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101012213301 = 31929531152989
BaseRepresentation
bin101111000010011001…
…1000000111000110101
3100122201201022002212020
41132010303000320311
53123333111311201
6114223202143353
710204114434456
oct1360463007065
9318651262766
10101012213301
1139925840a1a
12176b0951b59
1396aa434a1c
144c6366b12d
15296302ea36
hex1784cc0e35

101012213301 has 32 divisors (see below), whose sum is σ = 149427504000. Its totient is φ = 60435019008.

The previous prime is 101012213297. The next prime is 101012213311. The reversal of 101012213301 is 103312210101.

It is a happy number.

It is not a de Polignac number, because 101012213301 - 22 = 101012213297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012213311) 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, 488886 + ... + 664103.

It is an arithmetic number, because the mean of its divisors is an integer number (4669609500).

Almost surely, 2101012213301 is an apocalyptic number.

It is an amenable number.

101012213301 is a deficient number, since it is larger than the sum of its proper divisors (48415290699).

101012213301 is a wasteful number, since it uses less digits than its factorization.

101012213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153093.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101012213301 its reverse (103312210101), we get a palindrome (204324423402).

The spelling of 101012213301 in words is "one hundred one billion, twelve million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 19 29 53 57 87 159 551 1007 1537 1653 3021 4611 29203 87609 1152989 3458967 21906791 33436681 61108417 65720373 100310043 183325251 635296939 1161059923 1772144093 1905890817 3483179769 5316432279 33670737767 101012213301