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21122001211201 = 1121388211257461
BaseRepresentation
bin1001100110101110110010…
…11000010000111101000001
32202210020120120200121022121
410303113121120100331001
510232030324302224301
6112531151410004241
74310004610661212
oct463273130207501
982706516617277
1021122001211201
116803877041700
122451703576681
13ba2a47246377
1453044b6dd409
152696721043a1
hex1335d9610f41

21122001211201 has 12 divisors (see below), whose sum is σ = 23216930838612. Its totient is φ = 19201665692000.

The previous prime is 21122001211169. The next prime is 21122001211229. The reversal of 21122001211201 is 10211210022112.

It can be written as a sum of positive squares in 2 ways, for example, as 10726542019600 + 10395459191601 = 3275140^2 + 3224199^2 .

It is not a de Polignac number, because 21122001211201 - 25 = 21122001211169 is a prime.

It is a super-2 number, since 2×211220012112012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122001211261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16168611 + ... + 17426071.

It is an arithmetic number, because the mean of its divisors is an integer number (1934744236551).

Almost surely, 221122001211201 is an apocalyptic number.

It is an amenable number.

21122001211201 is a deficient number, since it is larger than the sum of its proper divisors (2094929627411).

21122001211201 is a wasteful number, since it uses less digits than its factorization.

21122001211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396304 (or 1396293 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21122001211201 its reverse (10211210022112), we get a palindrome (31333211233313).

The spelling of 21122001211201 in words is "twenty-one trillion, one hundred twenty-two billion, one million, two hundred eleven thousand, two hundred one".

Divisors: 1 11 121 138821 1257461 1527031 13832071 16797341 152152781 174561993481 1920181928291 21122001211201