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212021020002 = 2311173116337397
BaseRepresentation
bin1100010101110101110…
…0000000010101100010
3202021021002221202212110
43011131130000111202
511433204340120002
6241222350140150
721214035635361
oct3053534002542
9667232852773
10212021020002
1181a1037a480
12351114b1656
1316cbb93346c
14a3948117d8
1557ad997e6c
hex315d700562

212021020002 has 128 divisors (see below), whose sum is σ = 508718112768. Its totient is φ = 58158259200.

The previous prime is 212021019997. The next prime is 212021020061. The reversal of 212021020002 is 200020120212.

It is a self number, because there is not a number n which added to its sum of digits gives 212021020002.

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, 5650768 + ... + 5688164.

It is an arithmetic number, because the mean of its divisors is an integer number (3974360256).

Almost surely, 2212021020002 is an apocalyptic number.

212021020002 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 212021020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254359056384).

212021020002 is an abundant number, since it is smaller than the sum of its proper divisors (296697092766).

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

212021020002 is a wasteful number, since it uses less digits than its factorization.

212021020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37624.

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

Adding to 212021020002 its reverse (200020120212), we get a palindrome (412041140214).

The spelling of 212021020002 in words is "two hundred twelve billion, twenty-one million, twenty thousand, two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 163 186 187 326 341 374 489 527 561 682 978 1023 1054 1122 1581 1793 2046 2771 3162 3586 5053 5379 5542 5797 8313 10106 10758 11594 15159 16626 17391 30318 30481 34782 37397 55583 60962 74794 85901 91443 111166 112191 166749 171802 182886 224382 257703 333498 411367 515406 635749 822734 944911 1159307 1234101 1271498 1889822 1907247 2318614 2468202 2834733 3477921 3814494 5669466 6095711 6955842 6993239 12191422 12752377 13986478 18287133 19708219 20979717 25504754 36574266 38257131 39416438 41959434 59124657 67052821 76514262 103627087 118249314 134105642 188967041 201158463 207254174 216790409 310881261 377934082 402316926 433580818 566901123 621762522 650371227 1133802246 1139897957 1300742454 2078637451 2279795914 3212439697 3419693871 4157274902 6235912353 6424879394 6839387742 9637319091 12471824706 19274638182 35336836667 70673673334 106010510001 212021020002