Search a number
-
+
12100022011110 = 2351123557937121
BaseRepresentation
bin1011000000010100000110…
…0000111000010011100110
31120211202021100010201121110
42300011001200320103212
53041221321113323420
641422401240525450
72356124553044235
oct260050140702346
946752240121543
1012100022011110
113945654a84200
121435094a80886
1369a047937c47
142db90392cb1c
1515eb39056ee0
hexb01418384e6

12100022011110 has 96 divisors (see below), whose sum is σ = 31929066007776. Its totient is φ = 2932510873600.

The previous prime is 12100022011093. The next prime is 12100022011139. The reversal of 12100022011110 is 1111022000121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12443350 + ... + 13380470.

It is an arithmetic number, because the mean of its divisors is an integer number (332594437581).

Almost surely, 212100022011110 is an apocalyptic number.

12100022011110 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 12100022011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964533003888).

12100022011110 is an abundant number, since it is smaller than the sum of its proper divisors (19829043996666).

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

12100022011110 is a wasteful number, since it uses less digits than its factorization.

12100022011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940710 (or 940699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12100022011110 its reverse (1111022000121), we get a palindrome (13211044011231).

The spelling of 12100022011110 in words is "twelve trillion, one hundred billion, twenty-two million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3557 3630 7114 10671 17785 21342 35570 39127 53355 78254 106710 117381 195635 234762 391270 430397 586905 860794 937121 1173810 1291191 1874242 2151985 2582382 2811363 4303970 4685605 5622726 6455955 9371210 10308331 12911910 14056815 20616662 28113630 30924993 51541655 61849986 103083310 113391641 154624965 226783282 309249930 340174923 566958205 680349846 1133916410 1700874615 3333339397 3401749230 6666678794 10000018191 16666696985 20000036382 33333393970 36666733367 50000090955 73333466734 100000181910 110000200101 183333666835 220000400202 366667333670 403334067037 550001000505 806668134074 1100002001010 1210002201111 2016670335185 2420004402222 4033340670370 6050011005555 12100022011110