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11012145012 = 22321117296223
BaseRepresentation
bin10100100000101111…
…11111111101110100
31001102110021221001200
422100113333331310
5140023102120022
65020420252500
7536614455021
oct122027777564
931373257050
1011012145012
1147410835a0
122173b41130
1310665ba64b
14766752548
15446b8cbac
hex2905fff74

11012145012 has 108 divisors (see below), whose sum is σ = 32258518656. Its totient is φ = 3140686080.

The previous prime is 11012144989. The next prime is 11012145019. The reversal of 11012145012 is 21054121011.

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 (11012145019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66333 + ... + 162555.

Almost surely, 211012145012 is an apocalyptic number.

11012145012 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 11012145012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129259328).

11012145012 is an abundant number, since it is smaller than the sum of its proper divisors (21246373644).

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

11012145012 is a wasteful number, since it uses less digits than its factorization.

11012145012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96278 (or 96256 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11012145012 its reverse (21054121011), we get a palindrome (32066266023).

The spelling of 11012145012 in words is "eleven billion, twelve million, one hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 5202 6358 6732 9537 10404 12716 19074 28611 38148 57222 96223 114444 192446 288669 384892 577338 866007 1058453 1154676 1635791 1732014 2116906 3175359 3271582 3464028 4233812 4907373 6350718 6543164 9526077 9814746 12701436 14722119 17993701 19052154 19629492 27808447 29444238 35987402 38104308 53981103 55616894 58888476 71974804 83425341 107962206 111233788 161943309 166850682 215924412 250276023 305892917 323886618 333701364 500552046 611785834 647773236 917678751 1001104092 1223571668 1835357502 2753036253 3670715004 5506072506 11012145012