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101112012110010 = 235112239909115053
BaseRepresentation
bin10110111111010111111001…
…100100000111100010111010
3111021000012202222021201011210
4112333113321210013202322
5101223104400100010020
6555014114521303550
730204046630131546
oct2677277144074272
9437005688251153
10101112012110010
112a2433aa940210
12b410228334bb6
134455a8b735b05
141ad7bc176aa26
15ba524ead43e0
hex5bf5f99078ba

101112012110010 has 128 divisors (see below), whose sum is σ = 264894596628480. Its totient is φ = 24496732627200.

The previous prime is 101112012109951. The next prime is 101112012110099. The reversal of 101112012110010 is 10011210211101.

101112012110010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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, 6717059644 + ... + 6717074696.

It is an arithmetic number, because the mean of its divisors is an integer number (2069489036160).

Almost surely, 2101112012110010 is an apocalyptic number.

101112012110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112012110010 is an abundant number, since it is smaller than the sum of its proper divisors (163782584518470).

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

101112012110010 is a wasteful number, since it uses less digits than its factorization.

101112012110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26404.

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

Adding to 101112012110010 its reverse (10011210211101), we get a palindrome (111123222321111).

The spelling of 101112012110010 in words is "one hundred one trillion, one hundred twelve billion, twelve million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2239 4478 6717 9091 11195 13434 15053 18182 22390 24629 27273 30106 33585 45159 45455 49258 54546 67170 73887 75265 90318 90910 100001 123145 136365 147774 150530 165583 200002 225795 246290 272730 300003 331166 369435 451590 496749 500005 600006 738870 827915 993498 1000010 1500015 1655830 2483745 3000030 4967490 20354749 33703667 40709498 61064247 67407334 101111001 101773745 122128494 136846823 168518335 202222002 203547490 223902239 273693646 305321235 337036670 370740337 410540469 447804478 505555005 610642470 671706717 684234115 741480674 821080938 1011110010 1112221011 1119511195 1343413434 1368468230 1505315053 1853701685 2052702345 2224442022 2239022390 3010630106 3358533585 3707403370 4105404690 4515945159 5561105055 6717067170 7526575265 9031890318 11122210110 15053150530 22579725795 45159451590 306400036697 612800073394 919200110091 1532000183485 1838400220182 3064000366970 3370400403667 4596000550455 6740800807334 9192001100910 10111201211001 16852002018335 20222402422002 33704004036670 50556006055005 101112012110010