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2200011100020 = 2232537376787691
BaseRepresentation
bin100000000000111010111…
…000010100111101110100
321210022121120000110211100
4200000322320110331310
5242021110320200040
64402400545010100
7314642216542446
oct40007270247564
97708546013740
102200011100020
11779023a03658
122b6463323930
1312c5c9c6b9b6
14786a4220496
153c3623e5b30
hex2003ae14f74

2200011100020 has 144 divisors (see below), whose sum is σ = 6855625865088. Its totient is φ = 570655653120.

The previous prime is 2200011099961. The next prime is 2200011100051. The reversal of 2200011100020 is 200011100022.

It is a super-2 number, since 2×22000111000202 (a number of 25 digits) contains 22 as substring.

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 = 2200011099975 and 2200011100011.

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, 25044375 + ... + 25132065.

It is an arithmetic number, because the mean of its divisors is an integer number (47608512952).

Almost surely, 22200011100020 is an apocalyptic number.

2200011100020 is a gapful number since it is divisible by the number (20) 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 2200011100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427812932544).

2200011100020 is an abundant number, since it is smaller than the sum of its proper divisors (4655614765068).

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

2200011100020 is a wasteful number, since it uses less digits than its factorization.

2200011100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91510 (or 91505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200011100020 its reverse (200011100022), we get a palindrome (2400022200042).

The spelling of 2200011100020 in words is "two trillion, two hundred billion, eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3767 6660 7534 11301 15068 18835 22602 33903 37670 45204 56505 67806 75340 87691 113010 135612 139379 169515 175382 226020 263073 278758 339030 350764 418137 438455 526146 557516 678060 696895 789219 836274 876910 1052292 1254411 1315365 1393790 1578438 1672548 1753820 2090685 2508822 2630730 2787580 3156876 3244567 3946095 4181370 5017644 5261460 6272055 6489134 7892190 8362740 9733701 12544110 12978268 15784380 16222835 19467402 25088220 29201103 32445670 38934804 48668505 58402206 64891340 97337010 116804412 146005515 194674020 292011030 330331997 584022060 660663994 990995991 1321327988 1651659985 1981991982 2972987973 3303319970 3963983964 4954979955 5945975946 6606639940 9909959910 11891951892 12222283889 14864939865 19819919820 24444567778 29729879730 36666851667 48889135556 59459759460 61111419445 73333703334 110000555001 122222838890 146667406668 183334258335 220001110002 244445677780 366668516670 440002220004 550002775005 733337033340 1100005550010 2200011100020