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112021201101012 = 22374019343355951
BaseRepresentation
bin11001011110000111110111…
…111001100010000011010100
3112200122010022010000011011120
4121132013313321202003110
5104140323404440213022
61034125455050003540
732411156535434010
oct3136076771420324
9480563263004146
10112021201101012
1132769a196a8a65
12106925617165b0
134a67727ccbac8
141d93bd8411540
15ce3dddb12d5c
hex65e1f7e620d4

112021201101012 has 96 divisors (see below), whose sum is σ = 299501042663424. Its totient is φ = 31922735040000.

The previous prime is 112021201101001. The next prime is 112021201101049. The reversal of 112021201101012 is 210101102120211.

It is a happy number.

It is a super-2 number, since 2×1120212011010122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112021201100982 and 112021201101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314531637 + ... + 314887587.

It is an arithmetic number, because the mean of its divisors is an integer number (3119802527744).

Almost surely, 2112021201101012 is an apocalyptic number.

112021201101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112021201101012 is an abundant number, since it is smaller than the sum of its proper divisors (187479841562412).

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

112021201101012 is a wasteful number, since it uses less digits than its factorization.

112021201101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365709 (or 365707 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112021201101012 its reverse (210101102120211), we get a palindrome (322122303221223).

The spelling of 112021201101012 in words is "one hundred twelve trillion, twenty-one billion, two hundred one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 401 802 1203 1604 2406 2807 4812 5614 8421 9343 11228 16842 18686 28029 33684 37372 56058 65401 112116 130802 196203 261604 355951 392406 711902 784812 1067853 1423804 2135706 2491657 3746543 4271412 4983314 7474971 7493086 9966628 11239629 14949942 14986172 22479258 26225801 29899884 44958516 52451602 78677403 104903204 142736351 157354806 285472702 314709612 428209053 570945404 856418106 999154457 1712836212 1998308914 2997463371 3325650193 3996617828 5994926742 6651300386 9976950579 11989853484 13302600772 19953901158 23279551351 39907802316 46559102702 69838654053 93118205404 139677308106 279354616212 1333585727393 2667171454786 4000757182179 5334342909572 8001514364358 9335100091751 16003028728716 18670200183502 28005300275253 37340400367004 56010600550506 112021201101012