Search a number
-
+
1113117012 = 223376412297
BaseRepresentation
bin100001001011000…
…1101000101010100
32212120112012111000
41002112031011110
54234424221022
6302241543300
736404224050
oct10226150524
92776465430
101113117012
11521364317
12270944b30
131497c4227
14a7b94c60
1567ac76ac
hex4258d154

1113117012 has 96 divisors (see below), whose sum is σ = 3304707840. Its totient is φ = 317399040.

The previous prime is 1113117011. The next prime is 1113117013. The reversal of 1113117012 is 2107113111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1113117011) and next prime (1113117013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113117011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483448 + ... + 485744.

It is an arithmetic number, because the mean of its divisors is an integer number (34424040).

Almost surely, 21113117012 is an apocalyptic number.

1113117012 is a gapful number since it is divisible by the number (12) 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 1113117012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652353920).

1113117012 is an abundant number, since it is smaller than the sum of its proper divisors (2191590828).

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

1113117012 is a wasteful number, since it uses less digits than its factorization.

1113117012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 1113117012 is about 33363.4082791312. The cubic root of 1113117012 is about 1036.3670740002.

The spelling of 1113117012 in words is "one billion, one hundred thirteen million, one hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 641 756 1282 1923 2297 2564 3846 4487 4594 5769 6891 7692 8974 9188 11538 13461 13782 16079 17307 17948 20673 23076 26922 27564 32158 34614 40383 41346 48237 53844 62019 64316 69228 80766 82692 96474 121149 124038 144711 161532 192948 242298 248076 289422 434133 484596 578844 868266 1472377 1736532 2944754 4417131 5889508 8834262 10306639 13251393 17668524 20613278 26502786 30919917 39754179 41226556 53005572 61839834 79508358 92759751 123679668 159016716 185519502 278279253 371039004 556558506 1113117012