Search a number
-
+
1112201211120 = 243541331121261
BaseRepresentation
bin10000001011110100010…
…110111010110011110000
310221022210012210111211220
4100023310112322303300
5121210242002223440
62210534351505040
7143232245211426
oct20136426726360
93838705714756
101112201211120
1139975565254a
1215b675b28180
1380b5982c41c
143bb8bb01116
151dde6c198d0
hex102f45bacf0

1112201211120 has 80 divisors (see below), whose sum is σ = 3448661048352. Its totient is φ = 296514964480.

The previous prime is 1112201211103. The next prime is 1112201211137. The reversal of 1112201211120 is 211121022111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1112201211103) and next prime (1112201211137).

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 1112201211120.

It is a congruent number.

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, 431290 + ... + 1552550.

Almost surely, 21112201211120 is an apocalyptic number.

1112201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112201211120 is an abundant number, since it is smaller than the sum of its proper divisors (2336459837232).

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

1112201211120 is a wasteful number, since it uses less digits than its factorization.

1112201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125410 (or 1125404 counting only the distinct ones).

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

Adding to 1112201211120 its reverse (211121022111), we get a palindrome (1323322233231).

The spelling of 1112201211120 in words is "one trillion, one hundred twelve billion, two hundred one 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 4133 8266 12399 16532 20665 24798 33064 41330 49596 61995 66128 82660 99192 123990 165320 198384 247980 330640 495960 991920 1121261 2242522 3363783 4485044 5606305 6727566 8970088 11212610 13455132 16818915 17940176 22425220 26910264 33637830 44850440 53820528 67275660 89700880 134551320 269102640 4634171713 9268343426 13902515139 18536686852 23170858565 27805030278 37073373704 46341717130 55610060556 69512575695 74146747408 92683434260 111220121112 139025151390 185366868520 222440242224 278050302780 370733737040 556100605560 1112201211120