Search a number
-
+
1022434030410 = 2351319743185707
BaseRepresentation
bin11101110000011011101…
…00010011001101001010
310121202002012000020202020
432320031310103031022
5113222421102433120
62101411045345310
7133603603602342
oct16701564231512
93552065006666
101022434030410
1136468039aaa1
121461a3108236
1375552015750
14376b3ac9d22
151b8e102b640
hexee0dd1334a

1022434030410 has 128 divisors (see below), whose sum is σ = 2785441720320. Its totient is φ = 238107776256.

The previous prime is 1022434030231. The next prime is 1022434030469. The reversal of 1022434030410 is 140304342201.

1022434030410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5412777 + ... + 5598483.

It is an arithmetic number, because the mean of its divisors is an integer number (21761263440).

Almost surely, 21022434030410 is an apocalyptic number.

1022434030410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022434030410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392720860160).

1022434030410 is an abundant number, since it is smaller than the sum of its proper divisors (1763007689910).

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

1022434030410 is a wasteful number, since it uses less digits than its factorization.

1022434030410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186492.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1022434030410 its reverse (140304342201), we get a palindrome (1162738372611).

The spelling of 1022434030410 in words is "one trillion, twenty-two billion, four hundred thirty-four million, thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 743 1235 1482 1486 2229 2470 3705 3715 4458 7410 7430 9659 11145 14117 19318 22290 28234 28977 42351 48295 57954 70585 84702 96590 141170 144885 183521 185707 211755 289770 367042 371414 423510 550563 557121 917605 928535 1101126 1114242 1835210 1857070 2414191 2752815 2785605 3528433 4828382 5505630 5571210 7056866 7242573 10585299 12070955 14485146 17642165 21170598 24141910 35284330 36212865 45869629 52926495 72425730 91739258 105852990 137608887 137980301 229348145 275217774 275960602 413940903 458696290 688044435 689901505 827881806 1376088870 1379803010 1793743913 2069704515 2621625719 3587487826 4139409030 5243251438 5381231739 7864877157 8968719565 10762463478 13108128595 15729754314 17937439130 26216257190 26906158695 34081134347 39324385785 53812317390 68162268694 78648771570 102243403041 170405671735 204486806082 340811343470 511217015205 1022434030410