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10132041132 = 2232733855419
BaseRepresentation
bin10010110111110101…
…01010110110101100
3222011010020000111200
421123322222312230
5131222300304012
64353220445500
7506036633343
oct113372526654
928133200450
1010132041132
11432a300514
121b69249890
13c5616c015
146c18d4b5a
153e47913dc
hex25beaadac

10132041132 has 36 divisors (see below), whose sum is σ = 25962398280. Its totient is φ = 3331081152.

The previous prime is 10132041131. The next prime is 10132041133. The reversal of 10132041132 is 23114023101.

It is an interprime number because it is at equal distance from previous prime (10132041131) and next prime (10132041133).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10132041131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1925082 + ... + 1930337.

It is an arithmetic number, because the mean of its divisors is an integer number (721177730).

Almost surely, 210132041132 is an apocalyptic number.

10132041132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132041132 is an abundant number, since it is smaller than the sum of its proper divisors (15830357148).

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

10132041132 is a wasteful number, since it uses less digits than its factorization.

10132041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855502 (or 3855497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132041132 its reverse (23114023101), we get a palindrome (33246064233).

The spelling of 10132041132 in words is "ten billion, one hundred thirty-two million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 3855419 7710838 11566257 15421676 23132514 34698771 46265028 69397542 138795084 281445587 562891174 844336761 1125782348 1688673522 2533010283 3377347044 5066020566 10132041132