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31123201122 = 232131301102233
BaseRepresentation
bin11100111111000101…
…100101110001100010
32222100000210102122200
4130333011211301202
51002220014413442
622144154114030
72151155562456
oct347705456142
988300712580
1031123201122
1112221265722
12604711b916
132c1ccaa250
1417136a6666
15c2254434c
hex73f165c62

31123201122 has 48 divisors (see below), whose sum is σ = 72677332728. Its totient is φ = 9568915200.

The previous prime is 31123201117. The next prime is 31123201139. The reversal of 31123201122 is 22110232113.

31123201122 is a `hidden beast` number, since 311 + 2 + 320 + 11 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9648936441 + 21474264681 = 98229^2 + 146541^2 .

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 = 31123201095 and 31123201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253318 + ... + 355550.

Almost surely, 231123201122 is an apocalyptic number.

31123201122 is an abundant number, since it is smaller than the sum of its proper divisors (41554131606).

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

31123201122 is a wasteful number, since it uses less digits than its factorization.

31123201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103555 (or 103552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31123201122 its reverse (22110232113), we get a palindrome (53233433235).

The spelling of 31123201122 in words is "thirty-one billion, one hundred twenty-three million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1301 2602 3903 7806 11709 16913 23418 33826 50739 101478 102233 152217 204466 304434 306699 613398 920097 1329029 1840194 2658058 3987087 7974174 11961261 23922522 133005133 266010266 399015399 798030798 1197046197 1729066729 2394092394 3458133458 5187200187 10374400374 15561600561 31123201122