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200102021002212 = 223713943393949733
BaseRepresentation
bin101101011111110111100001…
…111000010111001111100100
3222020111120021220010221122220
4231133313201320113033210
5202211432414334032322
61545325333245352340
760101615422446660
oct5537674170271744
9866446256127586
10200102021002212
115883887723030a
121a539141b686b0
1387867026ba304
14375adbd2498a0
1518201a593955c
hexb5fde1e173e4

200102021002212 has 96 divisors (see below), whose sum is σ = 537568276761600. Its totient is φ = 56747600721792.

The previous prime is 200102021002099. The next prime is 200102021002217. The reversal of 200102021002212 is 212200120201002.

It is a junction number, because it is equal to n+sod(n) for n = 200102021002191 and 200102021002200.

It is not an unprimeable number, because it can be changed into a prime (200102021002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48687298 + ... + 52637030.

It is an arithmetic number, because the mean of its divisors is an integer number (5599669549600).

Almost surely, 2200102021002212 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 200102021002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268784138380800).

200102021002212 is an abundant number, since it is smaller than the sum of its proper divisors (337466255759388).

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

200102021002212 is a wasteful number, since it uses less digits than its factorization.

200102021002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954225 (or 3954223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200102021002212 its reverse (212200120201002), we get a palindrome (412302141203214).

The spelling of 200102021002212 in words is "two hundred trillion, one hundred two billion, twenty-one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2919 3892 4339 5838 8678 11676 13017 17356 26034 30373 52068 60746 91119 121492 182238 364476 603121 1206242 1809363 2412484 3618726 3949733 4221847 7237452 7899466 8443694 11849199 12665541 15798932 16887388 23698398 25331082 27648131 47396796 50662164 55296262 82944393 110592524 165888786 331777572 549012887 1098025774 1647038661 2196051548 3294077322 3843090209 6588154644 7686180418 11529270627 15372360836 17137891487 23058541254 34275782974 46117082508 51413674461 68551565948 102827348922 119965240409 205654697844 239930480818 359895721227 479860961636 719791442454 1439582884908 2382166916693 4764333833386 7146500750079 9528667666772 14293001500158 16675168416851 28586003000316 33350336833702 50025505250553 66700673667404 100051010501106 200102021002212