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221202212001132 = 223177123896392707
BaseRepresentation
bin110010010010111010100111…
…010001010001010101101100
31002000012201120111001222022110
4302102322213101101111230
5212443134112233014012
62102242520543044020
764410222010624365
oct6222724721212554
91060181514058273
10221202212001132
1164533370a4368a
12209865792a0610
13965738220160b
143c8a35c08cb6c
151a88e9cded73c
hexc92ea745156c

221202212001132 has 96 divisors (see below), whose sum is σ = 554428825090560. Its totient is φ = 68390703037440.

The previous prime is 221202212001101. The next prime is 221202212001161. The reversal of 221202212001132 is 231100212202122.

It is a junction number, because it is equal to n+sod(n) for n = 221202212001099 and 221202212001108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31405923 + ... + 37798629.

It is an arithmetic number, because the mean of its divisors is an integer number (5775300261360).

Almost surely, 2221202212001132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221202212001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277214412545280).

221202212001132 is an abundant number, since it is smaller than the sum of its proper divisors (333226613089428).

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

221202212001132 is a wasteful number, since it uses less digits than its factorization.

221202212001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395191 (or 6395189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 221202212001132 its reverse (231100212202122), we get a palindrome (452302424203254).

The spelling of 221202212001132 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred twelve million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2389 2414 3621 4778 4828 7167 7242 9556 14334 14484 28668 40613 81226 121839 162452 169619 243678 339238 487356 508857 678476 1017714 2035428 2883523 5767046 6392707 8650569 11534092 12785414 17301138 19178121 25570828 34602276 38356242 76712484 108676019 217352038 326028057 434704076 453882197 652056114 907764394 1304112228 1361646591 1815528788 2723293182 5446586364 7715997349 15272177023 15431994698 23147992047 30544354046 30863989396 45816531069 46295984094 61088708092 91633062138 92591968188 183266124276 259627009391 519254018782 778881028173 1038508037564 1084324568633 1557762056346 2168649137266 3115524112692 3252973705899 4337298274532 6505947411798 13011894823596 18433517666761 36867035333522 55300553000283 73734070667044 110601106000566 221202212001132