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1100211001110 = 2325132111445453
BaseRepresentation
bin10000000000101001101…
…011111001011100010110
310220011211121002201211200
4100000221223321130112
5121011213004013420
62201232512013330
7142326153131064
oct20005153713426
93804747081750
101100211001110
11394662478281
1215928a531246
137c9987149c0
143b371511034
151d94427eb90
hex10029af9716

1100211001110 has 96 divisors (see below), whose sum is σ = 3082057026048. Its totient is φ = 270692271360.

The previous prime is 1100211001067. The next prime is 1100211001151. The reversal of 1100211001110 is 111001120011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100211001092 and 1100211001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2247144 + ... + 2692596.

It is an arithmetic number, because the mean of its divisors is an integer number (32104760688).

Almost surely, 21100211001110 is an apocalyptic number.

1100211001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100211001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541028513024).

1100211001110 is an abundant number, since it is smaller than the sum of its proper divisors (1981846024938).

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

1100211001110 is a wasteful number, since it uses less digits than its factorization.

1100211001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447590 (or 447587 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100211001110 its reverse (111001120011), we get a palindrome (1211212121121).

The spelling of 1100211001110 in words is "one trillion, one hundred billion, two hundred eleven million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2111 4222 6333 10555 12666 18999 21110 27443 31665 37998 54886 63330 82329 94995 137215 164658 189990 246987 274430 411645 445453 493974 823290 890906 1234935 1336359 2227265 2469870 2672718 4009077 4454530 5790889 6681795 8018154 11581778 13363590 17372667 20045385 28954445 34745334 40090770 52118001 57908890 86863335 104236002 173726670 260590005 521180010 940351283 1880702566 2821053849 4701756415 5642107698 8463161547 9403512830 12224566679 14105269245 16926323094 24449133358 28210538490 36673700037 42315807735 61122833395 73347400074 84631615470 110021100111 122245666790 183368500185 220042200222 366737000370 550105500555 1100211001110