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101066212062 = 232131358111969
BaseRepresentation
bin101111000100000000…
…1000000001011011110
3100122212110220112020100
41132020001000023132
53123440422241222
6114232411401530
710205341425324
oct1361001001336
9318773815210
10101066212062
1139953272aa2
1217706a532a6
1396b869025a
144c6a8c5d14
152967b494ac
hex17880402de

101066212062 has 48 divisors (see below), whose sum is σ = 220728427920. Its totient is φ = 33419443200.

The previous prime is 101066212019. The next prime is 101066212063. The reversal of 101066212062 is 260212660101.

101066212062 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 621 + 20 + 6 + 2 = 666.

101066212062 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010662120622 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101066212063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8438014 + ... + 8449982.

It is an arithmetic number, because the mean of its divisors is an integer number (4598508915).

Almost surely, 2101066212062 is an apocalyptic number.

101066212062 is an abundant number, since it is smaller than the sum of its proper divisors (119662215858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101066212062 is a wasteful number, since it uses less digits than its factorization.

101066212062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15689 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101066212062 its reverse (260212660101), we get a palindrome (361278872163).

The spelling of 101066212062 in words is "one hundred one billion, sixty-six million, two hundred twelve thousand, sixty-two".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 3581 7162 10743 11969 21486 23938 32229 35907 64458 71814 107721 215442 469111 938222 1407333 1567939 2814666 3135878 4221999 4703817 8443998 9407634 14111451 28222902 42860989 85721978 128582967 257165934 385748901 771497802 5614789559 11229579118 16844368677 33688737354 50533106031 101066212062