Search a number
-
+
1123223322320 = 2451147142719031
BaseRepresentation
bin10000010110000101010…
…100111011111011010000
310222101020100211202221122
4100112011110323323100
5121400330132303240
62220000205541412
7144102343465421
oct20260524737320
93871210752848
101123223322320
113a33a1312860
12161831274868
1381bc51c9108
143c5158c9648
151e33e6c54b5
hex1058553bed0

1123223322320 has 160 divisors (see below), whose sum is σ = 2911709638656. Its totient is φ = 399453401600.

The previous prime is 1123223322301. The next prime is 1123223322341. The reversal of 1123223322320 is 232233223211.

It is a super-2 number, since 2×11232233223202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1123223322320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59011205 + ... + 59030235.

Almost surely, 21123223322320 is an apocalyptic number.

1123223322320 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 1123223322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455854819328).

1123223322320 is an abundant number, since it is smaller than the sum of its proper divisors (1788486316336).

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

1123223322320 is a wasteful number, since it uses less digits than its factorization.

1123223322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20529 (or 20523 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1123223322320 its reverse (232233223211), we get a palindrome (1355456545531).

It can be divided in two parts, 1 and 123223322320, that added together give a palindrome (123223322321).

The spelling of 1123223322320 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1427 1880 2068 2585 2854 3760 4136 5170 5708 7135 8272 10340 11416 14270 15697 19031 20680 22832 28540 31394 38062 41360 57080 62788 67069 76124 78485 95155 114160 125576 134138 152248 156970 190310 209341 251152 268276 304496 313940 335345 380620 418682 536552 627880 670690 737759 761240 837364 894457 1046705 1073104 1255760 1341380 1475518 1522480 1674728 1788914 2093410 2682760 2951036 3349456 3577828 3688795 4186820 4472285 5365520 5902072 7155656 7377590 8373640 8944570 9839027 11804144 14311312 14755180 16747280 17889140 19678054 27157237 29510360 35778280 39356108 49195135 54314474 59020720 71556560 78712216 98390270 108628948 135786185 157424432 196780540 217257896 271572370 298729607 393561080 434515792 543144740 597459214 787122160 1086289480 1194918428 1276390139 1493648035 2172578960 2389836856 2552780278 2987296070 4779673712 5105560556 5974592140 6381950695 10211121112 11949184280 12763901390 14040291529 20422242224 23898368560 25527802780 28080583058 51055605560 56161166116 70201457645 102111211120 112322332232 140402915290 224644664464 280805830580 561611661160 1123223322320