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12110001111100 = 22521013511341501
BaseRepresentation
bin1011000000111001010001…
…0100001000000000111100
31120212201000210120112022101
42300032110110020000330
53041402240241023400
641431131355354444
72356630055021224
oct260162424100074
946781023515271
1012110001111100
113949905a13782
121436bbaa52a24
1369ac781b8439
142dc1acdb1084
1516002018756a
hexb039450803c

12110001111100 has 72 divisors (see below), whose sum is σ = 26546524101216. Its totient is φ = 4794660000000.

The previous prime is 12110001111083. The next prime is 12110001111113. The reversal of 12110001111100 is 111110001121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35290350 + ... + 35631850.

It is an arithmetic number, because the mean of its divisors is an integer number (368701723628).

Almost surely, 212110001111100 is an apocalyptic number.

12110001111100 is a gapful number since it is divisible by the number (10) 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 12110001111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273262050608).

12110001111100 is an abundant number, since it is smaller than the sum of its proper divisors (14436522990116).

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

12110001111100 is a wasteful number, since it uses less digits than its factorization.

12110001111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345127 (or 345120 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 12110001111100 its reverse (111110001121), we get a palindrome (12221111112221).

The spelling of 12110001111100 in words is "twelve trillion, one hundred ten billion, one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 3511 5050 7022 10100 14044 17555 35110 70220 87775 175550 341501 351100 354611 683002 709222 1366004 1418444 1707505 1773055 3415010 3546110 6830020 7092220 8537525 8865275 17075050 17730550 34150100 34491601 35461100 68983202 137966404 172458005 344916010 689832020 862290025 1199010011 1724580050 2398020022 3449160100 4796040044 5995050055 11990100110 23980200220 29975250275 59950500550 119901001100 121100011111 242200022222 484400044444 605500055555 1211000111110 2422000222220 3027500277775 6055000555550 12110001111100