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101223032031 = 321113157113669
BaseRepresentation
bin101111001000101011…
…1001110010011011111
3100200021101222210210100
41132101113032103133
53124301044011111
6114300132512143
710212254401362
oct1362127162337
9320241883710
10101223032031
1139a23843180
121774b47b653
139712009434
144c836680d9
1529767c4756
hex17915ce4df

101223032031 has 48 divisors (see below), whose sum is σ = 161013790080. Its totient is φ = 60767928000.

The previous prime is 101223031967. The next prime is 101223032063. The reversal of 101223032031 is 130230322101.

It is not a de Polignac number, because 101223032031 - 26 = 101223031967 is a prime.

It is a super-2 number, since 2×1012230320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101223031995 and 101223032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223032431) 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, 7398465 + ... + 7412133.

It is an arithmetic number, because the mean of its divisors is an integer number (3354453960).

Almost surely, 2101223032031 is an apocalyptic number.

101223032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101223032031 is a deficient number, since it is larger than the sum of its proper divisors (59790758049).

101223032031 is a wasteful number, since it uses less digits than its factorization.

101223032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14388 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101223032031 its reverse (130230322101), we get a palindrome (231453354132).

The spelling of 101223032031 in words is "one hundred one billion, two hundred twenty-three million, thirty-two thousand, thirty-one".

Divisors: 1 3 9 11 33 99 131 393 571 1179 1441 1713 4323 5139 6281 12969 13669 18843 41007 56529 74801 123021 150359 224403 451077 673209 822811 1353231 1790639 2468433 5371917 7405299 7804999 16115751 19697029 23414997 59091087 70244991 85854989 177273261 257564967 772694901 1022454869 3067364607 9202093821 11247003559 33741010677 101223032031