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201133022221332 = 223229420341458333
BaseRepresentation
bin101101101110110111101110…
…010101111001010000010100
3222101011010111010211110221200
4231232313232111321100110
5202330330412142040312
61551435122415512500
760236244535304025
oct5556675625712024
9871133433743850
10201133022221332
11590a6043575a53
121a684b16228730
13882c9bb5c3c96
143794c66a84c4c
15183bde8b4c0dc
hexb6edee579414

201133022221332 has 72 divisors (see below), whose sum is σ = 525953692522440. Its totient is φ = 64732171687680.

The previous prime is 201133022221331. The next prime is 201133022221343. The reversal of 201133022221332 is 233122220331102.

201133022221332 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 302 + 2 + 2 + 21 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160139812292496 + 40993209928836 = 12654636^2 + 6402594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201133022221296 and 201133022221305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201133022221331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438606838 + ... + 439065170.

It is an arithmetic number, because the mean of its divisors is an integer number (7304912396145).

Almost surely, 2201133022221332 is an apocalyptic number.

It is an amenable number.

201133022221332 is an abundant number, since it is smaller than the sum of its proper divisors (324820670301108).

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

201133022221332 is a wasteful number, since it uses less digits than its factorization.

201133022221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878713 (or 878708 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 201133022221332 its reverse (233122220331102), we get a palindrome (434255242552434).

The spelling of 201133022221332 in words is "two hundred one trillion, one hundred thirty-three billion, twenty-two million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 420341 458333 840682 916666 1261023 1374999 1681364 1833332 2522046 2749998 3783069 4124997 5044092 5499996 7566138 8249994 12189889 13291657 15132276 16499988 24379778 26583314 36569667 39874971 48759556 53166628 73139334 79749942 109709001 119624913 146278668 159499884 219418002 239249826 438836004 478499652 192656151553 385312303106 577968454659 770624606212 1155936909318 1733905363977 2311873818636 3467810727954 5587028395037 6935621455908 11174056790074 16761085185111 22348113580148 33522170370222 50283255555333 67044340740444 100566511110666 201133022221332