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10003111230200 = 23521115532927797
BaseRepresentation
bin1001000110010000011111…
…1001000011101011111000
31022102021210000120010022112
42101210013321003223320
52302342332433331300
633135211005311452
72051462264354264
oct221440771035370
938367700503275
1010003111230200
113207328566350
121156805865588
1357739b8b603a
1426822040b0a4
1512530d158e35
hex91907e43af8

10003111230200 has 96 divisors (see below), whose sum is σ = 25387873353360. Its totient is φ = 3635151513600.

The previous prime is 10003111230191. The next prime is 10003111230209. The reversal of 10003111230200 is 203211130001.

It is an interprime number because it is at equal distance from previous prime (10003111230191) and next prime (10003111230209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003111230209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1952702 + ... + 4880498.

Almost surely, 210003111230200 is an apocalyptic number.

10003111230200 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 10003111230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693936676680).

10003111230200 is an abundant number, since it is smaller than the sum of its proper divisors (15384762123160).

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

10003111230200 is a wasteful number, since it uses less digits than its factorization.

10003111230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929377 (or 2929368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10003111230200 its reverse (203211130001), we get a palindrome (10206322360201).

The spelling of 10003111230200 in words is "ten trillion, three billion, one hundred eleven million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1553 2200 3106 6212 7765 12424 15530 17083 31060 34166 38825 62120 68332 77650 85415 136664 155300 170830 310600 341660 427075 683320 854150 1708300 2927797 3416600 5855594 11711188 14638985 23422376 29277970 32205767 58555940 64411534 73194925 117111880 128823068 146389850 161028835 257646136 292779700 322057670 585559400 644115340 805144175 1288230680 1610288350 3220576700 4546868741 6441153400 9093737482 18187474964 22734343705 36374949928 45468687410 50015556151 90937374820 100031112302 113671718525 181874749640 200062224604 227343437050 250077780755 400124449208 454686874100 500155561510 909373748200 1000311123020 1250388903775 2000622246040 2500777807550 5001555615100 10003111230200