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10002012212220 = 22357192349189019
BaseRepresentation
bin1001000110001100011001…
…1000101000101111111100
31022102011221102120020001220
42101203012120220233330
52302333110111242340
633134505545433340
72051423121021240
oct221430630505774
938364842506056
1010002012212220
113206914161926
12115655979b850
13577254cba342
14268158486420
15125296918ed0
hex918c6628bfc

10002012212220 has 288 divisors, whose sum is σ = 33876618048000. Its totient is φ = 2159631963648.

The previous prime is 10002012212219. The next prime is 10002012212221. The reversal of 10002012212220 is 2221221020001.

It is an interprime number because it is at equal distance from previous prime (10002012212219) and next prime (10002012212221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002012212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002012212221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52820871 + ... + 53009889.

It is an arithmetic number, because the mean of its divisors is an integer number (117627146000).

Almost surely, 210002012212220 is an apocalyptic number.

10002012212220 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 10002012212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938309024000).

10002012212220 is an abundant number, since it is smaller than the sum of its proper divisors (23874605835780).

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

10002012212220 is a wasteful number, since it uses less digits than its factorization.

10002012212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189425 (or 189404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002012212220 its reverse (2221221020001), we get a palindrome (12223233232221).

The spelling of 10002012212220 in words is "ten trillion, two billion, twelve million, two hundred twelve thousand, two hundred twenty".