Search a number
-
+
10111202202000 = 2435310709157363
BaseRepresentation
bin1001001100100011001010…
…0111011001000110010000
31022210121210001210102022110
42103020302213121012100
52311130220230431000
633301004442105320
72062340005433664
oct223106247310620
938717701712273
1010111202202000
1132491560542a9
1211737511ab240
1358463673ac53
1426d555c568a4
1512803785d850
hex932329d9190

10111202202000 has 160 divisors (see below), whose sum is σ = 32601767103360. Its totient is φ = 2696051673600.

The previous prime is 10111202201999. The next prime is 10111202202001. The reversal of 10111202202000 is 20220211101.

It is an interprime number because it is at equal distance from previous prime (10111202201999) and next prime (10111202202001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10111202202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64175319 + ... + 64332681.

It is an arithmetic number, because the mean of its divisors is an integer number (203761044396).

Almost surely, 210111202202000 is an apocalyptic number.

10111202202000 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 10111202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300883551680).

10111202202000 is an abundant number, since it is smaller than the sum of its proper divisors (22490564901360).

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

10111202202000 is a wasteful number, since it uses less digits than its factorization.

10111202202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168098 (or 168082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10111202202000 its reverse (20220211101), we get a palindrome (10131422413101).

The spelling of 10111202202000 in words is "ten trillion, one hundred eleven billion, two hundred two million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 10709 21418 32127 42836 53545 64254 85672 107090 128508 157363 160635 171344 214180 257016 267725 314726 321270 428360 472089 514032 535450 629452 642540 786815 803175 856720 944178 1070900 1258904 1285080 1338625 1573630 1606350 1888356 2141800 2360445 2517808 2570160 2677250 3147260 3212700 3776712 3934075 4015875 4283600 4720890 5354500 6294520 6425400 7553424 7868150 8031750 9441780 10709000 11802225 12589040 12850800 15736300 16063500 18883560 19670375 21418000 23604450 31472600 32127000 37767120 39340750 47208900 59011125 62945200 64254000 78681500 94417800 118022250 157363000 188835600 236044500 314726000 472089000 944178000 1685200367 3370400734 5055601101 6740801468 8426001835 10111202202 13481602936 16852003670 20222404404 25278005505 26963205872 33704007340 40444808808 42130009175 50556011010 67408014680 80889617616 84260018350 101112022020 126390027525 134816029360 168520036700 202224044040 210650045875 252780055050 337040073400 404448088080 421300091750 505560110100 631950137625 674080146800 842600183500 1011120220200 1263900275250 1685200367000 2022240440400 2527800550500 3370400734000 5055601101000 10111202202000