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13310021201232 = 2437373407314243
BaseRepresentation
bin1100000110101111101100…
…0101011110110101010000
31202010102111021002022202210
43001223323011132311100
53221032410411414412
644150312254512120
72542421506340130
oct301537305366520
952112437068683
1013310021201232
114271825a81888
1215ab6a3205640
1375718b9b85a2
143402cc048ac0
151813569e083c
hexc1afb15ed50

13310021201232 has 160 divisors (see below), whose sum is σ = 40370288136192. Its totient is φ = 3698985318912.

The previous prime is 13310021201101. The next prime is 13310021201263. The reversal of 13310021201232 is 23210212001331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13310021201199 and 13310021201208.

It is a congruent number.

It is an unprimeable number.

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, 42198703 + ... + 42512945.

Almost surely, 213310021201232 is an apocalyptic number.

13310021201232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310021201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20185144068096).

13310021201232 is an abundant number, since it is smaller than the sum of its proper divisors (27060266934960).

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

13310021201232 is a wasteful number, since it uses less digits than its factorization.

13310021201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317705 (or 317699 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13310021201232 its reverse (23210212001331), we get a palindrome (36520233202563).

The spelling of 13310021201232 in words is "thirteen trillion, three hundred ten billion, twenty-one million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 3407 4144 6216 6814 10221 12432 13628 20442 23849 27256 40884 47698 54512 71547 81768 95396 126059 143094 163536 190792 252118 286188 314243 378177 381584 504236 572376 628486 756354 882413 942729 1008472 1144752 1256972 1512708 1764826 1885458 2016944 2199701 2513944 2647239 3025416 3529652 3770916 4399402 5027888 5294478 6050832 6599103 7059304 7541832 8798804 10588956 11626991 13198206 14118608 15083664 17597608 21177912 23253982 26396412 34880973 35195216 42355824 46507964 52792824 69761946 81388937 93015928 105585648 139523892 162777874 186031856 244166811 279047784 325555748 488333622 558095568 651111496 976667244 1070625901 1302222992 1953334488 2141251802 3211877703 3906668976 4282503604 6423755406 7494381307 8565007208 12847510812 14988762614 17130014416 22483143921 25695021624 29977525228 39613158337 44966287842 51390043248 59955050456 79226316674 89932575684 118839475011 119910100912 158452633348 179865151368 237678950022 277292108359 316905266696 359730302736 475357900044 554584216718 633810533392 831876325077 950715800088 1109168433436 1663752650154 1901431600176 2218336866872 3327505300308 4436673733744 6655010600616 13310021201232