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210002002000 = 2453733614463
BaseRepresentation
bin1100001110010100011…
…0000100000001010000
3202002001101211000211221
43003211012010001100
511420041003031000
6240250143414424
721113021364460
oct3034506040120
9662041730757
10210002002000
118107472335a
12348492b4414
1316a5955a95b
14a242605ba0
1556e15ca61a
hex30e5184050

210002002000 has 160 divisors (see below), whose sum is σ = 580628265984. Its totient is φ = 71963136000.

The previous prime is 210002001977. The next prime is 210002002003. The reversal of 210002002000 is 200200012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47051769 + ... + 47056231.

Almost surely, 2210002002000 is an apocalyptic number.

210002002000 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 210002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290314132992).

210002002000 is an abundant number, since it is smaller than the sum of its proper divisors (370626263984).

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

210002002000 is a wasteful number, since it uses less digits than its factorization.

210002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 210002002000 its reverse (200200012), we get a palindrome (210202202012).

The spelling of 210002002000 in words is "two hundred ten billion, two million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3361 3500 4463 6722 7000 8926 13444 14000 16805 17852 22315 23527 26888 31241 33610 35704 44630 47054 53776 62482 67220 71408 84025 89260 94108 111575 117635 124964 134440 156205 168050 178520 188216 223150 235270 249928 268880 312410 336100 357040 376432 420125 446300 470540 499856 557875 588175 624820 672200 781025 840250 892600 941080 1115750 1176350 1249640 1344400 1562050 1680500 1785200 1882160 2231500 2352700 2499280 2940875 3124100 3361000 3905125 4463000 4705400 5881750 6248200 6722000 7810250 8926000 9410800 11763500 12496400 15000143 15620500 23527000 30000286 31241000 47054000 60000572 62482000 75000715 105001001 120001144 150001430 210002002 240002288 300002860 375003575 420004004 525005005 600005720 750007150 840008008 1050010010 1200011440 1500014300 1680016016 1875017875 2100020020 2625025025 3000028600 3750035750 4200040040 5250050050 6000057200 7500071500 8400080080 10500100100 13125125125 15000143000 21000200200 26250250250 30000286000 42000400400 52500500500 105001001000 210002002000