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1125101022320 = 2451119574311717
BaseRepresentation
bin10000010111110101001…
…111110010110001110000
310222120002020001211010002
4100113311033302301300
5121413201330203240
62220510403325132
7144200023616432
oct20276517626160
93876066054102
101125101022320
113a4175217640
121620760807a8
13821342226c2
143c65302a652
151e3ee47ad15
hex105f53f2c70

1125101022320 has 160 divisors (see below), whose sum is σ = 3004637690880. Its totient is φ = 387494046720.

The previous prime is 1125101022293. The next prime is 1125101022323. The reversal of 1125101022320 is 232201015211.

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 = 1125101022292 and 1125101022301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125101022323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96017102 + ... + 96028818.

It is an arithmetic number, because the mean of its divisors is an integer number (18778985568).

Almost surely, 21125101022320 is an apocalyptic number.

1125101022320 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 1125101022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502318845440).

1125101022320 is an abundant number, since it is smaller than the sum of its proper divisors (1879536668560).

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

1125101022320 is a wasteful number, since it uses less digits than its factorization.

1125101022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17503 (or 17497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1125101022320 its reverse (232201015211), we get a palindrome (1357302037531).

The spelling of 1125101022320 in words is "one trillion, one hundred twenty-five billion, one hundred one million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 5743 8360 11486 11717 16720 22972 23434 28715 45944 46868 57430 58585 63173 91888 93736 109117 114860 117170 126346 128887 187472 218234 222623 229720 234340 252692 257774 315865 436468 445246 459440 468680 505384 515548 545585 631730 644435 872936 890492 937360 1010768 1031096 1091170 1113115 1200287 1263460 1288870 1745872 1780984 2062192 2182340 2226230 2400574 2448853 2526920 2577740 3561968 4364680 4452460 4801148 4897706 5053840 5155480 6001435 8729360 8904920 9602296 9795412 10310960 12002870 12244265 17809840 19204592 19590824 24005740 24488530 39181648 48011480 48977060 67290731 96022960 97954120 134581462 195908240 269162924 336453655 538325848 672907310 740198041 1076651696 1278523889 1345814620 1480396082 2557047778 2691629240 2960792164 3700990205 5114095556 5383258480 5921584328 6392619445 7401980410 10228191112 11843168656 12785238890 14063762779 14803960820 20456382224 25570477780 28127525558 29607921640 51140955560 56255051116 59215843280 70318813895 102281911120 112510102232 140637627790 225020204464 281275255580 562550511160 1125101022320