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1031202420400 = 24521927141291
BaseRepresentation
bin11110000000110000111…
…01000011011010110000
310122120201021021121120001
433000120131003122300
5113343400304423100
62105421114355344
7134334104643505
oct17003035033260
93576637247501
101031202420400
1136836a979199
12147a2b72bb54
137631b7c19a9
1437ca64514ac
151bc55c07d6a
hexf0187436b0

1031202420400 has 90 divisors (see below), whose sum is σ = 2614719794172. Its totient is φ = 390771388800.

The previous prime is 1031202420323. The next prime is 1031202420461. The reversal of 1031202420400 is 40242021301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3426246 + ... + 3715045.

Almost surely, 21031202420400 is an apocalyptic number.

1031202420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031202420400 is an abundant number, since it is smaller than the sum of its proper divisors (1583517373772).

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

1031202420400 is a wasteful number, since it uses less digits than its factorization.

1031202420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141347 (or 7141317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1031202420400 its reverse (40242021301), we get a palindrome (1071444441701).

The spelling of 1031202420400 in words is "one trillion, thirty-one billion, two hundred two million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 722 760 950 1444 1520 1805 1900 2888 3610 3800 5776 7220 7600 9025 14440 18050 28880 36100 72200 144400 7141291 14282582 28565164 35706455 57130328 71412910 114260656 135684529 142825820 178532275 271369058 285651640 357064550 542738116 571303280 678422645 714129100 1085476232 1356845290 1428258200 2170952464 2578006051 2713690580 2856516400 3392113225 5156012102 5427381160 6784226450 10312024204 10854762320 12890030255 13568452900 20624048408 25780060510 27136905800 41248096816 51560121020 54273811600 64450151275 103120242040 128900302550 206240484080 257800605100 515601210200 1031202420400