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100022210012211 = 31722937831295387
BaseRepresentation
bin10110101111100000111100…
…010011000010010000110011
3111010011000210210101001100120
4112233200330103002100303
5101102230441230342321
6552421322520221323
730032236415135364
oct2657407423022063
9433130723331316
10100022210012211
11299631a9a84073
12b274b8390a843
1343a70916494c6
141a9b15a81db6b
15b86c19583ec6
hex5af83c4c2433

100022210012211 has 96 divisors (see below), whose sum is σ = 152328923792640. Its totient is φ = 58246855317504.

The previous prime is 100022210012191. The next prime is 100022210012267. The reversal of 100022210012211 is 112210012220001.

It is not a de Polignac number, because 100022210012211 - 242 = 95624163501107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100022210062211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76566460 + ... + 77861846.

It is an arithmetic number, because the mean of its divisors is an integer number (1586759622840).

Almost surely, 2100022210012211 is an apocalyptic number.

100022210012211 is a deficient number, since it is larger than the sum of its proper divisors (52306713780429).

100022210012211 is a wasteful number, since it uses less digits than its factorization.

100022210012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295573 (or 1295556 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100022210012211 its reverse (112210012220001), we get a palindrome (212232222232212).

The spelling of 100022210012211 in words is "one hundred trillion, twenty-two billion, two hundred ten million, twelve thousand, two hundred eleven".

Divisors: 1 3 17 29 37 51 83 87 111 249 289 493 629 867 1073 1411 1479 1887 2407 3071 3219 4233 7221 8381 9213 10693 18241 23987 25143 32079 40919 52207 54723 71961 89059 122757 156621 267177 310097 695623 887519 930291 1295387 1514003 2086869 2662557 3886161 4542009 22021579 25738051 37566223 47929319 66064737 77214153 107517121 112698669 143787957 322551363 374366843 638625791 814798423 1123100529 1389950251 1827791057 1915877373 2444395269 3117996509 3978133477 4169850753 5483373171 9353989527 10856638447 11934400431 13851573191 23629154267 31072447969 32569915341 41554719573 53005940653 67628269109 70887462801 93217343907 115365870833 159017821959 202884807327 346097612499 401695622539 901100991101 1149680574853 1205086867617 1961219804161 2703302973303 3449041724559 5883659412483 33340736670737 100022210012211