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1030122123200 = 26522321217063
BaseRepresentation
bin11101111110110000001…
…00000010111111000000
310122110220222111211101122
432333120010002333000
5113334142230420300
62105122004051412
7134265246401132
oct16773004027700
93573828454348
101030122123200
113679660a0995
12147789993b68
13761a8a4c091
1437c02ba1052
151bbe0e64c85
hexefd8102fc0

1030122123200 has 126 divisors (see below), whose sum is σ = 2649744275304. Its totient is φ = 394133358080.

The previous prime is 1030122123197. The next prime is 1030122123203. The reversal of 1030122123200 is 23212210301.

It is an interprime number because it is at equal distance from previous prime (1030122123197) and next prime (1030122123203).

It is a super-2 number, since 2×10301221232002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030122123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 237869 + ... + 1454931.

Almost surely, 21030122123200 is an apocalyptic number.

1030122123200 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 1030122123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324872137652).

1030122123200 is an abundant number, since it is smaller than the sum of its proper divisors (1619622152104).

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

1030122123200 is a wasteful number, since it uses less digits than its factorization.

1030122123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217131 (or 1217093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1030122123200 its reverse (23212210301), we get a palindrome (1053334333501).

The spelling of 1030122123200 in words is "one trillion, thirty billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 160 184 200 230 320 368 400 460 529 575 736 800 920 1058 1150 1472 1600 1840 2116 2300 2645 3680 4232 4600 5290 7360 8464 9200 10580 13225 16928 18400 21160 26450 33856 36800 42320 52900 84640 105800 169280 211600 423200 846400 1217063 2434126 4868252 6085315 9736504 12170630 19473008 24341260 27992449 30426575 38946016 48682520 55984898 60853150 77892032 97365040 111969796 121706300 139962245 194730080 223939592 243412600 279924490 389460160 447879184 486825200 559848980 643826327 699811225 895758368 973650400 1119697960 1287652654 1399622450 1791516736 1947300800 2239395920 2575305308 2799244900 3219131635 4478791840 5150610616 5598489800 6438263270 8957583680 10301221232 11196979600 12876526540 16095658175 20602442464 22393959200 25753053080 32191316350 41204884928 44787918400 51506106160 64382632700 103012212320 128765265400 206024424640 257530530800 515061061600 1030122123200