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131153132000 = 2553112980753
BaseRepresentation
bin111101000100101010…
…1011111100111100000
3110112112021202102100102
41322021111133213200
54122100200211000
6140130110441532
712322045141142
oct1721125374740
9415467672312
10131153132000
1150692584290
1221502b032a8
13c4a1a69367
1464c26b8c92
1536291e23d5
hex1e8955f9e0

131153132000 has 96 divisors (see below), whose sum is σ = 351538203744. Its totient is φ = 47692032000.

The previous prime is 131153131979. The next prime is 131153132017. The reversal of 131153132000 is 231351131.

It is a super-2 number, since 2×1311531320002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1446377 + ... + 1534376.

It is an arithmetic number, because the mean of its divisors is an integer number (3661856289).

Almost surely, 2131153132000 is an apocalyptic number.

131153132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131153132000 is an abundant number, since it is smaller than the sum of its proper divisors (220385071744).

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

131153132000 is a wasteful number, since it uses less digits than its factorization.

131153132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980789 (or 2980771 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 131153132000 its reverse (231351131), we get a palindrome (131384483131).

The spelling of 131153132000 in words is "one hundred thirty-one billion, one hundred fifty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 2980753 5961506 11923012 14903765 23846024 29807530 32788283 47692048 59615060 65576566 74518825 95384096 119230120 131153132 149037650 163941415 238460240 262306264 298075300 327882830 372594125 476920480 524612528 596150600 655765660 745188250 819707075 1049225056 1192301200 1311531320 1490376500 1639414150 2384602400 2623062640 2980753000 3278828300 4098535375 5246125280 5961506000 6557656600 8197070750 11923012000 13115313200 16394141500 26230626400 32788283000 65576566000 131153132000