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10401331121200 = 2452133321195043
BaseRepresentation
bin1001011101011011111110…
…1001011000110000110000
31100211100122122112120211101
42113112333221120300300
52330403411231334300
634042145555454144
72122320452524165
oct227267751306060
940740578476741
1010401331121200
1133501a828a488
1211bba208b7354
135a5ac24a9c36
1427d5d9dd406c
15130868627b6a
hex975bfa58c30

10401331121200 has 60 divisors (see below), whose sum is σ = 24989513577448. Its totient is φ = 4160479910400.

The previous prime is 10401331121131. The next prime is 10401331121219. The reversal of 10401331121200 is 212113310401.

It is a super-3 number, since 3×104013311212003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53230879 + ... + 53425921.

Almost surely, 210401331121200 is an apocalyptic number.

10401331121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401331121200 is an abundant number, since it is smaller than the sum of its proper divisors (14588182456248).

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

10401331121200 is a wasteful number, since it uses less digits than its factorization.

10401331121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328382 (or 328371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10401331121200 its reverse (212113310401), we get a palindrome (10613444431601).

The spelling of 10401331121200 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 133321 195043 266642 390086 533284 666605 780172 975215 1066568 1333210 1560344 1950430 2133136 2666420 3120688 3333025 3900860 4876075 5332840 6666050 7801720 9752150 10665680 13332100 15603440 19504300 26664200 39008600 53328400 78017200 26003327803 52006655606 104013311212 130016639015 208026622424 260033278030 416053244848 520066556060 650083195075 1040133112120 1300166390150 2080266224240 2600332780300 5200665560600 10401331121200