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131005552000 = 275361134227
BaseRepresentation
bin111101000000010001…
…0100001010110000000
3110112011000001120122111
41322000202201112000
54121244410131000
6140103315345104
712315303550561
oct1720042412600
9415130046574
10131005552000
1150617245244
12214815b2194
13c47a306b0b
1464aac60168
15361b28ecba
hex1e808a1580

131005552000 has 128 divisors (see below), whose sum is σ = 331054570080. Its totient is φ = 51542784000.

The previous prime is 131005551979. The next prime is 131005552001. The reversal of 131005552000 is 255500131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131005552001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908887 + ... + 1043113.

Almost surely, 2131005552000 is an apocalyptic number.

131005552000 is a gapful number since it is divisible by the number (10) 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 131005552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165527285040).

131005552000 is an abundant number, since it is smaller than the sum of its proper divisors (200049018080).

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

131005552000 is an equidigital number, since it uses as much as digits as its factorization.

131005552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134317 (or 134295 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 131005552000 in words is "one hundred thirty-one billion, five million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 128 160 200 244 250 305 320 400 488 500 610 640 800 976 1000 1220 1525 1600 1952 2000 2440 3050 3200 3904 4000 4880 6100 7625 7808 8000 9760 12200 15250 16000 19520 24400 30500 39040 48800 61000 97600 122000 134227 195200 244000 268454 488000 536908 671135 976000 1073816 1342270 2147632 2684540 3355675 4295264 5369080 6711350 8187847 8590528 10738160 13422700 16375694 16778375 17181056 21476320 26845400 32751388 33556750 40939235 42952640 53690800 65502776 67113500 81878470 85905280 107381600 131005552 134227000 163756940 204696175 214763200 262011104 268454000 327513880 409392350 429526400 524022208 536908000 655027760 818784700 1023480875 1048044416 1073816000 1310055520 1637569400 2046961750 2147632000 2620111040 3275138800 4093923500 5240222080 6550277600 8187847000 13100555200 16375694000 26201110400 32751388000 65502776000 131005552000