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31220222202213 = 31137101253162253
BaseRepresentation
bin1110001100101000001100…
…10000010001000101100101
311002112121211222001011211220
413012110012100101011211
513043003003340432323
6150222212211450553
76401405132104062
oct706240620210545
9132477758034756
1031220222202213
119a47470583a60
1236028312b6a59
131456092460785
1479d0d14bbc69
15392199ec30e3
hex1c6506411165

31220222202213 has 32 divisors (see below), whose sum is σ = 47100331032192. Its totient is φ = 18227682144000.

The previous prime is 31220222202193. The next prime is 31220222202233.

31220222202213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31220222202193) and next prime (31220222202233).

It is not a de Polignac number, because 31220222202213 - 28 = 31220222201957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220222202233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126457806 + ... + 126704447.

It is an arithmetic number, because the mean of its divisors is an integer number (1471885344756).

Almost surely, 231220222202213 is an apocalyptic number.

31220222202213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31220222202213 is a deficient number, since it is larger than the sum of its proper divisors (15880108829979).

31220222202213 is a wasteful number, since it uses less digits than its factorization.

31220222202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253162405.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 3122022 and 2202213, that added together give a palindrome (5324235).

The spelling of 31220222202213 in words is "thirty-one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred two thousand, two hundred thirteen".

Divisors: 1 3 11 33 37 101 111 303 407 1111 1221 3333 3737 11211 41107 123321 253162253 759486759 2784784783 8354354349 9367003361 25569387553 28101010083 76708162659 103037036971 281263263083 309111110913 843789789249 946067339461 2838202018383 10406740734071 31220222202213