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132300204241240 = 23574817538118229
BaseRepresentation
bin11110000101001110001010…
…101011010111000101011000
3122100102202221201002200210101
4132011032022223113011120
5114320101304241204430
61145213512541425144
736603242252152540
oct3605161253270530
9570382851080711
10132300204241240
1139178224264822
1212a087ba86b1b4
1358a8b18058a59
142495514d58320
151046672b2adca
hex78538aad7158

132300204241240 has 128 divisors (see below), whose sum is σ = 340353055785600. Its totient is φ = 45339738071040.

The previous prime is 132300204241237. The next prime is 132300204241243. The reversal of 132300204241240 is 42142402003231.

It is an interprime number because it is at equal distance from previous prime (132300204241237) and next prime (132300204241243).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132300204241199 and 132300204241208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300204241243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7257668446 + ... + 7257686674.

It is an arithmetic number, because the mean of its divisors is an integer number (2659008248325).

Almost surely, 2132300204241240 is an apocalyptic number.

132300204241240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300204241240 is an abundant number, since it is smaller than the sum of its proper divisors (208052851544360).

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

132300204241240 is a wasteful number, since it uses less digits than its factorization.

132300204241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28445 (or 28441 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132300204241240 its reverse (42142402003231), we get a palindrome (174442606244471).

The spelling of 132300204241240 in words is "one hundred thirty-two trillion, three hundred billion, two hundred four million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4817 5381 9634 10762 18229 19268 21524 24085 26905 33719 36458 37667 38536 43048 48170 53810 67438 72916 75334 91145 96340 107620 127603 134876 145832 150668 168595 182290 188335 192680 215240 255206 269752 301336 337190 364580 376670 510412 638015 674380 729160 753340 1020824 1276030 1348760 1506680 2552060 5104120 25920277 51840554 87809093 98090249 103681108 129601385 175618186 181441939 196180498 207362216 259202770 351236372 362883878 392360996 439045465 490451245 518405540 614663651 686631743 702472744 725767756 784721992 878090930 907209695 980902490 1036811080 1229327302 1373263486 1451535512 1756181860 1814419390 1961804980 2458654604 2746526972 3073318255 3433158715 3512363720 3628838780 3923609960 4917309208 5493053944 6146636510 6866317430 7257677560 12293273020 13732634860 24586546040 27465269720 472500729433 945001458866 1890002917732 2362503647165 3307505106031 3780005835464 4725007294330 6615010212062 9450014588660 13230020424124 16537525530155 18900029177320 26460040848248 33075051060310 66150102120620 132300204241240