Search a number
-
+
1101130131120 = 243513135023223
BaseRepresentation
bin10000000001100000011…
…110000110011010110000
310220021012122121101011220
4100001200132012122300
5121020103303143440
62201504024105040
7142361013453315
oct20014036063260
93807178541156
101101130131120
11394a94286258
121594a6305180
137cab3c78806
143b41b60ad0c
151d999cd98d0
hex100607866b0

1101130131120 has 80 divisors (see below), whose sum is σ = 3439560782592. Its totient is φ = 291393207040.

The previous prime is 1101130131097. The next prime is 1101130131137. The reversal of 1101130131120 is 211310311011.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1101130131120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17480172 + ... + 17543051.

Almost surely, 21101130131120 is an apocalyptic number.

1101130131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101130131120 is an abundant number, since it is smaller than the sum of its proper divisors (2338430651472).

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

1101130131120 is a wasteful number, since it uses less digits than its factorization.

1101130131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35023370 (or 35023364 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1101130131120 its reverse (211310311011), we get a palindrome (1312440442131).

The spelling of 1101130131120 in words is "one trillion, one hundred one billion, one hundred thirty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 35023223 70046446 105069669 140092892 175116115 210139338 280185784 350232230 420278676 525348345 560371568 700464460 840557352 1050696690 1400928920 1681114704 2101393380 2801857840 4202786760 4588042213 8405573520 9176084426 13764126639 18352168852 22940211065 27528253278 36704337704 45880422130 55056506556 68820633195 73408675408 91760844260 110113013112 137641266390 183521688520 220226026224 275282532780 367043377040 550565065560 1101130131120