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11100110232 = 23319311136949
BaseRepresentation
bin10100101011001111…
…00011110110011000
31001122120211000122210
422111213203312120
5140213112011412
65033241515120
7542033244261
oct122547436630
931576730583
1011100110232
1147867a5122
1221994a2aa0
13107b8a9383
147742cd968
1544e76683c
hex2959e3d98

11100110232 has 128 divisors (see below), whose sum is σ = 30424320000. Its totient is φ = 3361720320.

The previous prime is 11100110227. The next prime is 11100110239. The reversal of 11100110232 is 23201100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100110239) 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, 1593894 + ... + 1600842.

It is an arithmetic number, because the mean of its divisors is an integer number (237690000).

Almost surely, 211100110232 is an apocalyptic number.

11100110232 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 11100110232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212160000).

11100110232 is an abundant number, since it is smaller than the sum of its proper divisors (19324209768).

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

11100110232 is a wasteful number, since it uses less digits than its factorization.

11100110232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7117 counting only the distinct ones).

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

Adding to 11100110232 its reverse (23201100111), we get a palindrome (34301210343).

The spelling of 11100110232 in words is "eleven billion, one hundred million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 113 114 124 152 186 226 228 248 339 372 452 456 589 678 744 904 1178 1356 1767 2147 2356 2712 3503 3534 4294 4712 6441 6949 7006 7068 8588 10509 12882 13898 14012 14136 17176 20847 21018 25764 27796 28024 41694 42036 51528 55592 66557 83388 84072 132031 133114 166776 199671 215419 264062 266228 396093 399342 430838 528124 532456 646257 785237 792186 798684 861676 1056248 1292514 1570474 1584372 1597368 1723352 2355711 2585028 3140948 3168744 4092961 4711422 5170056 6281896 8185922 9422844 12278883 14919503 16371844 18845688 24342347 24557766 29839006 32743688 44758509 48684694 49115532 59678012 73027041 89517018 97369388 98231064 119356024 146054082 179034036 194738776 292108164 358068072 462504593 584216328 925009186 1387513779 1850018372 2775027558 3700036744 5550055116 11100110232