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221121021084 = 223293134759069
BaseRepresentation
bin1100110111101111010…
…1110000010010011100
3210010202022012201120120
43031323311300102130
512110323440133314
6245325342514540
721655404444645
oct3157365602234
9703668181516
10221121021084
1185860062a27
1236a30b95a50
1317b0c0278a2
14a9b92186cc
155b428298a9
hex337bd7049c

221121021084 has 96 divisors (see below), whose sum is σ = 552554956800. Its totient is φ = 68670094080.

The previous prime is 221121021083. The next prime is 221121021131. The reversal of 221121021084 is 480120121122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121021083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3713902 + ... + 3772970.

It is an arithmetic number, because the mean of its divisors is an integer number (5755780800).

Almost surely, 2221121021084 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 221121021084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276277478400).

221121021084 is an abundant number, since it is smaller than the sum of its proper divisors (331433935716).

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

221121021084 is a wasteful number, since it uses less digits than its factorization.

221121021084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59483 (or 59481 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 221121021084 in words is "two hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 347 348 372 694 899 1041 1388 1798 2082 2697 3596 4164 5394 10063 10757 10788 20126 21514 30189 32271 40252 43028 59069 60378 64542 118138 120756 129084 177207 236276 311953 354414 623906 708828 935859 1247812 1713001 1831139 1871718 3426002 3662278 3743436 5139003 5493417 6852004 7324556 10278006 10986834 20496943 20556012 21973668 40993886 53103031 61490829 81987772 106206062 122981658 159309093 212412124 245963316 318618186 594411347 635405233 637236372 1188822694 1270810466 1783234041 1906215699 2377645388 2541620932 3566468082 3812431398 7132936164 7624862796 18426751757 36853503514 55280255271 73707007028 110560510542 221121021084