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2100122002000 = 245311103926797
BaseRepresentation
bin11110100011111001000…
…001101010001001010000
321102202210010001112111101
4132203321001222021100
5233402022213031000
64244441022554144
7304504660323361
oct36437101521120
97382703045441
102100122002000
1173a725135890
1229b026738954
1312306b41c039
1473909bcbb68
1539967cb5e6a
hex1e8f906a250

2100122002000 has 160 divisors (see below), whose sum is σ = 5593529919744. Its totient is φ = 756265536000.

The previous prime is 2100122001983. The next prime is 2100122002007. The reversal of 2100122002000 is 2002210012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100122002007) 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, 1802602 + ... + 2729398.

Almost surely, 22100122002000 is an apocalyptic number.

2100122002000 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 2100122002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796764959872).

2100122002000 is an abundant number, since it is smaller than the sum of its proper divisors (3493407917744).

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

2100122002000 is a wasteful number, since it uses less digits than its factorization.

2100122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926934 (or 926918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2100122002000 its reverse (2002210012), we get a palindrome (2102124212012).

The spelling of 2100122002000 in words is "two trillion, one hundred billion, one hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 103 110 125 176 200 206 220 250 275 400 412 440 500 515 550 824 880 1000 1030 1100 1133 1375 1648 2000 2060 2200 2266 2575 2750 4120 4400 4532 5150 5500 5665 8240 9064 10300 11000 11330 12875 18128 20600 22000 22660 25750 28325 41200 45320 51500 56650 90640 103000 113300 141625 206000 226600 283250 453200 566500 926797 1133000 1853594 2266000 3707188 4633985 7414376 9267970 10194767 14828752 18535940 20389534 23169925 37071880 40779068 46339850 50973835 74143760 81558136 92679700 95460091 101947670 115849625 163116272 185359400 190920182 203895340 231699250 254869175 370718800 381840364 407790680 463398500 477300455 509738350 763680728 815581360 926797000 954600910 1019476700 1050061001 1274345875 1527361456 1853594000 1909201820 2038953400 2100122002 2386502275 2548691750 3818403640 4077906800 4200244004 4773004550 5097383500 5250305005 7636807280 8400488008 9546009100 10194767000 10500610010 11932511375 16800976016 19092018200 20389534000 21001220020 23865022750 26251525025 38184036400 42002440040 47730045500 52503050050 84004880080 95460091000 105006100100 131257625125 190920182000 210012200200 262515250250 420024400400 525030500500 1050061001000 2100122002000