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134113111120 = 245103109314891
BaseRepresentation
bin111110011100111000…
…0111010110001010000
3110211011120110221100201
41330321300322301100
54144130424023440
6141335525224544
712455306430652
oct1747160726120
9424146427321
10134113111120
115197139a41a
1221baa262154
13c85407a6b1
1466c38646d2
15374decd19a
hex1f39c3ac50

134113111120 has 80 divisors (see below), whose sum is σ = 315149507712. Its totient is φ = 53072248320.

The previous prime is 134113111091. The next prime is 134113111133. The reversal of 134113111120 is 21111311431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8998875 + ... + 9013765.

Almost surely, 2134113111120 is an apocalyptic number.

134113111120 is a gapful number since it is divisible by the number (10) 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 134113111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157574753856).

134113111120 is an abundant number, since it is smaller than the sum of its proper divisors (181036396592).

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

134113111120 is a wasteful number, since it uses less digits than its factorization.

134113111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 134113111120 its reverse (21111311431), we get a palindrome (155224422551).

The spelling of 134113111120 in words is "one hundred thirty-four billion, one hundred thirteen million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1093 1648 2060 2186 4120 4372 5465 8240 8744 10930 14891 17488 21860 29782 43720 59564 74455 87440 112579 119128 148910 225158 238256 297820 450316 562895 595640 900632 1125790 1191280 1533773 1801264 2251580 3067546 4503160 6135092 7668865 9006320 12270184 15337730 16275863 24540368 30675460 32551726 61350920 65103452 81379315 122701840 130206904 162758630 260413808 325517260 651034520 1302069040 1676413889 3352827778 6705655556 8382069445 13411311112 16764138890 26822622224 33528277780 67056555560 134113111120