Search a number
-
+
101204433424320 = 2635313400686607
BaseRepresentation
bin10111000000101101111110…
…010011011100111111000000
3111021100001022222021221002220
4113000231332103130333000
5101231113134424034240
6555124401435011040
730213531130263522
oct2700557623347700
9437301288257086
10101204433424320
112a279617301606
12b42611bb99a80
1344616ca097445
141adc46c075a12
15ba785d7e75d0
hex5c0b7e4dcfc0

101204433424320 has 112 divisors (see below), whose sum is σ = 331689368997888. Its totient is φ = 26117273134080.

The previous prime is 101204433424253. The next prime is 101204433424327. The reversal of 101204433424320 is 23424334402101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101204433424327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1700313544 + ... + 1700373063.

Almost surely, 2101204433424320 is an apocalyptic number.

101204433424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101204433424320 is an abundant number, since it is smaller than the sum of its proper divisors (230484935573568).

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

101204433424320 is a wasteful number, since it uses less digits than its factorization.

101204433424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400686658 (or 3400686648 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 101204433424320 its reverse (23424334402101), we get a palindrome (124628767826421).

The spelling of 101204433424320 in words is "one hundred one trillion, two hundred four billion, four hundred thirty-three million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 3400686607 6801373214 10202059821 13602746428 17003433035 20404119642 27205492856 34006866070 40808239284 51010299105 54410985712 68013732140 81616478568 102020598210 105421284817 108821971424 136027464280 163232957136 204041196420 210842569634 217643942848 272054928560 316263854451 326465914272 408082392840 421685139268 527106424085 544109857120 632527708902 652931828544 816164785680 843370278536 1054212848170 1088219714240 1265055417804 1581319272255 1632329571360 1686740557072 2108425696340 2530110835608 3162638544510 3264659142720 3373481114144 4216851392680 5060221671216 6325277089020 6746962228288 8433702785360 10120443342432 12650554178040 16867405570720 20240886684864 25301108356080 33734811141440 50602216712160 101204433424320