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202002121002 = 2311178319311239
BaseRepresentation
bin1011110000100001000…
…0111100000100101010
3201022101212121222012010
42330020100330010222
511302200020333002
6232444250300350
720410541461323
oct2741020740452
9638355558163
10202002121002
1178739a27360
12331961276b6
1316083059a66
149ac3d6d44a
1553c410546c
hex2f0843c12a

202002121002 has 128 divisors (see below), whose sum is σ = 474768967680. Its totient is φ = 56617943040.

The previous prime is 202002120961. The next prime is 202002121031. The reversal of 202002121002 is 200121200202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17967699 + ... + 17978937.

It is an arithmetic number, because the mean of its divisors is an integer number (3709132560).

Almost surely, 2202002121002 is an apocalyptic number.

202002121002 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 202002121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237384483840).

202002121002 is an abundant number, since it is smaller than the sum of its proper divisors (272766846678).

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

202002121002 is a wasteful number, since it uses less digits than its factorization.

202002121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202002121002 its reverse (200121200202), we get a palindrome (402123321204).

The spelling of 202002121002 in words is "two hundred two billion, two million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 83 102 166 187 193 249 374 386 498 561 579 913 1122 1158 1411 1826 2123 2739 2822 3281 4233 4246 5478 6369 6562 8466 9843 11239 12738 15521 16019 19686 22478 31042 32038 33717 36091 46563 48057 67434 72182 93126 96114 108273 123629 176209 191063 216546 247258 272323 352418 370887 382126 528627 544646 573189 741774 816969 932837 1057254 1146378 1633938 1865674 2101693 2169127 2798511 2995553 4203386 4338254 5597022 5991106 6305079 6507381 8986659 10261207 12610158 13014762 15858229 17973318 20522414 23860397 30783621 31716458 36875159 47574687 47720794 61567242 71581191 73750318 95149374 110625477 143162382 174440519 180037541 221250954 348881038 360075082 405626749 523321557 540112623 811253498 1046643114 1080225246 1216880247 1980412951 2433760494 3060638197 3960825902 5941238853 6121276394 9181914591 11882477706 18363829182 33667020167 67334040334 101001060501 202002121002