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1122012030 = 235291011132
BaseRepresentation
bin100001011100000…
…1000101101111110
32220012021010011010
41002320020231332
54244213341110
6303200340050
736542642046
oct10270105576
92805233133
101122012030
1152638a277
12273914626
1314b5b9b59
14a902c726
1568783020
hex42e08b7e

1122012030 has 96 divisors (see below), whose sum is σ = 2838382560. Its totient is φ = 283494400.

The previous prime is 1122012007. The next prime is 1122012037. The reversal of 1122012030 is 302102211.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1122011997 and 1122012015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122012037) 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, 9929254 + ... + 9929366.

It is an arithmetic number, because the mean of its divisors is an integer number (29566485).

Almost surely, 21122012030 is an apocalyptic number.

1122012030 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 1122012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419191280).

1122012030 is an abundant number, since it is smaller than the sum of its proper divisors (1716370530).

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

1122012030 is a wasteful number, since it uses less digits than its factorization.

1122012030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1122012030 is about 33496.4480206484. The cubic root of 1122012030 is about 1039.1203206093.

Adding to 1122012030 its reverse (302102211), we get a palindrome (1424114241).

The spelling of 1122012030 in words is "one billion, one hundred twenty-two million, twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 101 113 145 174 202 226 290 303 339 435 505 565 606 678 870 1010 1130 1515 1695 2929 3030 3277 3390 5858 6554 8787 9831 11413 12769 14645 16385 17574 19662 22826 25538 29290 32770 34239 38307 43935 49155 57065 63845 68478 76614 87870 98310 114130 127690 171195 191535 330977 342390 370301 383070 661954 740602 992931 1110903 1289669 1654885 1851505 1985862 2221806 2579338 3309770 3703010 3869007 4964655 5554515 6448345 7738014 9929310 11109030 12896690 19345035 37400401 38690070 74800802 112201203 187002005 224402406 374004010 561006015 1122012030