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31212103200120 = 23325374591510401
BaseRepresentation
bin1110001100011001000100…
…10100101110110101111000
311002111211220010201010202200
413012030202110232311320
513042334341404400440
6150214350421230200
76401000004530043
oct706144224566570
9132454803633680
1031212103200120
119a43a84616577
123601146262360
13145539a382a1b
1479c9610b7c5a
15391d7231cc30
hex1c632252ed78

31212103200120 has 192 divisors, whose sum is σ = 104203835648640. Its totient is φ = 8096495616000.

The previous prime is 31212103200107. The next prime is 31212103200151. The reversal of 31212103200120 is 2100230121213.

31212103200120 is a `hidden beast` number, since 3 + 1 + 212 + 10 + 320 + 0 + 120 = 666.

It is a super-2 number, since 2×312121032001202 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31212103200093 and 31212103200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60896920 + ... + 61407320.

It is an arithmetic number, because the mean of its divisors is an integer number (542728310670).

Almost surely, 231212103200120 is an apocalyptic number.

31212103200120 is a gapful number since it is divisible by the number (30) 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 31212103200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101917824320).

31212103200120 is an abundant number, since it is smaller than the sum of its proper divisors (72991732448520).

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

31212103200120 is a wasteful number, since it uses less digits than its factorization.

31212103200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515046 (or 515039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31212103200120 its reverse (2100230121213), we get a palindrome (33312333321333).

The spelling of 31212103200120 in words is "thirty-one trillion, two hundred twelve billion, one hundred three million, two hundred thousand, one hundred twenty".