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200211112002 = 231159431119293
BaseRepresentation
bin1011101001110110000…
…0110010000001000010
3201010210001112021201110
42322131200302001002
511240013021041002
6231550430544150
720315263241616
oct2723540620102
9633701467643
10200211112002
11779aaa53830
1232976368056
1315b58c97215
149994157346
15531bc75e6c
hex2e9d832042

200211112002 has 64 divisors (see below), whose sum is σ = 445262469120. Its totient is φ = 59502849600.

The previous prime is 200211112001. The next prime is 200211112033.

200211112002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (200211112001) 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, 1618668 + ... + 1737960.

It is an arithmetic number, because the mean of its divisors is an integer number (6957226080).

Almost surely, 2200211112002 is an apocalyptic number.

200211112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200211112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222631234560).

200211112002 is an abundant number, since it is smaller than the sum of its proper divisors (245051357118).

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

200211112002 is a wasteful number, since it uses less digits than its factorization.

200211112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119799.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 200211 and 112002, that added together give a palindrome (312213).

The spelling of 200211112002 in words is "two hundred billion, two hundred eleven million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 431 649 862 1293 1298 1947 2586 3894 4741 9482 14223 25429 28446 50858 76287 119293 152574 238586 279719 357879 559438 715758 839157 1312223 1678314 2624446 3936669 7038287 7873338 14076574 21114861 42229722 51415283 77421157 102830566 154245849 154842314 232263471 308491698 464526942 565568113 1131136226 1696704339 3033501697 3393408678 6067003394 9100505091 18201010182 33368518667 66737037334 100105556001 200211112002