Search a number
-
+
1122034515140 = 2257113581203461
BaseRepresentation
bin10000010100111110011…
…101111111110011000100
310222021011111220010002002
4100110332131333303010
5121340411313441030
62215242221404432
7144031030005320
oct20247635776304
93867144803062
101122034515140
113a2941261390
1216155b109718
1381a65b23406
143c441a70980
151e2c014b245
hex1053e77fcc4

1122034515140 has 96 divisors (see below), whose sum is σ = 2938525164288. Its totient is φ = 349625664000.

The previous prime is 1122034515127. The next prime is 1122034515143. The reversal of 1122034515140 is 415154302211.

It is a happy number.

It is a super-2 number, since 2×11220345151402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122034515143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5413010 + ... + 5616470.

It is an arithmetic number, because the mean of its divisors is an integer number (30609637128).

Almost surely, 21122034515140 is an apocalyptic number.

1122034515140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122034515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469262582144).

1122034515140 is an abundant number, since it is smaller than the sum of its proper divisors (1816490649148).

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

1122034515140 is a wasteful number, since it uses less digits than its factorization.

1122034515140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207069 (or 207067 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 1122034515140 its reverse (415154302211), we get a palindrome (1537188817351).

The spelling of 1122034515140 in words is "one trillion, one hundred twenty-two billion, thirty-four million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3581 7162 14324 17905 25067 35810 39391 50134 71620 78782 100268 125335 157564 196955 203461 250670 275737 393910 406922 501340 551474 787820 813844 1017305 1102948 1378685 1424227 2034610 2238071 2757370 2848454 4069220 4476142 5514740 5696908 7121135 8952284 11190355 14242270 15666497 22380710 28484540 31332994 44761420 62665988 78332485 156664970 313329940 728593841 1457187682 2914375364 3642969205 5100156887 7285938410 8014532251 10200313774 14571876820 16029064502 20400627548 25500784435 32058129004 40072661255 51001568870 56101725757 80145322510 102003137740 112203451514 160290645020 224406903028 280508628785 561017257570 1122034515140