Search a number
-
+
10301142410034 = 2372323063462373
BaseRepresentation
bin1001010111100110101111…
…1011110010001100110010
31100110210001022210201112020
42111321223323302030302
52322233214424110114
633524140212012310
72112142624526310
oct225715373621462
940423038721466
1010301142410034
113311765381943
1211a451b901096
135995168665a8
14278813c8d0b0
1512ce52a63aa9
hex95e6bef2332

10301142410034 has 64 divisors (see below), whose sum is σ = 24570302828544. Its totient is φ = 2815090888896.

The previous prime is 10301142410029. The next prime is 10301142410081. The reversal of 10301142410034 is 43001424110301.

It is a super-2 number, since 2×103011424100342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301142409986 and 10301142410013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22047672 + ... + 22510044.

It is an arithmetic number, because the mean of its divisors is an integer number (383910981696).

Almost surely, 210301142410034 is an apocalyptic number.

10301142410034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10301142410034 is an abundant number, since it is smaller than the sum of its proper divisors (14269160418510).

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

10301142410034 is a wasteful number, since it uses less digits than its factorization.

10301142410034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485471.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10301142410034 its reverse (43001424110301), we get a palindrome (53302566520335).

The spelling of 10301142410034 in words is "ten trillion, three hundred one billion, one hundred forty-two million, four hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 23063 46126 69189 138378 161441 322882 462373 484323 530449 924746 968646 1060898 1387119 1591347 2774238 3182694 3236611 3713143 6473222 7426286 9709833 10634579 11139429 19419666 21269158 22278858 31903737 63807474 74442053 148884106 223326159 446652318 10663708499 21327416998 31991125497 63982250994 74645959493 149291918986 223937878479 245265295477 447875756958 490530590954 735795886431 1471591772862 1716857068339 3433714136678 5150571205017 10301142410034