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131801938641 = 33191731485109
BaseRepresentation
bin111101011000000000…
…0011111101011010001
3110121012111121012202000
41322300000133223101
54124412244014031
6140314324544213
712344113664532
oct1726000375321
9417174535660
10131801938641
115099583831a
1221664252069
13c5762c3109
146544928689
1536661513e6
hex1eb001fad1

131801938641 has 32 divisors (see below), whose sum is σ = 206727312000. Its totient is φ = 82762098624.

The previous prime is 131801938613. The next prime is 131801938687. The reversal of 131801938641 is 146839108131.

It is not a de Polignac number, because 131801938641 - 26 = 131801938577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131801938141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653806 + ... + 831303.

It is an arithmetic number, because the mean of its divisors is an integer number (6460228500).

Almost surely, 2131801938641 is an apocalyptic number.

It is an amenable number.

131801938641 is a deficient number, since it is larger than the sum of its proper divisors (74925373359).

131801938641 is a wasteful number, since it uses less digits than its factorization.

131801938641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485310 (or 1485304 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 131801938641 in words is "one hundred thirty-one billion, eight hundred one million, nine hundred thirty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 19 27 57 171 173 513 519 1557 3287 4671 9861 29583 88749 1485109 4455327 13365981 28217071 40097943 84651213 253953639 256923857 761860917 770771571 2312314713 4881553283 6936944139 14644659849 43933979547 131801938641