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1106666111720 = 235135933588877
BaseRepresentation
bin10000000110101010011…
…100001100001011101000
310220210111110112022220102
4100012222130030023220
5121112423011033340
62204221223244532
7142645134512411
oct20065234141350
93823443468812
101106666111720
11397375195434
1215a5902a9748
1380486b79690
143b7c494c808
151dbc0d15215
hex101aa70c2e8

1106666111720 has 64 divisors (see below), whose sum is σ = 2686059850320. Its totient is φ = 407926001664.

The previous prime is 1106666111711. The next prime is 1106666111767. The reversal of 1106666111720 is 271116666011.

It can be written as a sum of positive squares in 8 ways, for example, as 689368199524 + 417297912196 = 830282^2 + 645986^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486079 + ... + 2102798.

Almost surely, 21106666111720 is an apocalyptic number.

1106666111720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106666111720 is an abundant number, since it is smaller than the sum of its proper divisors (1579393738600).

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

1106666111720 is a wasteful number, since it uses less digits than its factorization.

1106666111720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589494 (or 3589490 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 1106666111720 in words is "one trillion, one hundred six billion, six hundred sixty-six million, one hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 593 1186 2372 2965 4744 5930 7709 11860 15418 23720 30836 38545 61672 77090 154180 308360 3588877 7177754 14355508 17944385 28711016 35888770 46655401 71777540 93310802 143555080 186621604 233277005 373243208 466554010 933108020 1866216040 2128204061 4256408122 8512816244 10641020305 17025632488 21282040610 27666652793 42564081220 55333305586 85128162440 110666611172 138333263965 221333222344 276666527930 553333055860 1106666111720