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31224212040032 = 2511176178456969
BaseRepresentation
bin1110001100101111101000…
…00100010010100101100000
311002120000011000121221101222
413012113310010102211200
513043034141240240112
6150224112135514212
76401606040134234
oct706276404224540
9132500130557358
1031224212040032
119a49128757190
123603565528968
131456579c3485b
1479d38d3485c4
153923303dc372
hex1c65f4112960

31224212040032 has 96 divisors (see below), whose sum is σ = 71120952715680. Its totient is φ = 13336300257280.

The previous prime is 31224212040019. The next prime is 31224212040067. The reversal of 31224212040032 is 23004021242213.

It is a super-2 number, since 2×312242120400322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31224212039983 and 31224212040010.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 536357 + ... + 7920612.

It is an arithmetic number, because the mean of its divisors is an integer number (740843257455).

Almost surely, 231224212040032 is an apocalyptic number.

31224212040032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31224212040032 is an abundant number, since it is smaller than the sum of its proper divisors (39896740675648).

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

31224212040032 is a wasteful number, since it uses less digits than its factorization.

31224212040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457624 (or 8457616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 31224212040032 its reverse (23004021242213), we get a palindrome (54228233282245).

The spelling of 31224212040032 in words is "thirty-one trillion, two hundred twenty-four billion, two hundred twelve million, forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 617 748 1234 1496 2468 2992 4936 5984 6787 9872 10489 13574 19744 20978 27148 41956 54296 83912 108592 115379 167824 217184 230758 335648 461516 923032 1846064 3692128 8456969 16913938 33827876 67655752 93026659 135311504 143768473 186053318 270623008 287536946 372106636 575073892 744213272 1150147784 1488426544 1581453203 2300295568 2976853088 3162906406 4600591136 5217949873 6325812812 10435899746 12651625624 20871799492 25303251248 41743598984 50606502496 57397448603 83487197968 88705147841 114794897206 166974395936 177410295682 229589794412 354820591364 459179588824 709641182728 918359177648 975756626251 1419282365456 1836718355296 1951513252502 2838564730912 3903026505004 7806053010008 15612106020016 31224212040032