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13402103020000 = 25545031332217
BaseRepresentation
bin1100001100000110101110…
…0101101111100111100000
31202110020011121021101100221
43003001223211233213200
53224040001333120000
644300501403452424
72552161415025142
oct303015345574740
952406147241327
1013402103020000
1142a7888843152
121605501227114
13762a74c01096
1434494561cc92
151839459e261a
hexc306b96f9e0

13402103020000 has 120 divisors (see below), whose sum is σ = 33036757616016. Its totient is φ = 5350179456000.

The previous prime is 13402103019967. The next prime is 13402103020003. The reversal of 13402103020000 is 2030120431.

It is a happy number.

13402103020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402103020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9393892 + ... + 10726108.

Almost surely, 213402103020000 is an apocalyptic number.

13402103020000 is a gapful number since it is divisible by the number (10) 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 13402103020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518378808008).

13402103020000 is an abundant number, since it is smaller than the sum of its proper divisors (19634654596016).

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

13402103020000 is an equidigital number, since it uses as much as digits as its factorization.

13402103020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332750 (or 1332727 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13402103020000 its reverse (2030120431), we get a palindrome (13404133140431).

The spelling of 13402103020000 in words is "thirteen trillion, four hundred two billion, one hundred three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 503 625 800 1000 1006 1250 2000 2012 2500 2515 4000 4024 5000 5030 8048 10000 10060 12575 16096 20000 20120 25150 40240 50300 62875 80480 100600 125750 201200 251500 314375 402400 503000 628750 1006000 1257500 1332217 2012000 2515000 2664434 5030000 5328868 6661085 10060000 10657736 13322170 21315472 26644340 33305425 42630944 53288680 66610850 106577360 133221700 166527125 213154720 266443400 333054250 532886800 666108500 670105151 832635625 1065773600 1332217000 1340210302 1665271250 2664434000 2680420604 3330542500 3350525755 5328868000 5360841208 6661085000 6701051510 10721682416 13322170000 13402103020 16752628775 21443364832 26644340000 26804206040 33505257550 53608412080 67010515100 83763143875 107216824160 134021030200 167526287750 268042060400 335052575500 418815719375 536084120800 670105151000 837631438750 1340210302000 1675262877500 2680420604000 3350525755000 6701051510000 13402103020000