Search a number
-
+
1120211011120 = 24517923989153
BaseRepresentation
bin10000010011010001110…
…001111000011000110000
310222002110102122111211011
4100103101301320120300
5121323143004323440
62214341241400304
7143634605326135
oct20232161703060
93862412574734
101120211011120
113a2095a03873
12161130499094
13818350c4056
143c30b7da58c
151e214eed9ea
hex104d1c78630

1120211011120 has 80 divisors (see below), whose sum is σ = 2758025350080. Its totient is φ = 421676122112.

The previous prime is 1120211011081. The next prime is 1120211011121. The reversal of 1120211011120 is 211101120211.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1120211011120.

It is not an unprimeable number, because it can be changed into a prime (1120211011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12520464 + ... + 12609616.

It is an arithmetic number, because the mean of its divisors is an integer number (34475316876).

Almost surely, 21120211011120 is an apocalyptic number.

1120211011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120211011120 is an abundant number, since it is smaller than the sum of its proper divisors (1637814338960).

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

1120211011120 is a wasteful number, since it uses less digits than its factorization.

1120211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98422 (or 98416 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1120211011120 its reverse (211101120211), we get a palindrome (1331312131331).

The spelling of 1120211011120 in words is "one trillion, one hundred twenty billion, two hundred eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9239 18478 36956 46195 73912 89153 92390 147824 157063 178306 184780 314126 356612 369560 445765 628252 713224 739120 785315 891530 1256504 1426448 1515601 1570630 1783060 2513008 3031202 3141260 3566120 6062404 6282520 7132240 7578005 12124808 12565040 15156010 24249616 30312020 60624040 121248080 823684567 1647369134 3294738268 4118422835 6589476536 8236845670 13178953072 14002637639 16473691340 28005275278 32947382680 56010550556 65894765360 70013188195 112021101112 140026376390 224042202224 280052752780 560105505560 1120211011120