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101023131033 = 32115879173573
BaseRepresentation
bin101111000010101110…
…0101010010110011001
3100122202110211210011200
41132011130222112121
53123343410143113
6114224232144413
710204306305546
oct1360534522631
9318673753150
10101023131033
1139930a18640
12176b4538109
1396ac788216
144c64cadbcd
152963e89873
hex178572a599

101023131033 has 24 divisors (see below), whose sum is σ = 159215958720. Its totient is φ = 61215372960.

The previous prime is 101023131019. The next prime is 101023131103. The reversal of 101023131033 is 330131320101.

It is a happy number.

It is not a de Polignac number, because 101023131033 - 210 = 101023130009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101023130997 and 101023131015.

It is not an unprimeable number, because it can be changed into a prime (101023136033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495235 + ... + 668807.

It is an arithmetic number, because the mean of its divisors is an integer number (6633998280).

Almost surely, 2101023131033 is an apocalyptic number.

It is an amenable number.

101023131033 is a deficient number, since it is larger than the sum of its proper divisors (58192827687).

101023131033 is a wasteful number, since it uses less digits than its factorization.

101023131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179469 (or 179466 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101023131033 its reverse (330131320101), we get a palindrome (431154451134).

The spelling of 101023131033 in words is "one hundred one billion, twenty-three million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 11 33 99 5879 17637 52911 64669 173573 194007 520719 582021 1562157 1909303 5727909 17183727 1020435667 3061307001 9183921003 11224792337 33674377011 101023131033