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131220553212 = 223272326984163
BaseRepresentation
bin111101000110101011…
…0101011110111111100
3110112200222121202212100
41322031112223313330
54122214430200322
6140140515505100
712323524204350
oct1721526536774
9415628552770
10131220553212
11507176438a1
12215215b8190
13c4b2a14178
1464cb629460
1536300addac
hex1e8d5abdfc

131220553212 has 144 divisors (see below), whose sum is σ = 397038620160. Its totient is φ = 35727778944.

The previous prime is 131220553199. The next prime is 131220553231. The reversal of 131220553212 is 212355022131.

131220553212 is a `hidden beast` number, since 1 + 3 + 122 + 0 + 5 + 532 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517043 + ... + 1601205.

It is an arithmetic number, because the mean of its divisors is an integer number (2757212640).

Almost surely, 2131220553212 is an apocalyptic number.

131220553212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131220553212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198519310080).

131220553212 is an abundant number, since it is smaller than the sum of its proper divisors (265818066948).

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

131220553212 is a wasteful number, since it uses less digits than its factorization.

131220553212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84472 (or 84467 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 131220553212 its reverse (212355022131), we get a palindrome (343575575343).

The spelling of 131220553212 in words is "one hundred thirty-one billion, two hundred twenty million, five hundred fifty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 269 276 322 414 483 538 644 807 828 966 1076 1449 1614 1883 1932 2421 2898 3228 3766 4842 5649 5796 6187 7532 9684 11298 12374 16947 18561 22596 24748 33894 37122 43309 55683 67788 74244 84163 86618 111366 129927 168326 173236 222732 252489 259854 336652 389781 504978 519708 589141 757467 779562 1009956 1178282 1514934 1559124 1767423 1935749 2356564 3029868 3534846 3871498 5302269 5807247 7069692 7742996 10604538 11614494 13550243 17421741 21209076 22639847 23228988 27100486 34843482 40650729 45279694 54200972 67919541 69686964 81301458 90559388 121952187 135839082 158478929 162602916 203758623 243904374 271678164 316957858 407517246 475436787 487808748 520716481 633915716 815034492 950873574 1041432962 1426310361 1562149443 1901747148 2082865924 2852620722 3124298886 3645015367 4686448329 5705241444 6248597772 7290030734 9372896658 10935046101 14580061468 18745793316 21870092202 32805138303 43740184404 65610276606 131220553212