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101012032023 = 3767157457277
BaseRepresentation
bin101111000010011001…
…0010100101000010111
3100122201200221220012020
41132010302110220113
53123333040011043
6114223154224223
710204113051120
oct1360462245027
9318650856166
10101012032023
1139925727801
12176b0885073
1396aa3a0366
144c63621047
152962ee5e83
hex1784c94a17

101012032023 has 32 divisors (see below), whose sum is σ = 157215834624. Its totient is φ = 56497364352.

The previous prime is 101012032019. The next prime is 101012032031. The reversal of 101012032023 is 320230210101.

It is not a de Polignac number, because 101012032023 - 22 = 101012032019 is a prime.

It is a super-2 number, since 2×1010120320232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012031993 and 101012032011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012032013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7740 + ... + 449537.

It is an arithmetic number, because the mean of its divisors is an integer number (4912994832).

Almost surely, 2101012032023 is an apocalyptic number.

101012032023 is a deficient number, since it is larger than the sum of its proper divisors (56203802601).

101012032023 is a wasteful number, since it uses less digits than its factorization.

101012032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457511.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101012032023 its reverse (320230210101), we get a palindrome (421242242124).

The spelling of 101012032023 in words is "one hundred one billion, twelve million, thirty-two thousand, twenty-three".

Divisors: 1 3 7 21 67 157 201 469 471 1099 1407 3297 10519 31557 73633 220899 457277 1371831 3200939 9602817 30637559 71792489 91912677 214462913 215377467 502547423 643388739 1507642269 4810096763 14430290289 33670677341 101012032023