Search a number
-
+
101553332413346 = 211831012695213929
BaseRepresentation
bin10111000101110010111010…
…010011011110001110100010
3111022120101220100021222100122
4113011302322103132032202
5101302322211044211341
6555552542403120242
730250662150615332
oct2705627223361642
9438511810258318
10101553332413346
112a3a3587726030
12b481871673082
13448859081cb88
141b112c95c50c2
15bb197dd6594b
hex5c5cba4de3a2

101553332413346 has 128 divisors (see below), whose sum is σ = 170847558201600. Its totient is φ = 44887298560000.

The previous prime is 101553332413283. The next prime is 101553332413387. The reversal of 101553332413346 is 643314233355101.

It is a junction number, because it is equal to n+sod(n) for n = 101553332413297 and 101553332413306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25847117510 + ... + 25847121438.

It is an arithmetic number, because the mean of its divisors is an integer number (1334746548450).

Almost surely, 2101553332413346 is an apocalyptic number.

101553332413346 is a deficient number, since it is larger than the sum of its proper divisors (69294225788254).

101553332413346 is a wasteful number, since it uses less digits than its factorization.

101553332413346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916.

The product of its (nonzero) digits is 1166400, while the sum is 44.

Adding to 101553332413346 its reverse (643314233355101), we get a palindrome (744867565768447).

The spelling of 101553332413346 in words is "one hundred one trillion, five hundred fifty-three billion, three hundred thirty-two million, four hundred thirteen thousand, three hundred forty-six".

Divisors: 1 2 11 22 83 101 166 202 269 521 538 913 1042 1111 1826 2222 2959 3929 5731 5918 7858 8383 11462 16766 22327 27169 43219 43243 44654 52621 54338 86438 86486 92213 105242 140149 184426 245597 280298 298859 326107 396829 475673 491194 578831 597718 652214 793658 951346 1056901 1157662 1541639 2047009 2113802 2255027 3083278 3587177 4094018 4365119 4367543 4510054 7174354 8730238 8735086 11625911 11632367 14155049 22517099 23251822 23264734 24805297 28310098 32936807 45034198 48042973 49610594 65873614 87722783 96085946 106747001 127956037 155705539 169901747 175445566 206747909 213494002 255912074 311411078 339803494 362304877 413495818 550645421 724609754 964950613 1101290842 1174217011 1174869067 1868919217 1929901226 2274226999 2348434022 2349738134 3737838434 4548453998 6057099631 8860001083 12114199262 12923559737 17160076447 17720002166 25847119474 34320152894 45703569943 55615187521 91407139886 97460011913 111230375042 188760840917 194920023826 377521681834 502739269373 611767062731 1005478538746 1223534125462 4616060564243 9232121128486 50776666206673 101553332413346