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10001000010222 = 233132917312132341
BaseRepresentation
bin1001000110001000101000…
…0011011001000111101110
31022102002022212221000222000
42101202022003121013232
52302324022000311342
633134221310433130
72051356050320064
oct221421203310756
938362285830860
1010001000010222
113206444864551
1211563168027a6
1357712339a250
1426809dc80034
15125237b2744c
hex9188a0d91ee

10001000010222 has 256 divisors, whose sum is σ = 24933621484800. Its totient is φ = 2950249236480.

The previous prime is 10001000010217. The next prime is 10001000010227. The reversal of 10001000010222 is 22201000010001.

It is an interprime number because it is at equal distance from previous prime (10001000010217) and next prime (10001000010227).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000010227) 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 127 ways as a sum of consecutive naturals, for example, 4272104772 + ... + 4272107112.

It is an arithmetic number, because the mean of its divisors is an integer number (97396958925).

Almost surely, 210001000010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001000010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466810742400).

10001000010222 is an abundant number, since it is smaller than the sum of its proper divisors (14932621474578).

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

10001000010222 is a wasteful number, since it uses less digits than its factorization.

10001000010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001000010222 its reverse (22201000010001), we get a palindrome (32202000020223).

The spelling of 10001000010222 in words is "ten trillion, one billion, ten thousand, two hundred twenty-two".