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101112310111002 = 2317192910916505389
BaseRepresentation
bin10110111111011000001011…
…010100111001101100011010
3111021000020112202000201200120
4112333120023110321230122
5101223111002342023002
6555014204244414110
730204060206114241
oct2677301324715432
9437006482021616
10101112310111002
112a243543079823
12b4102b00a7336
134455b083b3a68
141ad7c0d17d958
15ba526ad4acbc
hex5bf60b539b1a

101112310111002 has 128 divisors (see below), whose sum is σ = 235300839840000. Its totient is φ = 28749480947712.

The previous prime is 101112310110953. The next prime is 101112310111003. The reversal of 101112310111002 is 200111013211101.

It is a super-2 number, since 2×1011123101110022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101112310111003) 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, 2126677 + ... + 14378712.

It is an arithmetic number, because the mean of its divisors is an integer number (1838287811250).

Almost surely, 2101112310111002 is an apocalyptic number.

101112310111002 is an abundant number, since it is smaller than the sum of its proper divisors (134188529728998).

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

101112310111002 is a wasteful number, since it uses less digits than its factorization.

101112310111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16505568.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 101112310111002 its reverse (200111013211101), we get a palindrome (301223323322103).

The spelling of 101112310111002 in words is "one hundred one trillion, one hundred twelve billion, three hundred ten million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 17 19 29 34 38 51 57 58 87 102 109 114 174 218 323 327 493 551 646 654 969 986 1102 1479 1653 1853 1938 2071 2958 3161 3306 3706 4142 5559 6213 6322 9367 9483 11118 12426 18734 18966 28101 35207 53737 56202 60059 70414 105621 107474 120118 161211 180177 211242 322422 360354 1021003 2042006 3063009 6126018 16505389 33010778 49516167 99032334 280591613 313602391 478656281 561183226 627204782 841774839 940807173 957312562 1435968843 1683549678 1799087401 1881614346 2871937686 3598174802 5331240647 5397262203 8137156777 9094469339 10662481294 10794524406 15993721941 16274313554 18188938678 24411470331 27283408017 30584485817 31987443882 34182660619 48822940662 52173534629 54566816034 61168971634 68365321238 91753457451 102547981857 104347069258 154605978763 156520603887 183506914902 205095963714 309211957526 313041207774 463817936289 581105230523 886950088693 927635872578 991297157951 1162210461046 1743315691569 1773900177386 1982594315902 2660850266079 2973891473853 3486631383138 5321700532158 5947782947706 16852051685167 33704103370334 50556155055501 101112310111002