Search a number
-
+
131153321040150 = 235226331158718211
BaseRepresentation
bin11101110100100010000011…
…000111001001100100010110
3122012101010122110000112202110
4131310202003013021210112
5114142304000141241100
61142535000502251450
736424341362614533
oct3564420307114426
9565333573015673
10131153321040150
11388758a1626952
1212862485a26b86
13582492216b196
142455bd708bd8a
1510268eb24b250
hex7748831c9916

131153321040150 has 192 divisors, whose sum is σ = 328122814795776. Its totient is φ = 34668139728000.

The previous prime is 131153321040143. The next prime is 131153321040173. The reversal of 131153321040150 is 51040123351131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7201864545 + ... + 7201882755.

It is an arithmetic number, because the mean of its divisors is an integer number (1708972993728).

Almost surely, 2131153321040150 is an apocalyptic number.

131153321040150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131153321040150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164061407397888).

131153321040150 is an abundant number, since it is smaller than the sum of its proper divisors (196969493755626).

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

131153321040150 is a wasteful number, since it uses less digits than its factorization.

131153321040150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19387 (or 19382 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 131153321040150 its reverse (51040123351131), we get a palindrome (182193444391281).

The spelling of 131153321040150 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, three hundred twenty-one million, forty thousand, one hundred fifty".