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101022212100110 = 2574377343418107
BaseRepresentation
bin10110111110000100010001…
…000100010001000000001110
3111020200121222122201112220012
4112332010101010101000032
5101220121442244200420
6554504544043353222
730164420406501530
oct2676042104210016
9436617878645805
10101022212100110
112a2093090a56a4
12b3b6946522812
13444a47a196492
141ad370324b850
15ba2c460addc5
hex5be11111100e

101022212100110 has 64 divisors (see below), whose sum is σ = 212925180390912. Its totient is φ = 33786928054656.

The previous prime is 101022212100109. The next prime is 101022212100143. The reversal of 101022212100110 is 11001212220101.

It is a super-2 number, since 2×1010222121001102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19382324 + ... + 24035783.

It is an arithmetic number, because the mean of its divisors is an integer number (3326955943608).

Almost surely, 2101022212100110 is an apocalyptic number.

101022212100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022212100110 is an abundant number, since it is smaller than the sum of its proper divisors (111902968290802).

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

101022212100110 is a wasteful number, since it uses less digits than its factorization.

101022212100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43418937.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022212100110 its reverse (11001212220101), we get a palindrome (112023424320211).

The spelling of 101022212100110 in words is "one hundred one trillion, twenty-two billion, two hundred twelve million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 215 301 430 602 773 1505 1546 3010 3865 5411 7730 10822 27055 33239 54110 66478 166195 232673 332390 465346 1163365 2326730 43418107 86836214 217090535 303926749 434181070 607853498 1519633745 1866978601 3039267490 3733957202 9334893005 13068850207 18669786010 26137700414 33562196711 65344251035 67124393422 130688502070 167810983555 234935376977 335621967110 469870753954 1174676884885 1443174458573 2349353769770 2886348917146 7215872292865 10102221210011 14431744585730 20204442420022 50511106050055 101022212100110