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10211021200002 = 23737101109596857
BaseRepresentation
bin1001010010010111000001…
…0010101001101010000010
31100011011102121211220111110
42110211300102221222002
52314244132411400002
633414513421424150
72102502424061610
oct224456022515202
940134377756443
1010211021200002
1132875192a2977
12118ab6a40b056
13590b838b56cc
14274304c3c6b0
1512a92ac42e6c
hex949704a9a82

10211021200002 has 128 divisors (see below), whose sum is σ = 24429732180480. Its totient is φ = 2784691353600.

The previous prime is 10211021199979. The next prime is 10211021200021. The reversal of 10211021200002 is 20000212011201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16809558 + ... + 17406414.

It is an arithmetic number, because the mean of its divisors is an integer number (190857282660).

Almost surely, 210211021200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211021200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214866090240).

10211021200002 is an abundant number, since it is smaller than the sum of its proper divisors (14218710980478).

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

10211021200002 is a wasteful number, since it uses less digits than its factorization.

10211021200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597116.

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

Adding to 10211021200002 its reverse (20000212011201), we get a palindrome (30211233211203).

The spelling of 10211021200002 in words is "ten trillion, two hundred eleven billion, twenty-one million, two hundred thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 74 101 109 111 202 218 222 259 303 327 518 606 654 707 763 777 1414 1526 1554 2121 2289 3737 4033 4242 4578 7474 8066 11009 11211 12099 22018 22422 24198 26159 28231 33027 52318 56462 66054 77063 78477 84693 154126 156954 169386 231189 407333 462378 596857 814666 1193714 1221999 1790571 2443998 2851331 3581142 4177999 5702662 8355998 8553993 12533997 17107986 22083709 25067994 44167418 60282557 65057413 66251127 120565114 130114826 132502254 154585963 180847671 195172239 309171926 361695342 390344478 421977899 455401891 463757889 843955798 910803782 927515778 1265933697 1366205673 2230454609 2407124281 2531867394 2732411346 4460909218 4814248562 6570798713 6691363827 7221372843 13141597426 13382727654 14442745686 15613182263 16849869967 19712396139 31226364526 33699739934 39424792278 45995590991 46839546789 50549609901 91991181982 93679093578 101099219802 137986772973 243119552381 275973545946 486239104762 729358657143 1458717314286 1701836866667 3403673733334 5105510600001 10211021200002