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101140302431 = 7316077611009
BaseRepresentation
bin101111000110001101…
…1101000101001011111
3100200001122022201010002
41132030123220221133
53124113404134211
6114244015404515
710210231246250
oct1361433505137
9320048281102
10101140302431
1139991078203
121772782373b
1396cab317cc
144c76690b27
15296e3d203b
hex178c6e8a5f

101140302431 has 32 divisors (see below), whose sum is σ = 119789813760. Its totient is φ = 83564006400.

The previous prime is 101140302379. The next prime is 101140302437. The reversal of 101140302431 is 134203041101.

It is not a de Polignac number, because 101140302431 - 226 = 101073193567 is a prime.

It is a super-2 number, since 2×1011403024312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101140302437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100237655 + ... + 100238663.

It is an arithmetic number, because the mean of its divisors is an integer number (3743431680).

Almost surely, 2101140302431 is an apocalyptic number.

101140302431 is a deficient number, since it is larger than the sum of its proper divisors (18649511329).

101140302431 is a wasteful number, since it uses less digits than its factorization.

101140302431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101140302431 its reverse (134203041101), we get a palindrome (235343343532).

The spelling of 101140302431 in words is "one hundred one billion, one hundred forty million, three hundred two thousand, four hundred thirty-one".

Divisors: 1 7 31 217 607 761 1009 4249 5327 7063 18817 23591 31279 131719 165137 218953 461927 612463 767849 3233489 4287241 5374943 14319737 18986353 23803319 100238159 132904471 166623233 466084343 3262590401 14448614633 101140302431