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10000212220000 = 2554823760703
BaseRepresentation
bin1001000110000101101100…
…0110001101100001100000
31022102000021222120010221101
42101201123012031201200
52302320413312020000
633134011205404144
72051330403235432
oct221413306154140
938360258503841
1010000212220000
113206080103052
121156136a09654
135770291009a2
142680273b2652
151251dd8b2e6a
hex9185b18d860

10000212220000 has 120 divisors (see below), whose sum is σ = 24605414197056. Its totient is φ = 3999533376000.

The previous prime is 10000212219953. The next prime is 10000212220093. The reversal of 10000212220000 is 2221200001.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164709649 + ... + 164770351.

Almost surely, 210000212220000 is an apocalyptic number.

10000212220000 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 10000212220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302707098528).

10000212220000 is an abundant number, since it is smaller than the sum of its proper divisors (14605201977056).

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

10000212220000 is an frugal number, since it uses more digits than its factorization.

10000212220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68970 (or 68947 counting only the distinct ones).

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

Adding to 10000212220000 its reverse (2221200001), we get a palindrome (10002433420001).

The spelling of 10000212220000 in words is "ten trillion, two hundred twelve million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 8237 10000 16474 20000 32948 41185 60703 65896 82370 121406 131792 164740 205925 242812 263584 303515 329480 411850 485624 607030 658960 823700 971248 1029625 1214060 1317920 1517575 1647400 1942496 2059250 2428120 3035150 3294800 4118500 4856240 5148125 6070300 6589600 7587875 8237000 9712480 10296250 12140600 15175750 16474000 20592500 24281200 30351500 32948000 37939375 41185000 48562400 60703000 75878750 82370000 121406000 151757500 164740000 242812000 303515000 500010611 607030000 1000021222 1214060000 2000042444 2500053055 4000084888 5000106110 8000169776 10000212220 12500265275 16000339552 20000424440 25000530550 40000848880 50001061100 62501326375 80001697760 100002122200 125002652750 200004244400 250005305500 312506631875 400008488800 500010611000 625013263750 1000021222000 1250026527500 2000042444000 2500053055000 5000106110000 10000212220000