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10001002221111 = 3113971627469193
BaseRepresentation
bin1001000110001000101000…
…1011110100111000110111
31022102002100001002100201210
42101202022023310320313
52302324023032033421
633134221430052503
72051356105155606
oct221421213647067
938362301070653
1010001002221111
113206446034630
1211563174aa133
13577123992675
142680a0297a3d
15125237e12576
hex9188a2f4e37

10001002221111 has 32 divisors (see below), whose sum is σ = 14592548982528. Its totient is φ = 6042217040640.

The previous prime is 10001002221101. The next prime is 10001002221127. The reversal of 10001002221111 is 11112220010001.

It is not a de Polignac number, because 10001002221111 - 215 = 10001002188343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001002221101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21080731 + ... + 21549923.

It is an arithmetic number, because the mean of its divisors is an integer number (456017155704).

Almost surely, 210001002221111 is an apocalyptic number.

10001002221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001002221111 is a deficient number, since it is larger than the sum of its proper divisors (4591546761417).

10001002221111 is a wasteful number, since it uses less digits than its factorization.

10001002221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471231.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001002221111 its reverse (11112220010001), we get a palindrome (21113222231112).

The spelling of 10001002221111 in words is "ten trillion, one billion, two million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 11 33 397 1191 1627 4367 4881 13101 17897 53691 469193 645919 1407579 1937757 5161123 7105109 15483369 21315327 186269621 558808863 763377011 2048965831 2290131033 6146897493 8397147121 25191441363 303060673367 909182020101 3333667407037 10001002221111