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100021012311 = 3113789920419
BaseRepresentation
bin101110100100110110…
…1111000011101010111
3100120011122011212201110
41131021231320131113
53114320334343221
6113540553230103
710140420401613
oct1351155703527
9316148155643
10100021012311
1139467287a50
1217474a02333
13957cc8886c
144babb70343
152905eda776
hex1749b78757

100021012311 has 32 divisors (see below), whose sum is σ = 151096147200. Its totient is φ = 58317684480.

The previous prime is 100021012297. The next prime is 100021012313. The reversal of 100021012311 is 113210120001.

It is not a de Polignac number, because 100021012311 - 27 = 100021012183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021012313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351541 + ... + 568878.

It is an arithmetic number, because the mean of its divisors is an integer number (4721754600).

Almost surely, 2100021012311 is an apocalyptic number.

100021012311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100021012311 is a deficient number, since it is larger than the sum of its proper divisors (51075134889).

100021012311 is a wasteful number, since it uses less digits than its factorization.

100021012311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920559.

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

Adding to 100021012311 its reverse (113210120001), we get a palindrome (213231132312).

The spelling of 100021012311 in words is "one hundred billion, twenty-one million, twelve thousand, three hundred eleven".

Divisors: 1 3 11 33 37 89 111 267 407 979 1221 2937 3293 9879 36223 108669 920419 2761257 10124609 30373827 34055503 81917291 102166509 245751873 374610533 901090201 1123831599 2703270603 3030939767 9092819301 33340337437 100021012311