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10023123030200 = 2352733232154491
BaseRepresentation
bin1001000111011011000010…
…1100000001000010111000
31022111012102200021220010022
42101312300230001002320
52303204323443431300
633152320435510012
72053101222015440
oct221666054010270
938435380256108
1010023123030200
113214867714935
12115a66b758308
1357923a862907
1426919c0c5120
15125acee56285
hex91db0b010b8

10023123030200 has 96 divisors (see below), whose sum is σ = 26640896837760. Its totient is φ = 3435463574400.

The previous prime is 10023123030181. The next prime is 10023123030203. The reversal of 10023123030200 is 203032132001.

It is a super-2 number, since 2×100231230302002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023123030203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3574955 + ... + 5729445.

It is an arithmetic number, because the mean of its divisors is an integer number (277509342060).

Almost surely, 210023123030200 is an apocalyptic number.

10023123030200 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 10023123030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320448418880).

10023123030200 is an abundant number, since it is smaller than the sum of its proper divisors (16617773807560).

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

10023123030200 is a wasteful number, since it uses less digits than its factorization.

10023123030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157837 (or 2157828 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10023123030200 its reverse (203032132001), we get a palindrome (10226155162201).

The spelling of 10023123030200 in words is "ten trillion, twenty-three billion, one hundred twenty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3323 6646 13292 16615 23261 26584 33230 46522 66460 83075 93044 116305 132920 166150 186088 232610 332300 465220 581525 664600 930440 1163050 2154491 2326100 4308982 4652200 8617964 10772455 15081437 17235928 21544910 30162874 43089820 53862275 60325748 75407185 86179640 107724550 120651496 150814370 215449100 301628740 377035925 430898200 603257480 754071850 1508143700 3016287400 7159373593 14318747186 28637494372 35796867965 50115615151 57274988744 71593735930 100231230302 143187471860 178984339825 200462460604 250578075755 286374943720 357968679650 400924921208 501156151510 715937359300 1002312303020 1252890378775 1431874718600 2004624606040 2505780757550 5011561515100 10023123030200