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1100111211100 = 2252117114085931
BaseRepresentation
bin10000000000100011101…
…111001110101001011100
310220011120122022212200101
4100000203233032221130
5121011011432223400
62201214545110444
7142323532002106
oct20004357165134
93804518285611
101100111211100
1139461110a5a0
12159261028424
137c980b45965
143b362176576
151d93a61c56a
hex10023bcea5c

1100111211100 has 72 divisors (see below), whose sum is σ = 2640943218816. Its totient is φ = 394406040000.

The previous prime is 1100111211097. The next prime is 1100111211137. The reversal of 1100111211100 is 11121110011.

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, 6964866 + ... + 7121065.

It is an arithmetic number, because the mean of its divisors is an integer number (36679766928).

Almost surely, 21100111211100 is an apocalyptic number.

1100111211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100111211100 is an abundant number, since it is smaller than the sum of its proper divisors (1540832007716).

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

1100111211100 is a wasteful number, since it uses less digits than its factorization.

1100111211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086027 (or 14086020 counting only the distinct ones).

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

Adding to 1100111211100 its reverse (11121110011), we get a palindrome (1111232321111).

The spelling of 1100111211100 in words is "one trillion, one hundred billion, one hundred eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 39050 78100 14085931 28171862 56343724 70429655 140859310 154945241 281718620 309890482 352148275 619780964 704296550 774726205 1000101101 1408593100 1549452410 2000202202 3098904820 3873631025 4000404404 5000505505 7747262050 10001011010 11001112111 15494524100 20002022020 22002224222 25002527525 44004448444 50005055050 55005560555 100010110100 110011121110 220022242220 275027802775 550055605550 1100111211100