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1034212413330 = 2325151550313829
BaseRepresentation
bin11110000110010111101…
…11010000111110010010
310122212111001010002121200
433003023313100332102
5113421031334211310
62111035521132030
7134501514316215
oct17031367207622
93585431102550
101034212413330
11369674a44458
1214852b78a016
13766ab2947b5
14380b00d977c
151bd800c29c0
hexf0cbdd0f92

1034212413330 has 96 divisors (see below), whose sum is σ = 2707447541760. Its totient is φ = 273893961600.

The previous prime is 1034212413251. The next prime is 1034212413337. The reversal of 1034212413330 is 333142124301.

It is a happy number.

1034212413330 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 212 + 413 + 3 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1034212413294 and 1034212413303.

It is not an unprimeable number, because it can be changed into a prime (1034212413337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74778856 + ... + 74792684.

It is an arithmetic number, because the mean of its divisors is an integer number (28202578560).

Almost surely, 21034212413330 is an apocalyptic number.

1034212413330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034212413330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353723770880).

1034212413330 is an abundant number, since it is smaller than the sum of its proper divisors (1673235128430).

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

1034212413330 is a wasteful number, since it uses less digits than its factorization.

1034212413330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19496 (or 19493 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1034212413330 its reverse (333142124301), we get a palindrome (1367354537631).

The spelling of 1034212413330 in words is "one trillion, thirty-four billion, two hundred twelve million, four hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1359 1510 2265 2718 4530 5503 6795 11006 13590 13829 16509 27515 27658 33018 41487 49527 55030 69145 82545 82974 99054 124461 138290 165090 207435 247635 248922 414870 495270 622305 830953 1244610 1661906 2088179 2492859 4154765 4176358 4985718 6264537 7478577 8309530 10440895 12464295 12529074 14957154 18793611 20881790 24928590 31322685 37392885 37587222 62645370 74785770 76100987 93968055 152201974 187936110 228302961 380504935 456605922 684908883 761009870 1141514805 1369817766 2283029610 3424544415 6849088830 11491249037 22982498074 34473747111 57456245185 68947494222 103421241333 114912490370 172368735555 206842482666 344737471110 517106206665 1034212413330