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101111001006 = 23671025924517
BaseRepresentation
bin101111000101010101…
…1110110111110101110
3100122222121012001010010
41132022223312332232
53124033404013011
6114241051354050
710206424220331
oct1361253667656
9318877161103
10101111001006
1139976584654
1217719a52926
1396c4a427a2
144c72824618
15296ba451a6
hex178aaf6fae

101111001006 has 32 divisors (see below), whose sum is σ = 205268618880. Its totient is φ = 33196036896.

The previous prime is 101111001001. The next prime is 101111001037. The reversal of 101111001006 is 600100111101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101111000982 and 101111001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111860 + ... + 4136376.

It is an arithmetic number, because the mean of its divisors is an integer number (6414644340).

Almost surely, 2101111001006 is an apocalyptic number.

101111001006 is an abundant number, since it is smaller than the sum of its proper divisors (104157617874).

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

101111001006 is a wasteful number, since it uses less digits than its factorization.

101111001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34848.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101111001006 its reverse (600100111101), we get a palindrome (701211112107).

The spelling of 101111001006 in words is "one hundred one billion, one hundred eleven million, one thousand, six".

Divisors: 1 2 3 6 67 134 201 402 10259 20518 24517 30777 49034 61554 73551 147102 687353 1374706 1642639 2062059 3285278 4124118 4927917 9855834 251519903 503039806 754559709 1509119418 16851833501 33703667002 50555500503 101111001006