Search a number
-
+
1011121505030 = 2571317251260399
BaseRepresentation
bin11101011011010111000…
…10011100001100000110
310120122212210111102021202
432231223202130030012
5113031234101130110
62052300334542502
7133023350661650
oct16555342341406
93518783442252
101011121505030
1135a8a580326a
12143b66667a32
137446b426150
1436d1d5056d0
151b47cd070a5
hexeb6b89c306

1011121505030 has 128 divisors (see below), whose sum is σ = 2381247590400. Its totient is φ = 299978496000.

The previous prime is 1011121504901. The next prime is 1011121505039. The reversal of 1011121505030 is 305051211101.

It is a happy number.

1011121505030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011121504993 and 1011121505011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011121505039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3752771 + ... + 4013169.

It is an arithmetic number, because the mean of its divisors is an integer number (18603496800).

Almost surely, 21011121505030 is an apocalyptic number.

1011121505030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011121505030 is an abundant number, since it is smaller than the sum of its proper divisors (1370126085370).

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

1011121505030 is a wasteful number, since it uses less digits than its factorization.

1011121505030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260694.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 1011121505030 its reverse (305051211101), we get a palindrome (1316172716131).

It can be divided in two parts, 1011121 and 505030, that added together give a palindrome (1516151).

The spelling of 1011121505030 in words is "one trillion, eleven billion, one hundred twenty-one million, five hundred five thousand, thirty".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 65 70 85 91 119 130 170 182 221 238 251 442 455 502 595 910 1105 1190 1255 1547 1757 2210 2510 3094 3263 3514 4267 6526 7735 8534 8785 15470 16315 17570 21335 22841 29869 32630 42670 45682 55471 59738 110942 114205 149345 228410 260399 277355 298690 388297 520798 554710 776594 1301995 1822793 1941485 2603990 3385187 3645586 3882970 4426783 6770374 8853566 9113965 16925935 18227930 22133915 23696309 30987481 33851870 44267830 47392618 57548179 61974962 65360149 115096358 118481545 130720298 154937405 236963090 287740895 309874810 326800745 402837253 457521043 575481790 653601490 805674506 849681937 915042086 1111122533 1699363874 2014186265 2222245066 2287605215 4028372530 4248409685 4575210430 5555612665 5947773559 7777857731 8496819370 11111225330 11895547118 14444592929 15555715462 28889185858 29738867795 38889288655 59477735590 72222964645 77778577310 101112150503 144445929290 202224301006 505560752515 1011121505030