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202101013312 = 2611461622723
BaseRepresentation
bin1011110000111000101…
…0001011101101000000
3201022122202201012221021
42330032022023231000
511302400324411222
6232502142035224
720413152161152
oct2741612135500
9638582635837
10202101013312
117878a831640
1233203278b14
131609a6a3313
149ad3152ad2
1553ccb3bac7
hex2f0e28bb40

202101013312 has 56 divisors (see below), whose sum is σ = 438452495712. Its totient is φ = 91664678400.

The previous prime is 202101013291. The next prime is 202101013339. The reversal of 202101013312 is 213310101202.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 13183 + ... + 635905.

It is an arithmetic number, because the mean of its divisors is an integer number (7829508852).

Almost surely, 2202101013312 is an apocalyptic number.

202101013312 is a gapful number since it is divisible by the number (22) 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 202101013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219226247856).

202101013312 is an abundant number, since it is smaller than the sum of its proper divisors (236351482400).

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

202101013312 is a wasteful number, since it uses less digits than its factorization.

202101013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623207 (or 623197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 202101013312 its reverse (213310101202), we get a palindrome (415411114514).

The spelling of 202101013312 in words is "two hundred two billion, one hundred one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 461 704 922 1844 3688 5071 7376 10142 14752 20284 29504 40568 81136 162272 324544 622723 1245446 2490892 4981784 6849953 9963568 13699906 19927136 27399812 39854272 54799624 109599248 219198496 287075303 438396992 574150606 1148301212 2296602424 3157828333 4593204848 6315656666 9186409696 12631313332 18372819392 25262626664 50525253328 101050506656 202101013312