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10222111121000 = 2353101101209021
BaseRepresentation
bin1001010011000000010101…
…0011010101111001101000
31100012020001111111021011012
42110300011103111321220
52314434340421333000
633423550101123052
72103344304621032
oct224600523257150
940166044437135
1010222111121000
11329119a268739
1211911443b9488
13591c3033503c
14274a77a38c52
1512ad79645735
hex94c054d5e68

10222111121000 has 64 divisors (see below), whose sum is σ = 24156569370960. Its totient is φ = 4048360800000.

The previous prime is 10222111120951. The next prime is 10222111121099. The reversal of 10222111121000 is 12111122201.

It can be written as a sum of positive squares in 8 ways, for example, as 2588063692516 + 7634047428484 = 1608746^2 + 2762978^2 .

It is an unprimeable number.

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, 50503511 + ... + 50705510.

Almost surely, 210222111121000 is an apocalyptic number.

10222111121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222111121000 is an abundant number, since it is smaller than the sum of its proper divisors (13934458249960).

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

10222111121000 is a wasteful number, since it uses less digits than its factorization.

10222111121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101209143 (or 101209129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10222111121000 its reverse (12111122201), we get a palindrome (10234222243201).

The spelling of 10222111121000 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty-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 10100 12625 20200 25250 50500 101000 101209021 202418042 404836084 506045105 809672168 1012090210 2024180420 2530225525 4048360840 5060451050 10120902100 10222111121 12651127625 20241804200 20444222242 25302255250 40888444484 50604510500 51110555605 81776888968 101209021000 102221111210 204442222420 255552778025 408884444840 511105556050 1022211112100 1277763890125 2044422224200 2555527780250 5111055560500 10222111121000