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12101100230010 = 235113644946993
BaseRepresentation
bin1011000000011000000111…
…0001111101010101111010
31120211212001110222220212210
42300012001301331111322
53041231023124330020
641423100234515550
72356163354542461
oct260060161752572
946755043886783
1012101100230010
113946058672000
121435335b95bb6
1369a18a1308ac
142db9a6bdb9d8
1515eb9da393e0
hexb0181c7d57a

12101100230010 has 128 divisors (see below), whose sum is σ = 31950355910400. Its totient is φ = 2933082746880.

The previous prime is 12101100229969. The next prime is 12101100230077. The reversal of 12101100230010 is 1003200110121.

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, 257485074 + ... + 257532066.

It is an arithmetic number, because the mean of its divisors is an integer number (249612155550).

Almost surely, 212101100230010 is an apocalyptic number.

12101100230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101100230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975177955200).

12101100230010 is an abundant number, since it is smaller than the sum of its proper divisors (19849255680390).

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

12101100230010 is a wasteful number, since it uses less digits than its factorization.

12101100230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53485 (or 53463 counting only the distinct ones).

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

Adding to 12101100230010 its reverse (1003200110121), we get a palindrome (13104300340131).

The spelling of 12101100230010 in words is "twelve trillion, one hundred one billion, one hundred million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1331 1815 2662 3630 3993 6449 6655 7986 12898 13310 19347 19965 32245 38694 39930 46993 64490 70939 93986 96735 140979 141878 193470 212817 234965 281958 354695 425634 469930 516923 704895 709390 780329 1033846 1064085 1409790 1550769 1560658 2128170 2340987 2584615 3101538 3901645 4681974 5169230 5686153 7753845 7803290 8583619 11372306 11704935 15507690 17058459 17167238 23409870 25750857 28430765 34116918 42918095 51501714 56861530 62547683 85292295 85836190 125095366 128754285 170584590 187643049 257508570 303057857 312738415 375286098 606115714 625476830 909173571 938215245 1515289285 1818347142 1876430490 3030578570 3333636427 4545867855 6667272854 9091735710 10000909281 16668182135 20001818562 33336364270 36670000697 50004546405 73340001394 100009092810 110010002091 183350003485 220020004182 366700006970 403370007667 550050010455 806740015334 1100100020910 1210110023001 2016850038335 2420220046002 4033700076670 6050550115005 12101100230010