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132302210342010 = 235231607162173607
BaseRepresentation
bin11110000101010000000010…
…010000000001110001111010
3122100102222010111221011200220
4132011100002100001301322
5114320114411321421020
61145214444003240510
736603343051554042
oct3605200220016172
9570388114834626
10132302210342010
1139179063698a45
1212a0907a679136
1358a907785ac27
142495665560722
15104673dce6240
hex785402401c7a

132302210342010 has 128 divisors (see below), whose sum is σ = 331745965645824. Its totient is φ = 33704387608320.

The previous prime is 132302210341919. The next prime is 132302210342023. The reversal of 132302210342010 is 10243012203231.

It is a super-2 number, since 2×1323022103420102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1797376627 + ... + 1797450233.

It is an arithmetic number, because the mean of its divisors is an integer number (2591765356608).

Almost surely, 2132302210342010 is an apocalyptic number.

132302210342010 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 132302210342010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165872982822912).

132302210342010 is an abundant number, since it is smaller than the sum of its proper divisors (199443755303814).

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

132302210342010 is a wasteful number, since it uses less digits than its factorization.

132302210342010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76868.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132302210342010 its reverse (10243012203231), we get a palindrome (142545222545241).

The spelling of 132302210342010 in words is "one hundred thirty-two trillion, three hundred two billion, two hundred ten million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1607 1621 3214 3242 4821 4863 8035 8105 9642 9726 16070 16210 24105 24315 36961 37283 48210 48630 73607 73922 74566 110883 111849 147214 184805 186415 220821 221766 223698 368035 369610 372830 441642 554415 559245 736070 1104105 1108830 1118490 1692961 2208210 2604947 3385922 5078883 5209894 7814841 8464805 10157766 13024735 15629682 16929610 25394415 26049470 39074205 50788830 59913781 78148410 118286449 119316947 119827562 179741343 236572898 238633894 299568905 354859347 357950841 359482686 591432245 596584735 599137810 709718694 715901682 898706715 1182864490 1193169470 1774296735 1789754205 1797413430 2720588327 2744289781 3548593470 3579508410 5441176654 5488579562 8161764981 8232869343 13602941635 13721448905 16323529962 16465738686 27205883270 27442897810 40808824905 41164346715 81617649810 82328693430 191742333829 383484667658 575227001487 958711669145 1150454002974 1917423338290 2876135007435 4410073678067 5752270014870 8820147356134 13230221034201 22050368390335 26460442068402 44100736780670 66151105171005 132302210342010