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131212213132 = 22721113327701
BaseRepresentation
bin111101000110011011…
…0110111101110001100
3110112200101221001102111
41322030312313232030
54122210311310012
6140140021033404
712323363260300
oct1721466675614
9415611831374
10131212213132
1150712967870
122151a855864
13c4b1084000
1464ca497d00
15362e4b2ba7
hex1e8cdb7b8c

131212213132 has 144 divisors (see below), whose sum is σ = 315676478880. Its totient is φ = 47187504000.

The previous prime is 131212213091. The next prime is 131212213133. The reversal of 131212213132 is 231312212131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (131212213133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4722882 + ... + 4750582.

It is an arithmetic number, because the mean of its divisors is an integer number (2192197770).

Almost surely, 2131212213132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157838239440).

131212213132 is an abundant number, since it is smaller than the sum of its proper divisors (184464265748).

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

131212213132 is a wasteful number, since it uses less digits than its factorization.

131212213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27769 (or 27734 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 131212213132 its reverse (231312212131), we get a palindrome (362524425263).

The spelling of 131212213132 in words is "one hundred thirty-one billion, two hundred twelve million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 169 182 196 286 308 338 364 539 572 637 676 1001 1078 1183 1274 1859 2002 2156 2197 2366 2548 3718 4004 4394 4732 7007 7436 8281 8788 13013 14014 15379 16562 24167 26026 27701 28028 30758 33124 48334 52052 55402 61516 91091 96668 107653 110804 169169 182182 193907 215306 304711 338338 360113 364364 387814 430612 609422 676676 720226 775628 1184183 1218844 1357349 1440452 2132977 2368366 2520791 2714698 3961243 4265954 4681469 4736732 5041582 5429396 7922486 8531908 9362938 10083164 14930839 15844972 17645537 18725876 27728701 29861678 32770283 35291074 51496159 55457402 59723356 60859097 65540566 70582148 102992318 110914804 121718194 131081132 194100907 205984636 229391981 243436388 360473113 388201814 426013679 458783962 669450067 720946226 776403628 852027358 917567924 1338900134 1441892452 1704054716 2523311791 2677800268 2982095753 4686150469 5046623582 5964191506 9372300938 10093247164 11928383012 18744601876 32803053283 65606106566 131212213132