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110021321221031 = 111091316017191621
BaseRepresentation
bin11001000001000001010101…
…110001001110001110100111
3112102112221021001012000220002
4121001001111301032032213
5103410042131213033111
61025555032555331515
732113530622100033
oct3101012561161647
9472487231160802
10110021321221031
1132068864641120
121040aa51a50b9b
134950c7360418c
141d250bb8ad1c3
15cabd9146163b
hex641055c4e3a7

110021321221031 has 64 divisors (see below), whose sum is σ = 122497633843200. Its totient is φ = 97984598400000.

The previous prime is 110021321221001. The next prime is 110021321221087. The reversal of 110021321221031 is 130122123120011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110021321221031 is a prime.

It is a super-2 number, since 2×1100213212210312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110021321220994 and 110021321221012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021321221001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67872498401 + ... + 67872500021.

It is an arithmetic number, because the mean of its divisors is an integer number (1914025528800).

Almost surely, 2110021321221031 is an apocalyptic number.

110021321221031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110021321221031 is a deficient number, since it is larger than the sum of its proper divisors (12476312622169).

110021321221031 is a wasteful number, since it uses less digits than its factorization.

110021321221031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 110021321221031 its reverse (130122123120011), we get a palindrome (240143444341042).

The spelling of 110021321221031 in words is "one hundred ten trillion, twenty-one billion, three hundred twenty-one million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 11 109 131 601 719 1199 1441 1621 6611 7909 14279 17831 65509 78371 78731 94189 157069 176689 212351 432119 720599 862081 866041 974221 1036079 1165499 1943579 2335861 4753309 8581679 10266601 10716431 12820489 23146259 47100971 56607589 94398469 106190089 112932611 127039391 127622951 152680369 254608849 518110681 622683479 700464899 1168090979 1397433301 1403852461 1679484059 6170227201 7705113889 13910901659 16642160221 67872499211 76350673991 91760901769 153019918249 183063762431 839857413901 1009369919459 10001938292821 110021321221031