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103020202022300 = 225231223443336397
BaseRepresentation
bin10111011011001001000010…
…100010111101010110011100
3111111202122011000020212110222
4113123021002202331112130
5102000340333204203200
61003034454421420512
730461651433562463
oct2733110242752634
9444678130225428
10103020202022300
112a909693346252
12b67a00926a738
1345639c01653a4
141b622c0b7b9da
15bd9bd2887d85
hex5db2428bd59c

103020202022300 has 144 divisors (see below), whose sum is σ = 232324015644672. Its totient is φ = 39610225324800.

The previous prime is 103020202022201. The next prime is 103020202022359. The reversal of 103020202022300 is 3220202020301.

It is a super-2 number, since 2×1030202020223002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306077702 + ... + 306414098.

Almost surely, 2103020202022300 is an apocalyptic number.

103020202022300 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 103020202022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116162007822336).

103020202022300 is an abundant number, since it is smaller than the sum of its proper divisors (129303813622372).

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

103020202022300 is a wasteful number, since it uses less digits than its factorization.

103020202022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337108 (or 337101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 103020202022300 its reverse (3220202020301), we get a palindrome (106240404042601).

The spelling of 103020202022300 in words is "one hundred three trillion, twenty billion, two hundred two million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 223 310 443 446 620 775 886 892 1115 1550 1772 2215 2230 3100 4430 4460 5575 6913 8860 11075 11150 13733 13826 22150 22300 27466 27652 34565 44300 54932 68665 69130 98789 137330 138260 172825 197578 274660 336397 343325 345650 395156 493945 672794 686650 691300 987890 1345588 1373300 1681985 1975780 2469725 3062459 3363970 4939450 6124918 6727940 8409925 9878900 10428307 12249836 15312295 16819850 20856614 30624590 33639700 41713228 52141535 61249180 75016531 76561475 104283070 149023871 150033062 153122950 208566140 260707675 298047742 300066124 306245900 375082655 521415350 596095484 745119355 750165310 1042830700 1490238710 1500330620 1875413275 2325512461 2980477420 3725596775 3750826550 4619740001 4651024922 7451193550 7501653100 9239480002 9302049844 11627562305 14902387100 18478960004 23098700005 23255124610 33232323233 46197400010 46510249220 58137811525 66464646466 92394800020 115493500025 116275623050 132929292932 166161616165 230987000050 232551246100 332323232330 461974000100 664646464660 830808080825 1030202020223 1661616161650 2060404040446 3323232323300 4120808080892 5151010101115 10302020202230 20604040404460 25755050505575 51510101011150 103020202022300