143004
614011331032
72335412402
oct601621374
9231258582
10101131004
11520a4247
1229a50a78
1317c4b540
14d607472
158d29b1e
hex60722fc

101131004 has 48 divisors (see below), whose sum is σ = 198744000. Its totient is φ = 44706816.

The previous prime is 101131003. The next prime is 101131013. The reversal of 101131004 is 400131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131003) 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 15 ways as a sum of consecutive naturals, for example, 299924 + ... + 300260.

It is an arithmetic number, because the mean of its divisors is an integer number (4140500).

Almost surely, 2101131004 is an apocalyptic number.

It is an amenable number.

101131004 is a deficient number, since it is larger than the sum of its proper divisors (97612996).

101131004 is a wasteful number, since it uses less digits than its factorization.

101131004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101131004 is about 10056.3912016190. The cubic root of 101131004 is about 465.9022125918.

Adding to 101131004 its reverse (400131101), we get a palindrome (501262105).

The spelling of 101131004 in words is "one hundred one million, one hundred thirty-one thousand, four".

Divisors: 1 2 4 13 26 29 52 58 116 199 337 377 398 674 754 796 1348 1508 2587 4381 5174 5771 8762 9773 10348 11542 17524 19546 23084 39092 67063 75023 127049 134126 150046 254098 268252 300092 508196 871819 1743638 1944827 3487276 3889654 7779308 25282751 50565502 101131004