Search a number
-
+
1124111012320 = 25523523584063
BaseRepresentation
bin10000010110111010001…
…111001101000111100000
310222110112020012002201001
4100112322033031013200
5121404134404343240
62220224240121344
7144133342644052
oct20267217150740
93873466162631
101124111012320
113a38073a745a
12161a3a606254
13820070a267a
143c59b75d8d2
151e3925be89a
hex105ba3cd1e0

1124111012320 has 96 divisors (see below), whose sum is σ = 2776481390592. Its totient is φ = 429271552512.

The previous prime is 1124111012317. The next prime is 1124111012341. The reversal of 1124111012320 is 232101114211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1632609 + ... + 2216671.

It is an arithmetic number, because the mean of its divisors is an integer number (28921681152).

Almost surely, 21124111012320 is an apocalyptic number.

1124111012320 is a gapful number since it is divisible by the number (10) 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 1124111012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388240695296).

1124111012320 is an abundant number, since it is smaller than the sum of its proper divisors (1652370378272).

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

1124111012320 is a wasteful number, since it uses less digits than its factorization.

1124111012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584624 (or 584616 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1124111012320 its reverse (232101114211), we get a palindrome (1356212126531).

The spelling of 1124111012320 in words is "one trillion, one hundred twenty-four billion, one hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 523 736 920 1046 1840 2092 2615 3680 4184 5230 8368 10460 12029 16736 20920 24058 41840 48116 60145 83680 96232 120290 192464 240580 384928 481160 584063 962320 1168126 1924640 2336252 2920315 4672504 5840630 9345008 11681260 13433449 18690016 23362520 26866898 46725040 53733796 67167245 93450080 107467592 134334490 214935184 268668980 305464949 429870368 537337960 610929898 1074675920 1221859796 1527324745 2149351840 2443719592 3054649490 4887439184 6109298980 7025693827 9774878368 12218597960 14051387654 24437195920 28102775308 35128469135 48874391840 56205550616 70256938270 112411101232 140513876540 224822202464 281027753080 562055506160 1124111012320