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101020211001111 = 3374783317735953
BaseRepresentation
bin10110111110000010011001…
…110010101011011100010111
3111020200102211012022012010110
4112332002121302223130113
5101220103343004013421
6554504013321054103
730164320000441623
oct2676023162533427
9436612735265113
10101020211001111
112a208481578376
12b3b6488327333
13444a21b725b2c
141ad3593588183
15ba2b7a580a76
hex5be099cab717

101020211001111 has 64 divisors (see below), whose sum is σ = 143430628497408. Its totient is φ = 63159800997888.

The previous prime is 101020211001071. The next prime is 101020211001121. The reversal of 101020211001111 is 111100112020101.

It is not a de Polignac number, because 101020211001111 - 210 = 101020211000087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020211001121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136896511 + ... + 137632463.

It is an arithmetic number, because the mean of its divisors is an integer number (2241103570272).

Almost surely, 2101020211001111 is an apocalyptic number.

101020211001111 is a deficient number, since it is larger than the sum of its proper divisors (42410417496297).

101020211001111 is a wasteful number, since it uses less digits than its factorization.

101020211001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736440.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101020211001111 its reverse (111100112020101), we get a palindrome (212120323021212).

The spelling of 101020211001111 in words is "one hundred one trillion, twenty billion, two hundred eleven million, one thousand, one hundred eleven".

Divisors: 1 3 37 47 83 111 141 249 317 951 1739 3071 3901 5217 9213 11703 11729 14899 26311 35187 44697 78933 144337 433011 551263 735953 973507 1236617 1653789 2207859 2920521 3709851 27230261 34589791 45754829 61084099 81690783 103769373 137264487 183252297 233297101 699891303 1279822267 2260111663 2870952653 3839466801 6780334989 8612857959 8631992737 10964963747 19363659383 25895978211 32894891241 58090978149 106225248161 318675744483 405703658639 716455397171 910091991001 1217110975917 2149366191513 2730275973003 33673403667037 101020211001111