Search a number
-
+
2211110211120 = 24359391398101
BaseRepresentation
bin100000001011010000011…
…100000100111000110000
321211101021001221201221020
4200023100130010320300
5242211323203223440
64411434153255440
7315514241456106
oct40132034047060
97741231851836
102211110211120
117827aa086048
122b8640404580
13130678588365
147903832dc76
153c7b1a113d0
hex202d0704e30

2211110211120 has 80 divisors (see below), whose sum is σ = 6854584513632. Its totient is φ = 589617100800.

The previous prime is 2211110211083. The next prime is 2211110211139. The reversal of 2211110211120 is 211120111122.

It is a happy number.

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 2211110211120.

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, 22490070 + ... + 22588170.

Almost surely, 22211110211120 is an apocalyptic number.

2211110211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211110211120 is an abundant number, since it is smaller than the sum of its proper divisors (4643474302512).

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

2211110211120 is a wasteful number, since it uses less digits than its factorization.

2211110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192030 (or 192024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2211110211120 its reverse (211120111122), we get a palindrome (2422230322242).

The spelling of 2211110211120 in words is "two trillion, two hundred eleven billion, one hundred ten million, two hundred 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 93913 98101 187826 196202 281739 294303 375652 392404 469565 490505 563478 588606 751304 784808 939130 981010 1126956 1177212 1408695 1471515 1502608 1569616 1878260 1962020 2253912 2354424 2817390 2943030 3756520 3924040 4507824 4708848 5634780 5886060 7513040 7848080 11269560 11772120 22539120 23544240 9212959213 18425918426 27638877639 36851836852 46064796065 55277755278 73703673704 92129592130 110555510556 138194388195 147407347408 184259184260 221111021112 276388776390 368518368520 442222042224 552777552780 737036737040 1105555105560 2211110211120