Search a number
-
+
1122033030320 = 245171516917907
BaseRepresentation
bin10000010100111110011…
…000010101010010110000
310222021011102002200021202
4100110332120111102300
5121340410423432240
62215242125510332
7144031011252356
oct20247630252260
93867142080252
101122033030320
113a2940437864
1216155a7123a8
1381a65723617
143c4417a57d6
151e2bee56315
hex1053e6154b0

1122033030320 has 160 divisors (see below), whose sum is σ = 2784849901056. Its totient is φ = 418954752000.

The previous prime is 1122033030319. The next prime is 1122033030347. The reversal of 1122033030320 is 230303302211.

It is a super-2 number, since 2×11220330303202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1122033030292 and 1122033030301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141899807 + ... + 141907713.

Almost surely, 21122033030320 is an apocalyptic number.

1122033030320 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 1122033030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392424950528).

1122033030320 is an abundant number, since it is smaller than the sum of its proper divisors (1662816870736).

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

1122033030320 is a wasteful number, since it uses less digits than its factorization.

1122033030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1122033030320 its reverse (230303302211), we get a palindrome (1352336332531).

The spelling of 1122033030320 in words is "one trillion, one hundred twenty-two billion, thirty-three million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 151 170 272 302 340 604 680 691 755 1208 1360 1382 1510 2416 2567 2764 3020 3455 5134 5528 6040 6910 7907 10268 11056 11747 12080 12835 13820 15814 20536 23494 25670 27640 31628 39535 41072 46988 51340 55280 58735 63256 79070 93976 102680 104341 117470 126512 134419 158140 187952 205360 208682 234940 268838 316280 417364 469880 521705 537676 632560 672095 834728 939760 1043410 1075352 1193957 1344190 1669456 1773797 2086820 2150704 2387914 2688380 3547594 4173640 4775828 5376760 5463737 5969785 7095188 8347280 8868985 9551656 10753520 10927474 11939570 14190376 17737970 19103312 20297269 21854948 23879140 27318685 28380752 35475940 40594538 43709896 47758280 54637370 70951880 81189076 87419792 92883529 95516560 101486345 109274740 141903760 162378152 185767058 202972690 218549480 324756304 371534116 405945380 437098960 464417645 743068232 811890760 825024287 928835290 1486136464 1623781520 1650048574 1857670580 3300097148 3715341160 4125121435 6600194296 7430682320 8250242870 13200388592 14025412879 16500485740 28050825758 33000971480 56101651516 66001942960 70127064395 112203303032 140254128790 224406606064 280508257580 561016515160 1122033030320