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320100111032 = 231317797227167
BaseRepresentation
bin1001010100001110111…
…01000001001010111000
31010121020022211110111212
410222013131001022320
520221031112023112
6403015120142252
732061244023212
oct4520735011270
91117208743455
10320100111032
11113832193209
1252054a67988
1324254188730
14116c88475b2
1584d7102522
hex4a877412b8

320100111032 has 64 divisors (see below), whose sum is σ = 685238641920. Its totient is φ = 138872936448.

The previous prime is 320100111017. The next prime is 320100111119. The reversal of 320100111032 is 230111001023.

It is a junction number, because it is equal to n+sod(n) for n = 320100110998 and 320100111016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1295513 + ... + 1522679.

It is an arithmetic number, because the mean of its divisors is an integer number (10706853780).

Almost surely, 2320100111032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320100111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342619320960).

320100111032 is an abundant number, since it is smaller than the sum of its proper divisors (365138530888).

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

320100111032 is a wasteful number, since it uses less digits than its factorization.

320100111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228000 (or 227996 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 320100111032 its reverse (230111001023), we get a palindrome (550211112055).

The spelling of 320100111032 in words is "three hundred twenty billion, one hundred million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 797 884 1594 1768 3188 6376 10361 13549 20722 27098 41444 54196 82888 108392 176137 227167 352274 454334 704548 908668 1409096 1817336 2953171 3861839 5906342 7723678 11812684 15447356 23625368 30894712 50203907 100407814 181052099 200815628 362104198 401631256 724208396 1448416792 2353677287 3077885683 4707354574 6155771366 9414709148 12311542732 18829418296 24623085464 40012513879 80025027758 160050055516 320100111032