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1111222220200 = 2352101170932189
BaseRepresentation
bin10000001010111010000…
…000010111010110101000
310221020020222122121202221
4100022322000113112220
5121201240342021300
62210253300403424
7143166060011461
oct20127200272650
93836228577687
101111222220200
113992a2a79144
1215b4420a6574
1380a31a69a61
143bad7aa1d68
151dd8acd831a
hex102ba0175a8

1111222220200 has 96 divisors (see below), whose sum is σ = 2610779607000. Its totient is φ = 439816832000.

The previous prime is 1111222220191. The next prime is 1111222220219. The reversal of 1111222220200 is 20222221111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 81650776516 + 1029571443684 = 285746^2 + 1014678^2 .

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, 34505706 + ... + 34537894.

Almost surely, 21111222220200 is an apocalyptic number.

1111222220200 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 1111222220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305389803500).

1111222220200 is an abundant number, since it is smaller than the sum of its proper divisors (1499557386800).

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

1111222220200 is a wasteful number, since it uses less digits than its factorization.

1111222220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34015 (or 34006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1111222220200 its reverse (20222221111), we get a palindrome (1131444441311).

The spelling of 1111222220200 in words is "one trillion, one hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 1709 2020 2525 3418 4040 5050 6836 8545 10100 13672 17090 20200 32189 34180 42725 64378 68360 85450 128756 160945 170900 172609 257512 321890 341800 345218 643780 690436 804725 863045 1287560 1380872 1609450 1726090 3218900 3251089 3452180 4315225 6437800 6502178 6904360 8630450 13004356 16255445 17260900 26008712 32510890 34521800 55011001 65021780 81277225 110022002 130043560 162554450 220044004 275055005 325108900 440088008 550110010 650217800 1100220020 1375275025 2200440040 2750550050 5501100100 5556111101 11002200200 11112222202 22224444404 27780555505 44448888808 55561111010 111122222020 138902777525 222244444040 277805555050 555611110100 1111222220200