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1100002002220 = 2251136754125183
BaseRepresentation
bin10000000000011101001…
…110101000010100101100
310220011022000211111021001
4100000131032220110230
5121010301003032340
62201200044250044
7142321034513632
oct20003516502454
93804260744231
101100002002220
113945654a9320
12159230540924
137c964329714
143b351869352
151d930c4929a
hex1001d3a852c

1100002002220 has 96 divisors (see below), whose sum is σ = 2531642351616. Its totient is φ = 398157638400.

The previous prime is 1100002002179. The next prime is 1100002002221. The reversal of 1100002002220 is 222002000011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100002002197 and 1100002002206.

It is not an unprimeable number, because it can be changed into a prime (1100002002221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43667749 + ... + 43692931.

It is an arithmetic number, because the mean of its divisors is an integer number (26371274496).

Almost surely, 21100002002220 is an apocalyptic number.

1100002002220 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 1100002002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265821175808).

1100002002220 is an abundant number, since it is smaller than the sum of its proper divisors (1431640349396).

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

1100002002220 is a wasteful number, since it uses less digits than its factorization.

1100002002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26111 (or 26109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1100002002220 its reverse (222002000011), we get a palindrome (1322004002231).

The spelling of 1100002002220 in words is "one trillion, one hundred billion, two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 367 541 734 1082 1468 1835 2164 2705 3670 4037 5410 5951 7340 8074 10820 11902 16148 20185 23804 25183 29755 40370 50366 59510 80740 100732 119020 125915 198547 251830 277013 397094 503660 554026 794188 992735 1108052 1385065 1985470 2184017 2770130 3970940 4368034 5540260 8736068 9242161 10920085 13624003 18484322 21840170 27248006 36968644 43680340 46210805 54496012 68120015 92421610 101663771 136240030 149864033 184843220 203327542 272480060 299728066 406655084 508318855 599456132 749320165 1016637710 1498640330 2033275420 2997280660 5000009101 10000018202 20000036404 25000045505 50000091010 55000100111 100000182020 110000200222 220000400444 275000500555 550001001110 1100002002220