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101012012311 = 7216377316361
BaseRepresentation
bin101111000010011001…
…0001111110100010111
3100122201200220220011011
41132010302033310113
53123333033343221
6114223153553051
710204112636500
oct1360462176427
9318650826134
10101012012311
1139925713a11
12176b0875787
1396aa3943b2
144c63617ba7
152962ee01e1
hex1784c8fd17

101012012311 has 24 divisors (see below), whose sum is σ = 118384829424. Its totient is φ = 85933975680.

The previous prime is 101012012303. The next prime is 101012012371. The reversal of 101012012311 is 113210210101.

It is a happy number.

It is not a de Polignac number, because 101012012311 - 23 = 101012012303 is a prime.

It is a super-2 number, since 2×1010120123112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012012291 and 101012012300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012012371) 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, 6165771 + ... + 6182131.

It is an arithmetic number, because the mean of its divisors is an integer number (4932701226).

Almost surely, 2101012012311 is an apocalyptic number.

101012012311 is a deficient number, since it is larger than the sum of its proper divisors (17372817113).

101012012311 is a wasteful number, since it uses less digits than its factorization.

101012012311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17311 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101012012311 its reverse (113210210101), we get a palindrome (214222222412).

The spelling of 101012012311 in words is "one hundred one billion, twelve million, twelve thousand, three hundred eleven".

Divisors: 1 7 49 163 773 1141 5411 7987 16361 37877 114527 125999 801689 881993 2666843 6173951 12647053 18667901 88529371 130675307 619705597 2061469639 14430287473 101012012311