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10212022220000 = 25541074771973
BaseRepresentation
bin1001010010011010101111…
…1101001111010011100000
31100011021000101102222210012
42110212223331033103200
52314303210142020000
633415201021024052
72102536300441346
oct224465375172340
940137011388705
1010212022220000
113287992353027
12118b1a96b5028
13590cb30bbc33
1427439bb73996
1512a988a76735
hex949abf4f4e0

10212022220000 has 120 divisors (see below), whose sum is σ = 25357907165976. Its totient is φ = 4046632256000.

The previous prime is 10212022219967. The next prime is 10212022220083. The reversal of 10212022220000 is 2222021201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 245987 + ... + 4525986.

Almost surely, 210212022220000 is an apocalyptic number.

10212022220000 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 10212022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678953582988).

10212022220000 is an abundant number, since it is smaller than the sum of its proper divisors (15145884945976).

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

10212022220000 is an equidigital number, since it uses as much as digits as its factorization.

10212022220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772110 (or 4772087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10212022220000 its reverse (2222021201), we get a palindrome (10214244241201).

The spelling of 10212022220000 in words is "ten trillion, two hundred twelve billion, twenty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 200 214 250 400 428 500 535 625 800 856 1000 1070 1250 1712 2000 2140 2500 2675 3424 4000 4280 5000 5350 8560 10000 10700 13375 17120 20000 21400 26750 42800 53500 66875 85600 107000 133750 214000 267500 428000 535000 1070000 2140000 4771973 9543946 19087892 23859865 38175784 47719730 76351568 95439460 119299325 152703136 190878920 238598650 381757840 477197300 510601111 596496625 763515680 954394600 1021202222 1192993250 1908789200 2042404444 2385986500 2553005555 2982483125 3817578400 4084808888 4771973000 5106011110 5964966250 8169617776 9543946000 10212022220 11929932500 12765027775 16339235552 19087892000 20424044440 23859865000 25530055550 40848088880 47719730000 51060111100 63825138875 81696177760 95439460000 102120222200 127650277750 204240444400 255300555500 319125694375 408480888800 510601111000 638251388750 1021202222000 1276502777500 2042404444000 2553005555000 5106011110000 10212022220000