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1122030130304 = 27412234672053
BaseRepresentation
bin10000010100111110001…
…101010001010010000000
310222021011012122100012202
4100110332031101102000
5121340404203132204
62215241543412332
7144030644513456
oct20247615212200
93867135570182
101122030130304
113a2939836a56
121615597540a8
1381a64c49635
143c44124c9d6
151e2bea81e1e
hex1053e351480

1122030130304 has 128 divisors (see below), whose sum is σ = 2306129978880. Its totient is φ = 543445770240.

The previous prime is 1122030130303. The next prime is 1122030130327. The reversal of 1122030130304 is 4030310302211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11220301303042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122030130303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546530942 + ... + 546532994.

It is an arithmetic number, because the mean of its divisors is an integer number (18016640460).

Almost surely, 21122030130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122030130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153064989440).

1122030130304 is an abundant number, since it is smaller than the sum of its proper divisors (1184099848576).

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

1122030130304 is a wasteful number, since it uses less digits than its factorization.

1122030130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1122030130304 its reverse (4030310302211), we get a palindrome (5152340432515).

The spelling of 1122030130304 in words is "one trillion, one hundred twenty-two billion, thirty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 223 328 446 467 656 892 934 1312 1784 1868 2053 2624 3568 3736 4106 5248 7136 7472 8212 9143 14272 14944 16424 18286 19147 28544 29888 32848 36572 38294 59776 65696 73144 76588 84173 104141 131392 146288 153176 168346 208282 262784 292576 306352 336692 416564 457819 585152 612704 673384 833128 915638 958751 1170304 1225408 1346768 1666256 1831276 1917502 2450816 2693536 3332512 3662552 3835004 4269781 5387072 6665024 7325104 7670008 8539562 10774144 13330048 14650208 15340016 17079124 18770579 29300416 30680032 34158248 37541158 39308791 58600832 61360064 68316496 75082316 78617582 122720128 136632992 150164632 157235164 213801473 273265984 300329264 314470328 427602946 546531968 600658528 628940656 855205892 1201317056 1257881312 1710411784 2402634112 2515762624 3420823568 5031525248 6841647136 8765860393 13683294272 17531720786 27366588544 35063441572 70126883144 140253766288 280507532576 561015065152 1122030130304