Search a number
-
+
1123023030320 = 245192291340891
BaseRepresentation
bin10000010101111001011…
…000111000100000110000
310222100201101221212222102
4100111321120320200300
5121344422343432240
62215524252555532
7144064362153632
oct20257130704060
93870641855872
101123023030320
113a32a9250484
12161796182ba8
1381b9286bc39
143c4d706ca52
151e32bd0e815
hex10579638830

1123023030320 has 120 divisors (see below), whose sum is σ = 2850709574160. Its totient is φ = 410891604480.

The previous prime is 1123023030277. The next prime is 1123023030373. The reversal of 1123023030320 is 230303203211.

It is a super-2 number, since 2×11230230303202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1123023030292 and 1123023030301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167075 + ... + 1507965.

It is an arithmetic number, because the mean of its divisors is an integer number (23755913118).

Almost surely, 21123023030320 is an apocalyptic number.

1123023030320 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 1123023030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425354787080).

1123023030320 is an abundant number, since it is smaller than the sum of its proper divisors (1727686543840).

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

1123023030320 is a wasteful number, since it uses less digits than its factorization.

1123023030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340971 (or 1340946 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1123023030320 its reverse (230303203211), we get a palindrome (1353326233531).

The spelling of 1123023030320 in words is "one trillion, one hundred twenty-three billion, twenty-three million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 361 380 464 551 580 722 760 1102 1160 1444 1520 1805 2204 2320 2755 2888 3610 4408 5510 5776 7220 8816 10469 11020 14440 20938 22040 28880 41876 44080 52345 83752 104690 167504 209380 418760 837520 1340891 2681782 5363564 6704455 10727128 13408910 21454256 25476929 26817820 38885839 50953858 53635640 77771678 101907716 107271280 127384645 155543356 194429195 203815432 254769290 311086712 388858390 407630864 484061651 509538580 622173424 738830941 777716780 968123302 1019077160 1477661882 1555433560 1936246604 2038154320 2420308255 2955323764 3110867120 3694154705 3872493208 4840616510 5910647528 7388309410 7744986416 9681233020 11821295056 14037787879 14776618820 19362466040 28075575758 29553237640 38724932080 56151151516 59106475280 70188939395 112302303032 140377878790 224604606064 280755757580 561511515160 1123023030320