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10220002001000 = 235311929091091
BaseRepresentation
bin1001010010111000011110…
…0101101100000001101000
31100012000121111210212102122
42110232013211230001220
52314421031003013000
633423000515250412
72103241114451111
oct224560745540150
940160544725378
1010220002001000
113290307770660
121190855ba9a08
135919853a303c
14274917897208
1512aca43cb085
hex94b8796c068

10220002001000 has 64 divisors (see below), whose sum is σ = 26088877863360. Its totient is φ = 3716364360000.

The previous prime is 10220002000963. The next prime is 10220002001009. The reversal of 10220002001000 is 10020002201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10220002001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464534546 + ... + 464556545.

It is an arithmetic number, because the mean of its divisors is an integer number (407638716615).

Almost surely, 210220002001000 is an apocalyptic number.

10220002001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220002001000 is an abundant number, since it is smaller than the sum of its proper divisors (15868875862360).

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

10220002001000 is a wasteful number, since it uses less digits than its factorization.

10220002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929091123 (or 929091109 counting only the distinct ones).

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

Adding to 10220002001000 its reverse (10020002201), we get a palindrome (10230022003201).

The spelling of 10220002001000 in words is "ten trillion, two hundred twenty billion, two million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 929091091 1858182182 3716364364 4645455455 7432728728 9290910910 10220002001 18581821820 20440004002 23227277275 37163643640 40880008004 46454554550 51100010005 81760016008 92909109100 102200020010 116136386375 185818218200 204400040020 232272772750 255500050025 408800080040 464545545500 511000100050 929091091000 1022000200100 1277500250125 2044000400200 2555000500250 5110001000500 10220002001000