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10103131101 = 3721011494567
BaseRepresentation
bin10010110100011000…
…11000101111011101
3222002002211020101210
421122030120233131
5131142400143401
64350305055033
7505236124500
oct113214305735
928062736353
1010103131101
114314a54a28
121b5b627479
13c501891ab
146bbb2b137
153e1e804d6
hex25a318bdd

10103131101 has 48 divisors (see below), whose sum is σ = 15935011200. Its totient is φ = 5676451200.

The previous prime is 10103131081. The next prime is 10103131111. The reversal of 10103131101 is 10113130101.

It is not a de Polignac number, because 10103131101 - 210 = 10103130077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103131111) 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, 2209920 + ... + 2214486.

It is an arithmetic number, because the mean of its divisors is an integer number (331979400).

Almost surely, 210103131101 is an apocalyptic number.

It is an amenable number.

10103131101 is a deficient number, since it is larger than the sum of its proper divisors (5831880099).

10103131101 is a wasteful number, since it uses less digits than its factorization.

10103131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10103131101 its reverse (10113130101), we get a palindrome (20216261202).

The spelling of 10103131101 in words is "ten billion, one hundred three million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 3 7 21 49 101 147 149 303 447 707 1043 2121 3129 4567 4949 7301 13701 14847 15049 21903 31969 45147 95907 105343 223783 316029 461267 671349 680483 737401 1383801 2041449 2212203 3228869 4763381 9686607 14290143 22602083 33343667 67806249 68728783 100031001 206186349 481101481 1443304443 3367710367 10103131101