Search a number
-
+
10001610516030 = 235765817237003
BaseRepresentation
bin1001000110001010111001…
…1100010010011000111110
31022102010220102200221111020
42101202232130102120332
52302331244243003110
633134402040005010
72051410142453310
oct221425634223076
938363812627436
1010001610516030
113206728438601
121156467160766
135771bca039a3
1426811ad9d7b0
1512527151cd70
hex918ae71263e

10001610516030 has 64 divisors (see below), whose sum is σ = 27437161148928. Its totient is φ = 2285734711680.

The previous prime is 10001610515999. The next prime is 10001610516031. The reversal of 10001610516030 is 3061501610001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001610516031) 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, 2236492 + ... + 5000511.

It is an arithmetic number, because the mean of its divisors is an integer number (428705642952).

Almost surely, 210001610516030 is an apocalyptic number.

10001610516030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001610516030 is an abundant number, since it is smaller than the sum of its proper divisors (17435550632898).

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

10001610516030 is a wasteful number, since it uses less digits than its factorization.

10001610516030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243601.

The product of its (nonzero) digits is 540, while the sum is 24.

The spelling of 10001610516030 in words is "ten trillion, one billion, six hundred ten million, five hundred sixteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 6581 13162 19743 32905 39486 46067 65810 92134 98715 138201 197430 230335 276402 460670 691005 1382010 7237003 14474006 21711009 36185015 43422018 50659021 72370030 101318042 108555045 151977063 217110090 253295105 303954126 506590210 759885315 1519770630 47626716743 95253433486 142880150229 238133583715 285760300458 333387017201 476267167430 666774034402 714400751145 1000161051603 1428801502290 1666935086005 2000322103206 3333870172010 5000805258015 10001610516030