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10001201413203 = 327111336568843
BaseRepresentation
bin1001000110001001011000…
…0011101011110001010011
31022102002211220220100220200
42101202112003223301103
52302324430030210303
633134253303310243
72051364044236560
oct221422603536123
938362756810820
1010001201413203
1132065385155a0
12115637214b383
13577156026000
142680bc909867
1512524a65c3a3
hex918960ebc53

10001201413203 has 96 divisors (see below), whose sum is σ = 19511043202560. Its totient is φ = 4795780167360.

The previous prime is 10001201413187. The next prime is 10001201413213. The reversal of 10001201413203 is 30231410210001.

10001201413203 is a `hidden beast` number, since 100 + 0 + 1 + 201 + 41 + 320 + 3 = 666.

It is not a de Polignac number, because 10001201413203 - 24 = 10001201413187 is a prime.

It is a super-3 number, since 3×100012014132033 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001201413213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1761901 + ... + 4806942.

It is an arithmetic number, because the mean of its divisors is an integer number (203240033360).

Almost surely, 210001201413203 is an apocalyptic number.

10001201413203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10001201413203 is a deficient number, since it is larger than the sum of its proper divisors (9509841789357).

10001201413203 is a wasteful number, since it uses less digits than its factorization.

10001201413203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6568906 (or 6568877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10001201413203 its reverse (30231410210001), we get a palindrome (40232611623204).

The spelling of 10001201413203 in words is "ten trillion, one billion, two hundred one million, four hundred thirteen thousand, two hundred three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 169 231 273 429 507 693 819 1001 1183 1287 1521 1859 2197 3003 3549 5577 6591 9009 10647 13013 15379 16731 19773 24167 39039 46137 72501 117117 138411 169169 217503 507507 1522521 6568843 19706529 45981901 59119587 72257273 85394959 137945703 216771819 256184877 413837109 505800911 597764713 650315457 768554631 939344549 1110134467 1517402733 1793294139 2818033647 3330403401 4552208199 5379882417 6575411843 7770941269 8454100941 9991210203 12211479137 14431748071 19726235529 23312823807 36634437411 43295244213 59178706587 69938471421 85480353959 101022236497 109903312233 129885732639 158749228781 256441061877 303066709491 476247686343 769323185631 909200128473 1111244601467 1428743059029 3333733804401 10001201413203