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101122120302 = 23719532639091
BaseRepresentation
bin101111000101101011…
…0010001101001101110
3100200000101002221220220
41132023112101221232
53124044230322202
6114242125552210
710206620561160
oct1361326215156
9320011087826
10101122120302
1139981889755
1217721715666
1396c7136958
144c740ba930
15296c9deabc
hex178b591a6e

101122120302 has 128 divisors (see below), whose sum is σ = 248861859840. Its totient is φ = 26749906560.

The previous prime is 101122120277. The next prime is 101122120313. The reversal of 101122120302 is 203021221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11118777 + ... + 11127867.

It is an arithmetic number, because the mean of its divisors is an integer number (1944233280).

Almost surely, 2101122120302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122120302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124430929920).

101122120302 is an abundant number, since it is smaller than the sum of its proper divisors (147739739538).

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

101122120302 is a wasteful number, since it uses less digits than its factorization.

101122120302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101122120302 its reverse (203021221101), we get a palindrome (304143341403).

The spelling of 101122120302 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 263 266 318 371 399 526 742 789 798 1007 1113 1578 1841 2014 2226 3021 3682 4997 5523 6042 7049 9091 9994 11046 13939 14098 14991 18182 21147 27273 27878 29982 34979 41817 42294 54546 63637 69958 83634 97573 104937 127274 172729 190911 195146 209874 264841 292719 345458 381822 481823 518187 529682 585438 794523 963646 1036374 1209103 1445469 1589046 1853887 2390933 2418206 2890938 3372761 3627309 3707774 4781866 5561661 6745522 7172799 7254618 9154637 10118283 11123322 14345598 16736531 18309274 20236566 27463911 33473062 45427727 50209593 54927822 64082459 90855454 100419186 126719449 128164918 136283181 192247377 253438898 272566362 317994089 380158347 384494754 635988178 760316694 887036143 953982267 1774072286 1907964534 2407669531 2661108429 4815339062 5322216858 7223008593 14446017186 16853686717 33707373434 50561060151 101122120302