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200102213322 = 233111931755931
BaseRepresentation
bin1011101001011100000…
…1010111011011001010
3201010111110121122211000
42322113001113123022
511234302131311242
6231531540515430
720312501515014
oct2722701273312
9633443548730
10200102213322
1177954534620
12329459abb76
1315b3c55922b
1499838cb1b4
155312414a4c
hex2e970576ca

200102213322 has 128 divisors (see below), whose sum is σ = 512247628800. Its totient is φ = 57263371200.

The previous prime is 200102213287. The next prime is 200102213329. The reversal of 200102213322 is 223312201002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200102213295 and 200102213304.

It is not an unprimeable number, because it can be changed into a prime (200102213329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3549697 + ... + 3605627.

It is an arithmetic number, because the mean of its divisors is an integer number (4001934600).

Almost surely, 2200102213322 is an apocalyptic number.

200102213322 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 200102213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256123814400).

200102213322 is an abundant number, since it is smaller than the sum of its proper divisors (312145415478).

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

200102213322 is a wasteful number, since it uses less digits than its factorization.

200102213322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56289 (or 56283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200102213322 its reverse (223312201002), we get a palindrome (423414414324).

The spelling of 200102213322 in words is "two hundred billion, one hundred two million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 317 342 418 513 594 627 634 951 1026 1254 1881 1902 2853 3487 3762 5643 5706 6023 6974 8559 10461 11286 12046 17118 18069 20922 31383 36138 54207 55931 62766 66253 94149 108414 111862 132506 162621 167793 188298 198759 325242 335586 397518 503379 596277 615241 1006758 1062689 1192554 1230482 1510137 1788831 1845723 2125378 3020274 3188067 3577662 3691446 5537169 6376134 9564201 11074338 11689579 16611507 17730127 19128402 23379158 28692603 33223014 35068737 35460254 53190381 57385206 70137474 105206211 106380762 159571143 195031397 210412422 315618633 319142286 336872413 390062794 478713429 585094191 631237266 673744826 957426858 1010617239 1170188382 1755282573 2021234478 3031851717 3510565146 3705596543 5265847719 6063703434 7411193086 9095555151 10531695438 11116789629 18191110302 22233579258 33350368887 66700737774 100051106661 200102213322