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10031331222 = 2331130755009
BaseRepresentation
bin10010101011110100…
…11111011110010110
3221220002201102111000
421111322133132112
5131021010044342
64335222124130
7503404623423
oct112572373626
927802642430
1010031331222
114288474690
121b3b580646
13c3b33a363
146b239ad4a
153da9eb44c
hex255e9f796

10031331222 has 64 divisors (see below), whose sum is σ = 24398035200. Its totient is φ = 3029840640.

The previous prime is 10031331209. The next prime is 10031331227. The reversal of 10031331222 is 22213313001.

10031331222 is a `hidden beast` number, since 100 + 313 + 31 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10031331195 and 10031331204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031331227) 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, 154854 + ... + 209862.

It is an arithmetic number, because the mean of its divisors is an integer number (381219300).

Almost surely, 210031331222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031331222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199017600).

10031331222 is an abundant number, since it is smaller than the sum of its proper divisors (14366703978).

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

10031331222 is a wasteful number, since it uses less digits than its factorization.

10031331222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55338 (or 55332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031331222 its reverse (22213313001), we get a palindrome (32244644223).

The spelling of 10031331222 in words is "ten billion, thirty-one million, three hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 307 594 614 921 1842 2763 3377 5526 6754 8289 10131 16578 20262 30393 55009 60786 91179 110018 165027 182358 330054 495081 605099 990162 1210198 1485243 1815297 2970486 3630594 5445891 10891782 16337673 16887763 32675346 33775526 50663289 101326578 151989867 185765393 303979734 371530786 455969601 557296179 911939202 1114592358 1671888537 3343777074 5015665611 10031331222