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10220200201000 = 2353101615116451
BaseRepresentation
bin1001010010111001001101…
…1001110000101100101000
31100012001010022202110201101
42110232103121300230220
52314421432222413000
633423032315331144
72103246042230506
oct224562331605450
940161108673641
1010220200201000
1132903a9634209
1211908b0450ab4
135919b7479c4a
14274935d2b676
1512acb69cbe6a
hex94b93670b28

10220200201000 has 128 divisors (see below), whose sum is σ = 24157448190720. Its totient is φ = 4046700000000.

The previous prime is 10220200200983. The next prime is 10220200201069. The reversal of 10220200201000 is 10200202201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621242775 + ... + 621259225.

It is an arithmetic number, because the mean of its divisors is an integer number (188730063990).

Almost surely, 210220200201000 is an apocalyptic number.

10220200201000 is a gapful number since it is divisible by the number (10) 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 10220200201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078724095360).

10220200201000 is an abundant number, since it is smaller than the sum of its proper divisors (13937247989720).

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

10220200201000 is a wasteful number, since it uses less digits than its factorization.

10220200201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22724 (or 22710 counting only the distinct ones).

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

Adding to 10220200201000 its reverse (10200202201), we get a palindrome (10230400403201).

The spelling of 10220200201000 in words is "ten trillion, two hundred twenty billion, two hundred million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 6151 10100 12302 12625 16451 20200 24604 25250 30755 32902 49208 50500 61510 65804 82255 101000 123020 131608 153775 164510 246040 307550 329020 411275 615100 621251 658040 768875 822550 1230200 1242502 1537750 1645100 1661551 2056375 2485004 3075500 3106255 3290200 3323102 4112750 4970008 6151000 6212510 6646204 8225500 8307755 12425020 13292408 15531275 16451000 16615510 24850040 31062550 33231020 41538775 62125100 66462040 77656375 83077550 101190101 124250200 155312750 166155100 202380202 207693875 310625500 332310200 404760404 415387750 505950505 621251000 809520808 830775500 1011901010 1661551000 2023802020 2529752525 4047604040 5059505050 10119010100 10220200201 12648762625 20238020200 20440400402 25297525250 40880800804 50595050500 51101001005 81761601608 101190101000 102202002010 204404004020 255505005025 408808008040 511010010050 1022020020100 1277525025125 2044040040200 2555050050250 5110100100500 10220200201000