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1034201122430 = 257293116434151
BaseRepresentation
bin11110000110010110011…
…00001100011001111110
310122212110020212110102012
433003023030030121332
5113421020441404210
62111034435131222
7134501316332150
oct17031314143176
93585406773365
101034201122430
11369669632433
12148527a43b12
13766a8b404a8
14380ac7daad0
151bd7e0e2305
hexf0cb30c67e

1034201122430 has 64 divisors (see below), whose sum is σ = 2271857172480. Its totient is φ = 331312464000.

The previous prime is 1034201122403. The next prime is 1034201122433. The reversal of 1034201122430 is 342211024301.

It is a junction number, because it is equal to n+sod(n) for n = 1034201122396 and 1034201122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034201122433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8154146 + ... + 8280005.

It is an arithmetic number, because the mean of its divisors is an integer number (35497768320).

Almost surely, 21034201122430 is an apocalyptic number.

1034201122430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1034201122430 is an abundant number, since it is smaller than the sum of its proper divisors (1237656050050).

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

1034201122430 is a wasteful number, since it uses less digits than its factorization.

1034201122430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434225.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1034201122430 its reverse (342211024301), we get a palindrome (1376412146731).

The spelling of 1034201122430 in words is "one trillion, thirty-four billion, two hundred one million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 31 35 58 62 70 145 155 203 217 290 310 406 434 899 1015 1085 1798 2030 2170 4495 6293 8990 12586 31465 62930 16434151 32868302 82170755 115039057 164341510 230078114 476590379 509458681 575195285 953180758 1018917362 1150390570 2382951895 2547293405 3336132653 3566210767 4765903790 5094586810 6672265306 7132421534 14774301749 16680663265 17831053835 29548603498 33361326530 35662107670 73871508745 103420112243 147743017490 206840224486 517100561215 1034201122430