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31232213003201 = 7192341892798011
BaseRepresentation
bin1110001100111110100001…
…11101100010101111000001
311002120202210121211222112012
413012133100331202233001
513043202033012100301
6150231514112142305
76402311232165410
oct706372075425701
9132522717758465
1031232213003201
119a51564022241
123605018b37995
1314572537241a2
1479d90bbc3477
1539264ca27ebb
hex1c67d0f62bc1

31232213003201 has 64 divisors (see below), whose sum is σ = 40613703782400. Its totient is φ = 23401212595200.

The previous prime is 31232213003083. The next prime is 31232213003269. The reversal of 31232213003201 is 10230031223213.

It is a cyclic number.

It is not a de Polignac number, because 31232213003201 - 226 = 31232145894337 is a prime.

It is a super-2 number, since 2×312322130032012 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (31232213003291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9763286 + ... + 12561296.

It is an arithmetic number, because the mean of its divisors is an integer number (634589121600).

Almost surely, 231232213003201 is an apocalyptic number.

It is an amenable number.

31232213003201 is a deficient number, since it is larger than the sum of its proper divisors (9381490779199).

31232213003201 is a wasteful number, since it uses less digits than its factorization.

31232213003201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798190.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31232213003201 its reverse (10230031223213), we get a palindrome (41462244226414).

The spelling of 31232213003201 in words is "thirty-one trillion, two hundred thirty-two billion, two hundred thirteen million, three thousand, two hundred one".

Divisors: 1 7 19 23 41 89 133 161 287 437 623 779 943 1691 2047 3059 3649 5453 6601 11837 14329 17917 25543 38893 69331 83927 125419 272251 485317 587489 1594613 2798011 11162291 19586077 53162209 64354253 114718451 249022979 372135463 450479771 803029157 1222730807 1743160853 2179650569 2638524373 4731436601 5727528517 8559115649 10209942139 15257553983 18469670611 33120056207 40092699619 50131963087 71469594973 108823041823 193988900641 234828669197 350923741609 761761292761 1357922304487 1643800684379 4461744714743 31232213003201