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210120010000 = 245430768443
BaseRepresentation
bin1100001110110000100…
…0001110100100010000
3202002100121212110101121
43003230020032210100
511420311210310000
6240310001012024
721115653421225
oct3035410164420
9662317773347
10210120010000
11811252a452a
1234880924014
1316a77b37c84
14a25416394c
1556ebb3ab1a
hex30ec20e910

210120010000 has 100 divisors (see below), whose sum is σ = 510386086672. Its totient is φ = 83773008000.

The previous prime is 210120009989. The next prime is 210120010003. The reversal of 210120010000 is 10021012.

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

It is not an unprimeable number, because it can be changed into a prime (210120010003) 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, 3035779 + ... + 3104221.

Almost surely, 2210120010000 is an apocalyptic number.

210120010000 is a gapful number since it is divisible by the number (20) 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 210120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255193043336).

210120010000 is an abundant number, since it is smaller than the sum of its proper divisors (300266076672).

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

210120010000 is an equidigital number, since it uses as much as digits as its factorization.

210120010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68778 (or 68757 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 210120010000 its reverse (10021012), we get a palindrome (210130031012).

The spelling of 210120010000 in words is "two hundred ten billion, one hundred twenty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 307 400 500 614 625 1000 1228 1250 1535 2000 2456 2500 3070 4912 5000 6140 7675 10000 12280 15350 24560 30700 38375 61400 68443 76750 122800 136886 153500 191875 273772 307000 342215 383750 547544 614000 684430 767500 1095088 1368860 1535000 1711075 2737720 3070000 3422150 5475440 6844300 8555375 13688600 17110750 21012001 27377200 34221500 42024002 42776875 68443000 84048004 85553750 105060005 136886000 168096008 171107500 210120010 336192016 342215000 420240020 525300025 684430000 840480040 1050600050 1680960080 2101200100 2626500125 4202400200 5253000250 8404800400 10506000500 13132500625 21012001000 26265001250 42024002000 52530002500 105060005000 210120010000