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1122023202030 = 233589370912589
BaseRepresentation
bin10000010100111101110…
…010110101110011101110
310222021010201121100102000
4100110331302311303232
5121340400414431110
62215241135113130
7144030531566433
oct20247562656356
93867121540360
101122023202030
113a2935934705
121615573727a6
1381a63691c73
143c440367b8a
151e2be1641c0
hex1053dcb5cee

1122023202030 has 128 divisors (see below), whose sum is σ = 3026736720000. Its totient is φ = 295741062144.

The previous prime is 1122023202023. The next prime is 1122023202067. The reversal of 1122023202030 is 302023202211.

1122023202030 is a `hidden beast` number, since 11 + 220 + 232 + 0 + 203 + 0 = 666.

It is a super-2 number, since 2×11220232020302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122023201994 and 1122023202012.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 89120976 + ... + 89133564.

It is an arithmetic number, because the mean of its divisors is an integer number (23646380625).

Almost surely, 21122023202030 is an apocalyptic number.

1122023202030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122023202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513368360000).

1122023202030 is an abundant number, since it is smaller than the sum of its proper divisors (1904713517970).

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

1122023202030 is a wasteful number, since it uses less digits than its factorization.

1122023202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16403 (or 16397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1122023202030 its reverse (302023202211), we get a palindrome (1424046404241).

The spelling of 1122023202030 in words is "one trillion, one hundred twenty-two billion, twenty-three million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 178 267 270 445 534 801 890 1335 1602 2403 2670 3709 4005 4806 7418 8010 11127 12015 12589 18545 22254 24030 25178 33381 37090 37767 55635 62945 66762 75534 100143 111270 113301 125890 166905 188835 200286 226602 330101 333810 339903 377670 500715 566505 660202 679806 990303 1001430 1120421 1133010 1650505 1699515 1980606 2240842 2970909 3301010 3361263 3399030 4951515 5602105 5941818 6722526 8912727 9903030 10083789 11204210 14854545 16806315 17825454 20167578 29709090 30251367 33612630 44563635 46692601 50418945 60502734 89127270 93385202 100837890 140077803 151256835 233463005 280155606 302513670 420233409 466926010 700389015 840466818 1260700227 1400778030 2101167045 2521400454 4155641489 4202334090 6303501135 8311282978 12466924467 12607002270 20778207445 24933848934 37400773401 41556414890 62334622335 74801546802 112202320203 124669244670 187003867005 224404640406 374007734010 561011601015 1122023202030