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12101110032 = 24311197915269
BaseRepresentation
bin10110100010100100…
…00100100100010000
31011020100101002020110
423101102010210100
5144240341010112
65320440441320
7605606511114
oct132122044420
934210332213
1012101110032
11514a841090
122418779240
1311ab0a664b
1482b21b744
154ac59413c
hex2d1484910

12101110032 has 160 divisors (see below), whose sum is σ = 36354816000. Its totient is φ = 3429803520.

The previous prime is 12101110003. The next prime is 12101110039. The reversal of 12101110032 is 23001110121.

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

It is not an unprimeable number, because it can be changed into a prime (12101110039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784894 + ... + 800162.

It is an arithmetic number, because the mean of its divisors is an integer number (227217600).

Almost surely, 212101110032 is an apocalyptic number.

12101110032 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 12101110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177408000).

12101110032 is an abundant number, since it is smaller than the sum of its proper divisors (24253705968).

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

12101110032 is a wasteful number, since it uses less digits than its factorization.

12101110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15383 counting only the distinct ones).

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

Adding to 12101110032 its reverse (23001110121), we get a palindrome (35102220153).

The spelling of 12101110032 in words is "twelve billion, one hundred one million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 79 88 114 132 152 158 176 209 228 237 264 304 316 418 456 474 528 627 632 836 869 912 948 1254 1264 1501 1672 1738 1896 2508 2607 3002 3344 3476 3792 4503 5016 5214 6004 6952 9006 10032 10428 12008 13904 15269 16511 18012 20856 24016 30538 33022 36024 41712 45807 49533 61076 66044 72048 91614 99066 122152 132088 167959 183228 198132 244304 264176 290111 335918 366456 396264 503877 580222 671836 732912 792528 870333 1007754 1160444 1206251 1343672 1740666 2015508 2320888 2412502 2687344 3191221 3481332 3618753 4031016 4641776 4825004 6382442 6962664 7237506 8062032 9573663 9650008 12764884 13268761 13925328 14475012 19147326 19300016 22918769 25529768 26537522 28950024 38294652 39806283 45837538 51059536 53075044 57900048 68756307 76589304 79612566 91675076 106150088 137512614 153178608 159225132 183350152 212300176 252106459 275025228 318450264 366700304 504212918 550050456 636900528 756319377 1008425836 1100100912 1512638754 2016851672 3025277508 4033703344 6050555016 12101110032