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1030122221232 = 243133165381551
BaseRepresentation
bin11101111110110000001…
…00011010111010110000
310122110220222200210212110
432333120010122322300
5113334142242034412
62105122010125320
7134265250260006
oct16773004327260
93573828623773
101030122221232
11367966158605
12147789a20840
13761a8a848a0
1437c02bc8a76
151bbe0e83d3c
hexefd811aeb0

1030122221232 has 160 divisors (see below), whose sum is σ = 2962866364416. Its totient is φ = 306262656000.

The previous prime is 1030122221231. The next prime is 1030122221239. The reversal of 1030122221232 is 2321222210301.

It is a super-2 number, since 2×10301222212322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030122221199 and 1030122221208.

It is not an unprimeable number, because it can be changed into a prime (1030122221231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12590857 + ... + 12672407.

Almost surely, 21030122221232 is an apocalyptic number.

1030122221232 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 1030122221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481433182208).

1030122221232 is an abundant number, since it is smaller than the sum of its proper divisors (1932744143184).

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

1030122221232 is a wasteful number, since it uses less digits than its factorization.

1030122221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82259 (or 82253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1030122221232 its reverse (2321222210301), we get a palindrome (3351344431533).

The spelling of 1030122221232 in words is "one trillion, thirty billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 653 744 806 1209 1306 1488 1612 1959 2418 2612 3224 3918 4836 5224 6448 7836 8489 9672 10448 15672 16978 19344 20243 25467 31344 33956 40486 50934 60729 67912 80972 81551 101868 121458 135824 161944 163102 203736 242916 244653 263159 323888 326204 407472 485832 489306 526318 652408 789477 971664 978612 1052636 1060163 1304816 1578954 1957224 2105272 2120326 2528081 3157908 3180489 3914448 4210544 4240652 5056162 6315816 6360978 7584243 8481304 10112324 12631632 12721956 15168486 16962608 20224648 25443912 30336972 32865053 40449296 50887824 53252803 60673944 65730106 98595159 106505606 121347888 131460212 159758409 197190318 213011212 262920424 319516818 394380636 426022424 525840848 639033636 692286439 788761272 852044848 1278067272 1384572878 1577522544 1650836893 2076859317 2556134544 2769145756 3301673786 4153718634 4952510679 5538291512 6603347572 8307437268 9905021358 11076583024 13206695144 16614874536 19810042716 21460879609 26413390288 33229749072 39620085432 42921759218 64382638827 79240170864 85843518436 128765277654 171687036872 257530555308 343374073744 515061110616 1030122221232