Search a number
-
+
11212011120 = 2435169727529
BaseRepresentation
bin10100111000100100…
…11011011001110000
31001221101101011211010
422130102123121300
5140430233323440
65052320150520
7544562344032
oct123422333160
931841334733
1011212011120
1148339849a2
12220aa68440
131098b28a0b
147850dbc52
154594bc580
hex29c49b670

11212011120 has 80 divisors (see below), whose sum is σ = 34778979360. Its totient is φ = 2987999232.

The previous prime is 11212011119. The next prime is 11212011127. The reversal of 11212011120 is 2111021211.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11212011096 and 11212011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212011127) 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, 393516 + ... + 421044.

It is an arithmetic number, because the mean of its divisors is an integer number (434737242).

Almost surely, 211212011120 is an apocalyptic number.

11212011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212011120 is an abundant number, since it is smaller than the sum of its proper divisors (23566968240).

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

11212011120 is a wasteful number, since it uses less digits than its factorization.

11212011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29242 (or 29236 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212011120 its reverse (2111021211), we get a palindrome (13323032331).

The spelling of 11212011120 in words is "eleven billion, two hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1697 3394 5091 6788 8485 10182 13576 16970 20364 25455 27152 27529 33940 40728 50910 55058 67880 81456 82587 101820 110116 135760 137645 165174 203640 220232 275290 330348 407280 412935 440464 550580 660696 825870 1101160 1321392 1651740 2202320 3303480 6606960 46716713 93433426 140150139 186866852 233583565 280300278 373733704 467167130 560600556 700750695 747467408 934334260 1121201112 1401501390 1868668520 2242402224 2803002780 3737337040 5606005560 11212011120