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131033010444 = 223741142326737
BaseRepresentation
bin111101000001000101…
…1010001000100001100
3110112012220201121112220
41322002023101010030
54121323422313234
6140110140055340
712316056132420
oct1720213210414
9415186647486
10131033010444
115063079a176
122148a834550
13c482bcc00b
1464b076ab80
15361d8b5a49
hex1e822d110c

131033010444 has 96 divisors (see below), whose sum is σ = 358208772096. Its totient is φ = 36497848320.

The previous prime is 131033010421. The next prime is 131033010469. The reversal of 131033010444 is 444010330131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4887444 + ... + 4914180.

It is an arithmetic number, because the mean of its divisors is an integer number (3731341376).

Almost surely, 2131033010444 is an apocalyptic number.

131033010444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131033010444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179104386048).

131033010444 is an abundant number, since it is smaller than the sum of its proper divisors (227175761652).

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

131033010444 is a wasteful number, since it uses less digits than its factorization.

131033010444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28215 (or 28213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131033010444 its reverse (444010330131), we get a palindrome (575043340575).

The spelling of 131033010444 in words is "one hundred thirty-one billion, thirty-three million, ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1423 1722 2846 3444 4269 5692 8538 9961 17076 19922 26737 29883 39844 53474 58343 59766 80211 106948 116686 119532 160422 175029 187159 233372 320844 350058 374318 408401 561477 700116 748636 816802 1096217 1122954 1225203 1633604 2192434 2245908 2450406 3288651 4384868 4900812 6577302 7673519 13154604 15347038 23020557 30694076 38046751 46041114 76093502 92082228 114140253 152187004 228280506 266327257 456561012 532654514 798981771 1065309028 1559916791 1597963542 3119833582 3195927084 4679750373 6239667164 9359500746 10919417537 18719001492 21838835074 32758252611 43677670148 65516505222 131033010444