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2200032100032 = 263133301267017
BaseRepresentation
bin100000000000111100001…
…000011011111011000000
321210022200000112101102120
4200000330020123323000
5242021131204200112
64402403015044240
7314642563205124
oct40007410337300
97708600471376
102200032100032
11779034847238
122b646a370680
1312c601412340
14786a6d29584
153c364192e8c
hex2003c21bec0

2200032100032 has 112 divisors (see below), whose sum is σ = 6270603716832. Its totient is φ = 676725350400.

The previous prime is 2200032099977. The next prime is 2200032100069. The reversal of 2200032100032 is 2300012300022.

It is a junction number, because it is equal to n+sod(n) for n = 2200032099984 and 2200032100020.

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, 8105788 + ... + 8372804.

It is an arithmetic number, because the mean of its divisors is an integer number (55987533186).

Almost surely, 22200032100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200032100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135301858416).

2200032100032 is an abundant number, since it is smaller than the sum of its proper divisors (4070571616800).

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

2200032100032 is a wasteful number, since it uses less digits than its factorization.

2200032100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270346 (or 270336 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2200032100032 its reverse (2300012300022), we get a palindrome (4500044400054).

The spelling of 2200032100032 in words is "two trillion, two hundred billion, thirty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 3301 6602 9903 13204 19806 26408 39612 42913 52816 79224 85826 105632 128739 158448 171652 211264 257478 267017 316896 343304 514956 534034 633792 686608 801051 1029912 1068068 1373216 1602102 2059824 2136136 2746432 3204204 3471221 4119648 4272272 6408408 6942442 8239296 8544544 10413663 12816816 13884884 17089088 20827326 25633632 27769768 41654652 51267264 55539536 83309304 111079072 166618608 222158144 333237216 666474432 881423117 1762846234 2644269351 3525692468 5288538702 7051384936 10577077404 11458500521 14102769872 21154154808 22917001042 28205539744 34375501563 42308309616 45834002084 56411079488 68751003126 84616619232 91668004168 137502006252 169233238464 183336008336 275004012504 366672016672 550008025008 733344033344 1100016050016 2200032100032