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1123413044112 = 243231128878689
BaseRepresentation
bin10000010110010000101…
…000101010101110010000
310222101201120211122022200
4100112100220222232100
5121401222214402422
62220031104203200
7144110136214242
oct20262050525620
93871646748280
101123413044112
113a3489415627
12161884909500
1381c255c5028
143c532b94092
151e35119e2ac
hex10590a2ab90

1123413044112 has 120 divisors (see below), whose sum is σ = 3155561185920. Its totient is φ = 373094691840.

The previous prime is 1123413044069. The next prime is 1123413044113. The reversal of 1123413044112 is 2114403143211.

It is a happy number.

1123413044112 is a `hidden beast` number, since 1 + 1 + 2 + 341 + 304 + 4 + 1 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1123413044113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129287064 + ... + 129295752.

It is an arithmetic number, because the mean of its divisors is an integer number (26296343216).

Almost surely, 21123413044112 is an apocalyptic number.

1123413044112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123413044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577780592960).

1123413044112 is an abundant number, since it is smaller than the sum of its proper divisors (2032148141808).

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

1123413044112 is a wasteful number, since it uses less digits than its factorization.

1123413044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901 (or 11892 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1123413044112 its reverse (2114403143211), we get a palindrome (3237816187323).

Subtracting 1123413044112 from its reverse (2114403143211), we obtain a palindrome (990990099099).

The spelling of 1123413044112 in words is "one trillion, one hundred twenty-three billion, four hundred thirteen million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2488 2799 2887 3732 4976 5598 5774 7464 8661 8689 11196 11548 14928 17322 17378 22392 23096 25983 26067 34644 34756 44784 46192 51966 52134 69288 69512 78201 103932 104268 138576 139024 156402 207864 208536 312804 415728 417072 625608 897857 1251216 1795714 2693571 2702279 3591428 5387142 5404558 7182856 8080713 8106837 10774284 10809116 14365712 16161426 16213674 21548568 21618232 24320511 25085143 32322852 32427348 43097136 43236464 48641022 50170286 64645704 64854696 75255429 97282044 100340572 129291408 129709392 150510858 194564088 200681144 225766287 301021716 389128176 401362288 451532574 602043432 903065148 1204086864 1806130296 3612260592 7801479473 15602958946 23404438419 31205917892 46808876838 62411835784 70213315257 93617753676 124823671568 140426630514 187235507352 280853261028 374471014704 561706522056 1123413044112