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10220210002000 = 245322922314869
BaseRepresentation
bin1001010010111001001111…
…1111001001100001010000
31100012001011000012102011101
42110232103333021201100
52314421442230031000
633423033305354144
72103246221441035
oct224562377114120
940161130172141
1010220210002000
113290404118909
1211908b3798954
135919b94cc05b
1427493735d38c
1512acb77b5e6a
hex94b93fc9850

10220210002000 has 80 divisors (see below), whose sum is σ = 24820383603600. Its totient is φ = 4070231923200.

The previous prime is 10220210001977. The next prime is 10220210002031. The reversal of 10220210002000 is 20001202201.

It can be written as a sum of positive squares in 8 ways, for example, as 235469503504 + 9984740498496 = 485252^2 + 3159864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10699435 + ... + 11615434.

It is an arithmetic number, because the mean of its divisors is an integer number (310254795045).

Almost surely, 210220210002000 is an apocalyptic number.

10220210002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220210002000 is an abundant number, since it is smaller than the sum of its proper divisors (14600173601600).

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

10220210002000 is a wasteful number, since it uses less digits than its factorization.

10220210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22315121 (or 22315105 counting only the distinct ones).

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

Adding to 10220210002000 its reverse (20001202201), we get a palindrome (10240211204201).

The spelling of 10220210002000 in words is "ten trillion, two hundred twenty billion, two hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 229 250 400 458 500 916 1000 1145 1832 2000 2290 3664 4580 5725 9160 11450 18320 22900 28625 45800 57250 91600 114500 229000 458000 22314869 44629738 89259476 111574345 178518952 223148690 357037904 446297380 557871725 892594760 1115743450 1785189520 2231486900 2789358625 4462973800 5110105001 5578717250 8925947600 10220210002 11157434500 20440420004 22314869000 25550525005 40880840008 44629738000 51101050010 81761680016 102202100020 127752625025 204404200040 255505250050 408808400080 511010500100 638763125125 1022021000200 1277526250250 2044042000400 2555052500500 5110105001000 10220210002000