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13013212032 = 27333765397
BaseRepresentation
bin11000001111010010…
…11101101110000000
31020120220122122222000
430013221131232000
5203122340241112
65551142144000
7640323322452
oct140751355600
936526578860
1013013212032
115578689897
122632122000
1312c5049582
148b64082d2
155126b17dc
hex307a5db80

13013212032 has 64 divisors (see below), whose sum is σ = 38407059600. Its totient is φ = 4337736192.

The previous prime is 13013212031. The next prime is 13013212063. The reversal of 13013212032 is 23021231031.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 13013211996 and 13013212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013212031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1879243 + ... + 1886154.

Almost surely, 213013212032 is an apocalyptic number.

13013212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13013212032 is an abundant number, since it is smaller than the sum of its proper divisors (25393847568).

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

13013212032 is an equidigital number, since it uses as much as digits as its factorization.

13013212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765420 (or 3765402 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13013212032 its reverse (23021231031), we get a palindrome (36034443063).

The spelling of 13013212032 in words is "thirteen billion, thirteen million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3765397 7530794 11296191 15061588 22592382 30123176 33888573 45184764 60246352 67777146 90369528 101665719 120492704 135554292 180739056 203331438 240985408 271108584 361478112 406662876 481970816 542217168 722956224 813325752 1084434336 1445912448 1626651504 2168868672 3253303008 4337737344 6506606016 13013212032