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13120000300032 = 21034271999961
BaseRepresentation
bin1011111011101011110011…
…1101010001010000000000
31201110021000101020101100020
42332322330331101100000
53204424230034100112
643523124523253440
72522613560333463
oct276727475212000
951407011211306
1013120000300032
1141a918514a27a
12157a8b167a280
13742297c49202
143350234092da
1517b43469b48c
hexbeebcf51400

13120000300032 has 88 divisors (see below), whose sum is σ = 34977806792832. Its totient is φ = 4372305100800.

The previous prime is 13120000300007. The next prime is 13120000300103. The reversal of 13120000300032 is 23000300002131.

13120000300032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13120000299984 and 13120000300020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12620532 + ... + 13620492.

Almost surely, 213120000300032 is an apocalyptic number.

13120000300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120000300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488903396416).

13120000300032 is an abundant number, since it is smaller than the sum of its proper divisors (21857806492800).

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

13120000300032 is an equidigital number, since it uses as much as digits as its factorization.

13120000300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004255 (or 1004237 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13120000300032 its reverse (23000300002131), we get a palindrome (36120300302163).

The spelling of 13120000300032 in words is "thirteen trillion, one hundred twenty billion, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 4271 8542 12813 17084 25626 34168 51252 68336 102504 136672 205008 273344 410016 546688 820032 999961 1093376 1640064 1999922 2186752 2999883 3280128 3999844 4373504 5999766 6560256 7999688 11999532 13120512 15999376 23999064 31998752 47998128 63997504 95996256 127995008 191992512 255990016 383985024 511980032 767970048 1023960064 1535940096 3071880192 4270833431 8541666862 12812500293 17083333724 25625000586 34166667448 51250001172 68333334896 102500002344 136666669792 205000004688 273333339584 410000009376 546666679168 820000018752 1093333358336 1640000037504 2186666716672 3280000075008 4373333433344 6560000150016 13120000300032