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11132103101112 = 233379775902083
BaseRepresentation
bin1010000111111110010100…
…0011010000101010111000
31110102012220101221112022000
42201333211003100222320
52424342021343213422
635402003443301000
72226160615051650
oct241774503205270
943365811845260
1011132103101112
113602109a95034
1212b958697a760
136299a2c310c6
142a6b22097360
15144888e98cac
hexa1fe50d0ab8

11132103101112 has 128 divisors (see below), whose sum is σ = 35704340313600. Its totient is φ = 3147811144704.

The previous prime is 11132103101107. The next prime is 11132103101113. The reversal of 11132103101112 is 21110130123111.

11132103101112 is a `hidden beast` number, since 1 + 11 + 321 + 0 + 310 + 11 + 12 = 666.

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 (11132103101113) 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, 37804378 + ... + 38097705.

It is an arithmetic number, because the mean of its divisors is an integer number (278940158700).

Almost surely, 211132103101112 is an apocalyptic number.

11132103101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11132103101112 is an abundant number, since it is smaller than the sum of its proper divisors (24572237212488).

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

11132103101112 is a wasteful number, since it uses less digits than its factorization.

11132103101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75902202 (or 75902192 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11132103101112 its reverse (21110130123111), we get a palindrome (32242233224223).

The spelling of 11132103101112 in words is "eleven trillion, one hundred thirty-two billion, one hundred three million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 873 1164 1358 1512 1746 2037 2328 2619 2716 3492 4074 5238 5432 6111 6984 8148 10476 12222 16296 18333 20952 24444 36666 48888 73332 146664 75902083 151804166 227706249 303608332 455412498 531314581 607216664 683118747 910824996 1062629162 1366237494 1593943743 1821649992 2049356241 2125258324 2732474988 3187887486 4098712482 4250516648 4781831229 5464949976 6375774972 7362502051 8197424964 9563662458 12751549944 14345493687 14725004102 16394849928 19127324916 22087506153 28690987374 29450008204 38254649832 44175012306 51537514357 57381974748 58900016408 66262518459 88350024612 103075028714 114763949496 132525036918 154612543071 176700049224 198787555377 206150057428 265050073836 309225086142 397575110754 412300114856 463837629213 530100147672 618450172284 795150221508 927675258426 1236900344568 1391512887639 1590300443016 1855350516852 2783025775278 3710701033704 5566051550556 11132103101112