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2100120010000 = 2454227925163
BaseRepresentation
bin11110100011111000111…
…010000011110100010000
321102202202222022022222121
4132203320322003310100
5233402021210310000
64244440512144024
7304504634355655
oct36437072036420
97382688268877
102100120010000
1173a723aa5201
1229b025b38014
1312306aba243c
147390982dc2c
1539967a20b1a
hex1e8f8e83d10

2100120010000 has 100 divisors (see below), whose sum is σ = 5107005197712. Its totient is φ = 836346448000.

The previous prime is 2100120009989. The next prime is 2100120010061. The reversal of 2100120010000 is 100210012.

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

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, 1807419 + ... + 2732581.

Almost surely, 22100120010000 is an apocalyptic number.

2100120010000 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 2100120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553502598856).

2100120010000 is an abundant number, since it is smaller than the sum of its proper divisors (3006885187712).

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

2100120010000 is an equidigital number, since it uses as much as digits as its factorization.

2100120010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925418 (or 925397 counting only the distinct ones).

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

Adding to 2100120010000 its reverse (100210012), we get a palindrome (2100220220012).

The spelling of 2100120010000 in words is "two trillion, one hundred billion, one hundred twenty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 227 250 400 454 500 625 908 1000 1135 1250 1816 2000 2270 2500 3632 4540 5000 5675 9080 10000 11350 18160 22700 28375 45400 56750 90800 113500 141875 227000 283750 454000 567500 925163 1135000 1850326 2270000 3700652 4625815 7401304 9251630 14802608 18503260 23129075 37006520 46258150 74013040 92516300 115645375 185032600 210012001 231290750 370065200 420024002 462581500 578226875 840048004 925163000 1050060005 1156453750 1680096008 1850326000 2100120010 2312907500 3360192016 4200240020 4625815000 5250300025 8400480040 9251630000 10500600050 16800960080 21001200100 26251500125 42002400200 52503000250 84004800400 105006000500 131257500625 210012001000 262515001250 420024002000 525030002500 1050060005000 2100120010000