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332001101401 = 17192229337701
BaseRepresentation
bin1001101010011001100…
…11101100011001011001
31011201221201122102011221
410311030303230121121
520414414240221101
6412304051452041
732662203541144
oct4651463543131
91151851572157
10332001101401
11118889a6a442
12544165b7021
13253cc965478
14120d725105b
158981d16aa1
hex4d4ccec659

332001101401 has 48 divisors (see below), whose sum is σ = 374264925840. Its totient is φ = 293439283200.

The previous prime is 332001101329. The next prime is 332001101407. The reversal of 332001101401 is 104101100233.

It can be written as a sum of positive squares in 8 ways, for example, as 73779597376 + 258221504025 = 271624^2 + 508155^2 .

It is a de Polignac number, because none of the positive numbers 2k-332001101401 is a prime.

It is a super-2 number, since 2×3320011014012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332001101407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473610351 + ... + 473611051.

It is an arithmetic number, because the mean of its divisors is an integer number (7797185955).

Almost surely, 2332001101401 is an apocalyptic number.

It is an amenable number.

332001101401 is a deficient number, since it is larger than the sum of its proper divisors (42263824439).

332001101401 is a wasteful number, since it uses less digits than its factorization.

332001101401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 332001101401 its reverse (104101100233), we get a palindrome (436102201634).

The spelling of 332001101401 in words is "three hundred thirty-two billion, one million, one hundred one thousand, four hundred one".

Divisors: 1 17 19 229 323 337 361 701 3893 4351 5729 6137 6403 11917 13319 73967 77173 82669 108851 121657 160529 226423 236237 253061 1311941 1405373 1466287 2068169 2728993 3050051 4016029 4302037 4488503 24926879 27859453 51850867 54098273 57950969 76304551 85281557 473610701 919670641 985166473 1027867187 1449786469 17473742179 19529476553 332001101401