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11001002022101 = 7213317326329017
BaseRepresentation
bin1010000000010101111011…
…0100010101010011010101
31102221200111202010200020002
42200011132310111103111
52420220023004201401
635221442432221045
72213540041215500
oct240053664252325
942850452120202
1011001002022101
113561553933a53
12129809939a785
1361a50bbbb740
142a064668c137
15141264639a6b
hexa015ed154d5

11001002022101 has 96 divisors (see below), whose sum is σ = 14476247267328. Its totient is φ = 8276050298880.

The previous prime is 11001002022097. The next prime is 11001002022139. The reversal of 11001002022101 is 10122020010011.

It is not a de Polignac number, because 11001002022101 - 22 = 11001002022097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001002022301) 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, 379108145 + ... + 379137161.

It is an arithmetic number, because the mean of its divisors is an integer number (150794242368).

Almost surely, 211001002022101 is an apocalyptic number.

It is an amenable number.

11001002022101 is a deficient number, since it is larger than the sum of its proper divisors (3475245245227).

11001002022101 is a wasteful number, since it uses less digits than its factorization.

11001002022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29411 (or 29404 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11001002022101 its reverse (10122020010011), we get a palindrome (21123022032112).

The spelling of 11001002022101 in words is "eleven trillion, one billion, two million, twenty-two thousand, one hundred one".

Divisors: 1 7 13 31 49 73 91 217 263 403 511 637 949 1519 1841 2263 2821 3419 3577 6643 8153 12887 15841 19199 19747 23933 29017 29419 46501 57071 105989 110887 134393 167531 203119 205933 249587 377221 399497 595169 741923 899527 940751 1421833 1441531 1747109 2118241 2640547 4166183 5193461 6296689 7631471 7737197 11693851 12229763 14827687 18483829 27537133 29163281 44076823 53420297 54160379 65665471 81856957 99209123 103793809 192759931 236575601 373942079 379122653 459658297 557097383 572998699 694463861 853651123 1349319517 1656029207 3075482813 3217608079 3899681681 4861247027 5975557861 7242265979 11592204449 17270018873 21528379691 27297771767 41828905027 50695861853 120890132111 150698657837 224510245349 354871032971 846230924777 1571571717443 11001002022101