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1100002010112 = 21032119357857
BaseRepresentation
bin10000000000011101001…
…110101010010000000000
310220011022000211220002100
4100000131032222100000
5121010301003310422
62201200044350400
7142321034545635
oct20003516522000
93804260756070
101100002010112
11394565504245
12159230545400
137c9643301a5
143b35186c18c
151d930c4b7ac
hex1001d3aa400

1100002010112 has 66 divisors (see below), whose sum is σ = 3176231959238. Its totient is φ = 366667333632.

The previous prime is 1100002010101. The next prime is 1100002010123. The reversal of 1100002010112 is 2110102000011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100002010101) and next prime (1100002010123).

It can be written as a sum of positive squares in only one way, i.e., 822837666816 + 277164343296 = 907104^2 + 526464^2 .

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 = 1100002010094 and 1100002010103.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59669713 + ... + 59688144.

Almost surely, 21100002010112 is an apocalyptic number.

1100002010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100002010112 is an abundant number, since it is smaller than the sum of its proper divisors (2076229949126).

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

1100002010112 is a wasteful number, since it uses less digits than its factorization.

1100002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119357883 (or 119357862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100002010112 its reverse (2110102000011), we get a palindrome (3210104010123).

The spelling of 1100002010112 in words is "one trillion, one hundred billion, two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 119357857 238715714 358073571 477431428 716147142 954862856 1074220713 1432294284 1909725712 2148441426 2864588568 3819451424 4296882852 5729177136 7638902848 8593765704 11458354272 15277805696 17187531408 22916708544 30555611392 34375062816 45833417088 61111222784 68750125632 91666834176 122222445568 137500251264 183333668352 275000502528 366667336704 550001005056 1100002010112