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2100323210100 = 2235214831472057
BaseRepresentation
bin11110100100000101000…
…001001101001101110100
321102210022010122222010020
4132210011001031031310
5233402430220210400
64244513011325140
7304512652502043
oct36440501151564
97383263588106
102100323210100
1173a818773475
1229b081bb07b0
131230a100a19b
147392880655a
153997a7ad2a0
hex1e90504d374

2100323210100 has 72 divisors (see below), whose sum is σ = 6077357774208. Its totient is φ = 560047238400.

The previous prime is 2100323209991. The next prime is 2100323210113. The reversal of 2100323210100 is 10123230012.

It is a super-2 number, since 2×21003232101002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100323210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4213272 + ... + 4685328.

It is an arithmetic number, because the mean of its divisors is an integer number (84407746864).

Almost surely, 22100323210100 is an apocalyptic number.

2100323210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100323210100 is an abundant number, since it is smaller than the sum of its proper divisors (3977034564108).

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

2100323210100 is a wasteful number, since it uses less digits than its factorization.

2100323210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486905 (or 486898 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2100323210100 its reverse (10123230012), we get a palindrome (2110446440112).

The spelling of 2100323210100 in words is "two trillion, one hundred billion, three hundred twenty-three million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 14831 29662 44493 59324 74155 88986 148310 177972 222465 296620 370775 444930 472057 741550 889860 944114 1112325 1416171 1483100 1888228 2224650 2360285 2832342 4449300 4720570 5664684 7080855 9441140 11801425 14161710 23602850 28323420 35404275 47205700 70808550 141617100 7001077367 14002154734 21003232101 28004309468 35005386835 42006464202 70010773670 84012928404 105016160505 140021547340 175026934175 210032321010 350053868350 420064642020 525080802525 700107736700 1050161605050 2100323210100