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10302012120312 = 233311191211271397
BaseRepresentation
bin1001010111101001111111…
…0001011101110011111000
31100110212021221022120202000
42111322133301131303320
52322242010100322222
633524402400541000
72112203315121633
oct225723761356370
940425257276660
1010302012120312
1133120712a6070
1211a4723021760
13599624ab6163
142788975a2c1a
1512cea40aa9ac
hex95e9fc5dcf8

10302012120312 has 512 divisors, whose sum is σ = 31726456012800. Its totient is φ = 3071597760000.

The previous prime is 10302012120271. The next prime is 10302012120329. The reversal of 10302012120312 is 21302121020301.

10302012120312 is a `hidden beast` number, since 1 + 0 + 30 + 201 + 2 + 120 + 312 = 666.

It is a super-2 number, since 2×103020121203122 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25949652498 + ... + 25949652894.

It is an arithmetic number, because the mean of its divisors is an integer number (61965734400).

Almost surely, 210302012120312 is an apocalyptic number.

10302012120312 is a gapful number since it is divisible by the number (12) 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 10302012120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863228006400).

10302012120312 is an abundant number, since it is smaller than the sum of its proper divisors (21424443892488).

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

10302012120312 is a wasteful number, since it uses less digits than its factorization.

10302012120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

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

Adding to 10302012120312 its reverse (21302121020301), we get a palindrome (31604133140613).

It can be divided in two parts, 1030201 and 2120312, that added together give a palindrome (3150513).

The spelling of 10302012120312 in words is "ten trillion, three hundred two billion, twelve million, one hundred twenty thousand, three hundred twelve".