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1123020022300 = 2252116175722109
BaseRepresentation
bin10000010101111001001…
…101011010001000011100
310222100201012022001202021
4100111321031122020130
5121344421111203200
62215524104305524
7144064324455121
oct20257115321034
93870635261667
101123020022300
113a32a7586510
121617951722a4
1381b92057a47
143c4d68c8748
151e32b91841a
hex1057935a21c

1123020022300 has 144 divisors (see below), whose sum is σ = 2705768382240. Its totient is φ = 401127552000.

The previous prime is 1123020022277. The next prime is 1123020022301. The reversal of 1123020022300 is 32200203211.

It is a super-2 number, since 2×11230200223002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123020022301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50783646 + ... + 50805754.

It is an arithmetic number, because the mean of its divisors is an integer number (18790058210).

Almost surely, 21123020022300 is an apocalyptic number.

1123020022300 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 1123020022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352884191120).

1123020022300 is an abundant number, since it is smaller than the sum of its proper divisors (1582748359940).

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

1123020022300 is a wasteful number, since it uses less digits than its factorization.

1123020022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22952 (or 22945 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1123020022300 its reverse (32200203211), we get a palindrome (1155220225511).

The spelling of 1123020022300 in words is "one trillion, one hundred twenty-three billion, twenty million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 757 1100 1220 1342 1514 1525 2684 3028 3050 3355 3785 6100 6710 7570 8327 13420 15140 16654 16775 18925 22109 33308 33550 37850 41635 44218 46177 67100 75700 83270 88436 92354 110545 166540 184708 208175 221090 230885 243199 416350 442180 461770 486398 507947 552725 832700 923540 972796 1015894 1105450 1154425 1215995 1348649 2031788 2210900 2308850 2431990 2539735 2697298 4617700 4863980 5079470 5394596 6079975 6743245 10158940 12159950 12698675 13486490 14835139 16736513 24319900 25397350 26972980 29670278 33473026 33716225 50794700 59340556 66946052 67432450 74175695 83682565 134864900 148351390 167365130 184101643 296702780 334730260 368203286 370878475 418412825 736406572 741756950 836825650 920508215 1020927293 1483513900 1673651300 1841016430 2041854586 3682032860 4083709172 4602541075 5104636465 9205082150 10209272930 11230200223 18410164300 20418545860 22460400446 25523182325 44920800892 51046364650 56151001115 102092729300 112302002230 224604004460 280755005575 561510011150 1123020022300