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10201312133100 = 223452111721929719
BaseRepresentation
bin1001010001110010110110…
…0101011111111111101100
31100010020100222112012120000
42110130231211133333230
52314114241401224400
633410230150424300
72102010011264244
oct224345545377754
940106328465500
1010201312133100
11328339682a240
1211890ba962090
1358cc972700ca
14273a635acb24
1512a55d6a2600
hex9472d95ffec

10201312133100 has 2160 divisors, whose sum is σ = 41787700416000. Its totient is φ = 2126070374400.

The previous prime is 10201312133069. The next prime is 10201312133123. The reversal of 10201312133100 is 133121310201.

10201312133100 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 312 + 1 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×102013121331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 14188194541 + ... + 14188195259.

It is an arithmetic number, because the mean of its divisors is an integer number (19346157600).

Almost surely, 210201312133100 is an apocalyptic number.

10201312133100 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 10201312133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20893850208000).

10201312133100 is an abundant number, since it is smaller than the sum of its proper divisors (31586388282900).

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

10201312133100 is a wasteful number, since it uses less digits than its factorization.

10201312133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10201312133100 its reverse (133121310201), we get a palindrome (10334433443301).

The spelling of 10201312133100 in words is "ten trillion, two hundred one billion, three hundred twelve million, one hundred thirty-three thousand, one hundred".