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130101010000 = 2454131000777
BaseRepresentation
bin111100100101010011…
…1111101111001010000
3110102210222000002021221
41321022213331321100
54112421324310000
6135433444054424
712254011224103
oct1711247757120
9412728002257
10130101010000
11501a26a0475
122126a694414
13c364aacc70
146422a8073a
1535b6b6761a
hex1e4a9fde50

130101010000 has 100 divisors (see below), whose sum is σ = 339217706212. Its totient is φ = 48037248000.

The previous prime is 130101009991. The next prime is 130101010031. The reversal of 130101010000 is 10101031.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 100000147984 + 30100862016 = 316228^2 + 173496^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 370389 + ... + 630388.

Almost surely, 2130101010000 is an apocalyptic number.

130101010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130101010000 is an abundant number, since it is smaller than the sum of its proper divisors (209116696212).

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

130101010000 is a wasteful number, since it uses less digits than its factorization.

130101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000818 (or 1000797 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 130101010000 its reverse (10101031), we get a palindrome (130111111031).

The spelling of 130101010000 in words is "one hundred thirty billion, one hundred one million, ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 1000777 2001554 4003108 5003885 8006216 10007770 13010101 16012432 20015540 25019425 26020202 40031080 50038850 52040404 65050505 80062160 100077700 104080808 125097125 130101010 200155400 208161616 250194250 260202020 325252525 400310800 500388500 520404040 625485625 650505050 1000777000 1040808080 1250971250 1301010100 1626262625 2001554000 2501942500 2602020200 3252525250 5003885000 5204040400 6505050500 8131313125 10007770000 13010101000 16262626250 26020202000 32525252500 65050505000 130101010000