Search a number
-
+
31030222113331 = 7414727710397993
BaseRepresentation
bin1110000111000110010010…
…10111011100101000110011
311001212110102112100121112221
413003203021113130220303
513031344343330111311
6145555030502301511
76351600555021640
oct703431127345063
9131773375317487
1031030222113331
119983930477011
123591a46727897
1314411a2aca48c
14793c29538dc7
1538c2798e0671
hex1c38c95dca33

31030222113331 has 64 divisors (see below), whose sum is σ = 37275441315840. Its totient is φ = 25277317539840.

The previous prime is 31030222113301. The next prime is 31030222113353. The reversal of 31030222113331 is 13331122203013.

It is a cyclic number.

It is not a de Polignac number, because 31030222113331 - 27 = 31030222113203 is a prime.

It is a super-2 number, since 2×310302221133312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31030222113296 and 31030222113305.

It is not an unprimeable number, because it can be changed into a prime (31030222113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3882170671 + ... + 3882178663.

It is an arithmetic number, because the mean of its divisors is an integer number (582428770560).

Almost surely, 231030222113331 is an apocalyptic number.

31030222113331 is a deficient number, since it is larger than the sum of its proper divisors (6245219202509).

31030222113331 is a wasteful number, since it uses less digits than its factorization.

31030222113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9404.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 31030222113331 its reverse (13331122203013), we get a palindrome (44361344316344).

The spelling of 31030222113331 in words is "thirty-one trillion, thirty billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 7 41 47 277 287 329 1039 1927 1939 7273 7993 11357 13019 13489 42599 48833 55951 79499 91133 287803 298193 327713 341831 375671 533779 2002153 2014621 2214061 2293991 2629697 3736453 8304727 11799923 13526741 14015071 15402511 15498427 58133089 82599461 90776501 94687187 104060867 107817577 340493807 390322169 554596381 635435507 728426069 2300409379 2383456649 2732255183 3882174667 4266495547 16003208929 16102865653 29865468829 94316784539 108119240813 112022462503 660217491773 756834685691 4432888873333 31030222113331