Search a number
-
+
1122000030 = 232523631859
BaseRepresentation
bin100001011100000…
…0101110010011110
32220012020111200200
41002320011302132
54244213000110
6303200204330
736542562054
oct10270056236
92805214620
101122000030
11526381258
122739096a6
1314b5b4558
14a90281d4
156877e6c0
hex42e05c9e

1122000030 has 96 divisors (see below), whose sum is σ = 3052408320. Its totient is φ = 285405120.

The previous prime is 1122000013. The next prime is 1122000031. The reversal of 1122000030 is 300002211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1121999976 and 1122000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122000031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305741 + ... + 1306599.

It is an arithmetic number, because the mean of its divisors is an integer number (31795920).

Almost surely, 21122000030 is an apocalyptic number.

1122000030 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 1122000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526204160).

1122000030 is an abundant number, since it is smaller than the sum of its proper divisors (1930408290).

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

1122000030 is a wasteful number, since it uses less digits than its factorization.

1122000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1122000030 is about 33496.2688966995. The cubic root of 1122000030 is about 1039.1166161070.

Adding to 1122000030 its reverse (300002211), we get a palindrome (1422002241).

The spelling of 1122000030 in words is "one billion, one hundred twenty-two million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 631 690 859 1035 1262 1718 1893 2070 2577 3155 3786 4295 5154 5679 6310 7731 8590 9465 11358 12885 14513 15462 18930 19757 25770 28395 29026 38655 39514 43539 56790 59271 72565 77310 87078 98785 118542 130617 145130 177813 197570 217695 261234 296355 355626 435390 542029 592710 653085 889065 1084058 1306170 1626087 1778130 2710145 3252174 4878261 5420290 8130435 9756522 12466667 16260870 24391305 24933334 37400001 48782610 62333335 74800002 112200003 124666670 187000005 224400006 374000010 561000015 1122000030